Artigo em revista |
- Cushing, J. M.; Park, Junpyo; Farrell, Alex; Chitnis, Nakul. "Treatment outcome in an SI model
with evolutionary resistance: a Darwinian model for the evolution of resistance". Journal of Biological Dynamics 17
1 (2023): http://dx.doi.org/10.1080/17513758.2023.2255061.
10.1080/17513758.2023.2255061
- CUSHING, J. M.; STEFANKO, KATHRYN. "A DARWINIAN DYNAMIC MODEL FOR THE EVOLUTION OF POST-REPRODUCTION SURVIVAL". Journal
of Biological Systems 29 02 (2021): 433-450. http://dx.doi.org/10.1142/s0218339021400088.
10.1142/s0218339021400088
- Cushing, J. M.. "A bifurcation theorem for Darwinian matrix models and an application to the evolution of reproductive life-history
strategies". Journal of Biological Dynamics (2020): 1-24. http://dx.doi.org/10.1080/17513758.2020.1858196.
10.1080/17513758.2020.1858196
- Cushing, J.M.; Farrell, A.P.. "A bifurcation theorem for nonlinear matrix models of population dynamics". Journal of Difference
Equations and Applications 26 1 (2020): 25-44. http://www.scopus.com/inward/record.url?eid=2-s2.0-85076405338&partnerID=MN8TOARS.
10.1080/10236198.2019.1699916
- Cushing, J.M.. "Discrete time darwinian dynamics and semelparity versus iteroparity". Mathematical Biosciences and Engineering
16 4 (2019): 1815-1835. http://www.scopus.com/inward/record.url?eid=2-s2.0-85062858194&partnerID=MN8TOARS.
10.3934/mbe.2019088
- Cushing, J.M.. "Difference equations as models of evolutionary population dynamics". Journal of Biological Dynamics
13 1 (2019): 103-127. http://www.scopus.com/inward/record.url?eid=2-s2.0-85061030116&partnerID=MN8TOARS.
10.1080/17513758.2019.1574034
- Cushing, J.; Elaydi, S.. "Editorial". Journal of Biological Dynamics 13 sup1 (2019): 1-1. http://www.scopus.com/inward/record.url?eid=2-s2.0-85070271684&partnerID=MN8TOARS.
10.1080/17513758.2019.1648019
- Robertson, S.L.; Henson, S.M.; Robertson, T.; Cushing, J.M.. "A matter of maturity: To delay or not to delay? Continuous-time
compartmental models of structured populations in the literature 2000–2016". Natural Resource Modeling 31 1 (2018):
http://www.scopus.com/inward/record.url?eid=2-s2.0-85040984362&partnerID=MN8TOARS.
10.1111/nrm.12160
- Cushing, J.M.; Henson, S.M.. "Periodic matrix models for seasonal dynamics of structured populations with application to a
seabird population". Journal of Mathematical Biology 77 6-7 (2018): 1689-1720. http://www.scopus.com/inward/record.url?eid=2-s2.0-85044918542&partnerID=MN8TOARS.
10.1007/s00285-018-1211-4
- De Leenheer, P.; Mohapatra, A.; Ohms, H.A.; Lytle, D.A.; Cushing, J.M.. "The puzzle of partial migration: Adaptive dynamics
and evolutionary game theory perspectives". Journal of Theoretical Biology 412 (2017): 172-185. http://www.scopus.com/inward/record.url?eid=2-s2.0-85006312484&partnerID=MN8TOARS.
10.1016/j.jtbi.2016.10.011
- Veprauskas, A.; Cushing, J.M.. "A juvenile–adult population model: climate change, cannibalism, reproductive synchrony, and
strong Allee effects". Journal of Biological Dynamics 11 (2017): 1-24. http://www.scopus.com/inward/record.url?eid=2-s2.0-84958538962&partnerID=MN8TOARS.
10.1080/17513758.2015.1131853
- Cushing, J.M.; Martins, F.; Pinto, A.A.; Veprauskas, A.. "A bifurcation theorem for evolutionary matrix models with multiple
traits". Journal of Mathematical Biology 75 2 (2017): 491-520. http://www.scopus.com/inward/record.url?eid=2-s2.0-85008471347&partnerID=MN8TOARS.
10.1007/s00285-016-1091-4
- Meissen, E.P.; Salau, K.R.; Cushing, J.M.. "A global bifurcation theorem for Darwinian matrix models". Journal of Difference
Equations and Applications 22 8 (2016): 1114-1136. http://www.scopus.com/inward/record.url?eid=2-s2.0-84966697253&partnerID=MN8TOARS.
10.1080/10236198.2016.1177522
- Cushing, J.M.; Diekmann, O.. "The many guises of R0 (a didactic note)". Journal of Theoretical Biology 404
(2016): 295-302. http://www.scopus.com/inward/record.url?eid=2-s2.0-84976315908&partnerID=MN8TOARS.
10.1016/j.jtbi.2016.06.017
- Veprauskas, A.; Cushing, J.M.. "Evolutionary dynamics of a multi-trait semelparous model". Discrete and Continuous Dynamical
Systems - Series B 21 2 (2016): 655-676. http://www.scopus.com/inward/record.url?eid=2-s2.0-84954526745&partnerID=MN8TOARS.
10.3934/dcdsb.2016.21.655
- Veprauskas, A.; Cushing, J.M.. "Erratum: Evolutionary dynamics of a multi-trait semelparous model (Discrete and Continuous
Dynamical Systems - Series B (2016) 21 (655-676))". Discrete and Continuous Dynamical Systems - Series B 21 3 (2016):
1023-1026. http://www.scopus.com/inward/record.url?eid=2-s2.0-84959885443&partnerID=MN8TOARS.
10.3934/dcdsb.2016.21.1023
- Cushing, J.M.; Henson, S.M.; Hayward, J.L.. "An evolutionary game-theoretic model of cannibalism". Natural Resource Modeling
28 4 (2015): 497-521. http://www.scopus.com/inward/record.url?eid=2-s2.0-84945290765&partnerID=MN8TOARS.
10.1111/nrm.12079
- Ackleh, A.S.; Cushing, J.M.; Salceanu, P.L.. "On the dynamics of evolutionary competition models". Natural Resource Modeling
28 4 (2015): 380-397. http://www.scopus.com/inward/record.url?eid=2-s2.0-84945301083&partnerID=MN8TOARS.
10.1111/nrm.12074
- Cushing, J.M.. "The evolutionary dynamics of a population model with a strong Allee effect". Mathematical Biosciences and
Engineering 12 4 (2015): 643-660. http://www.scopus.com/inward/record.url?eid=2-s2.0-84927612727&partnerID=MN8TOARS.
10.3934/mbe.2015.12.643
- Henson, S.M.; Cushing, J.M.; Hayward, J.L.. "Introduction to special issue on eco-evolutionary dynamics". Natural Resource
Modeling 28 4 (2015): 377-379. http://www.scopus.com/inward/record.url?eid=2-s2.0-84945252413&partnerID=MN8TOARS.
10.1111/nrm.12081
- Cushing, J.M.. "Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations".
Journal of Biological Dynamics 8 1 (2014): 57-73. http://www.scopus.com/inward/record.url?eid=2-s2.0-84902305728&partnerID=MN8TOARS.
10.1080/17513758.2014.899638
- Cushing, J.M.; Stump, S.M.. "Darwinian dynamics of a juvenile-adult model". Mathematical Biosciences and Engineering
10 4 (2013): 1017-1044. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884484329&partnerID=MN8TOARS.
10.3934/mbe.2013.10.1017
- Robertson, S.L.; Cushing, J.M.; Costantino, R.F.. "Life Stages: Interactions and Spatial Patterns". Bulletin of Mathematical
Biology 74 2 (2012): 491-508. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856250043&partnerID=MN8TOARS.
10.1007/s11538-011-9705-x
- Cushing, J.M.. "A dynamic dichotomy for a system of hierarchical difference equations". Journal of Difference Equations
and Applications 18 1 (2012): 1-26. http://www.scopus.com/inward/record.url?eid=2-s2.0-84855443324&partnerID=MN8TOARS.
10.1080/10236198.2011.628319
- Cushing, J.M.. "Preface". Journal of Biological Dynamics 6 SUPPL.2 (2012): 1-2. http://www.scopus.com/inward/record.url?eid=2-s2.0-84867241067&partnerID=MN8TOARS.
10.1080/17513758.2012.724192
- Cushing, J.M.; Hudson, J.T.. "Evolutionary dynamics and strong Allee effects". Journal of Biological Dynamics 6 2 (2012):
941-958. http://www.scopus.com/inward/record.url?eid=2-s2.0-84868305139&partnerID=MN8TOARS.
10.1080/17513758.2012.697196
- Allen, L.J.S.; Cushing, J.M.. "Preface". Journal of Biological Dynamics 6 1 (2012): 1-1. http://www.scopus.com/inward/record.url?eid=2-s2.0-84855510485&partnerID=MN8TOARS.
10.1080/17513758.2012.641846
- Cushing, J.M.; Henson, S.M.. "Stable bifurcations in semelparous Leslie models". Journal of Biological Dynamics 6 SUPPL.2
(2012): 80-102. http://www.scopus.com/inward/record.url?eid=2-s2.0-84867242867&partnerID=MN8TOARS.
10.1080/17513758.2012.716085
- Robertson, S.L.; Cushing, J.M.. "A bifurcation analysis of stage-structured density dependent integrodifference equations".
Journal of Mathematical Analysis and Applications 388 1 (2012): 490-499. http://www.scopus.com/inward/record.url?eid=2-s2.0-84455188938&partnerID=MN8TOARS.
10.1016/j.jmaa.2011.09.064
- Cushing, J.M.; Ackleh, A.S.. "A net reproductive number for periodic matrix models". Journal of Biological Dynamics
6 2 (2012): 166-188. http://www.scopus.com/inward/record.url?eid=2-s2.0-84868335926&partnerID=MN8TOARS.
10.1080/17513758.2010.544410
- Cushing, J.M.. "His encouragement of students and young scholars and his willingness and skill at collaborative work are renowned.
Preface.". Journal of biological dynamics 6 Suppl 2 (2012): 1-2. http://www.scopus.com/inward/record.url?eid=2-s2.0-84883190528&partnerID=MN8TOARS.
- Rael, R.C.; Vincent, T.L.; Cushing, J.M.. "Competitive outcomes changed by evolution". Journal of Biological Dynamics
5 3 (2011): 227-252. http://www.scopus.com/inward/record.url?eid=2-s2.0-79957486844&partnerID=MN8TOARS.
10.1080/17513758.2010.487160
- Henson, S.M.; Cushing, J.M.; Hayward, J.L.. "Socially induced ovulation synchrony and its effect on seabird population dynamics".
Journal of Biological Dynamics 5 5 (2011): 495-516. http://www.scopus.com/inward/record.url?eid=2-s2.0-84860389404&partnerID=MN8TOARS.
10.1080/17513758.2010.529168
- Robertson, S.L.; Cushing, J.M.. "Spatial segregation in stage-structured populations with an application to Tribolium". Journal
of Biological Dynamics 5 5 (2011): 398-409. http://www.scopus.com/inward/record.url?eid=2-s2.0-84860390322&partnerID=MN8TOARS.
10.1080/17513758.2010.503283
- Cushing, J.M.. "On the relationship between r and R0 and its role in the bifurcation of stable equilibria of Darwinian
matrix models". Journal of Biological Dynamics 5 3 (2011): 277-297. http://www.scopus.com/inward/record.url?eid=2-s2.0-79957478668&partnerID=MN8TOARS.
10.1080/17513758.2010.491583
- Cohen, Y.; Cushing, J.M.. "Preface". Journal of Biological Dynamics 5 3 (2011): 213-214. http://www.scopus.com/inward/record.url?eid=2-s2.0-79957514881&partnerID=MN8TOARS.
10.1080/17513758.2011.554629
- Li, J.; Cushing, J.; Elaydi, S.. "Preface". Journal of Biological Dynamics 5 5 (2011): 367-367. http://www.scopus.com/inward/record.url?eid=2-s2.0-84860402263&partnerID=MN8TOARS.
10.1080/17513758.2011.603889
- Henson, S.M.; Hayward, J.L.; Cushing, J.M.; Galusha, J.C.. "Socially induced synchronization of every-other-day egg laying
in a seabird colony". Auk 127 3 (2010): 571-580. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955068680&partnerID=MN8TOARS.
10.1525/auk.2010.09202
- Cushing, J.M.. "On the dynamics of a class of Darwinian matrix models". Nonlinear Dynamics and Systems Theory 10 2
(2010): 103-116. http://www.scopus.com/inward/record.url?eid=2-s2.0-77954261790&partnerID=MN8TOARS.
- Cushing, J.M.. "Three stage semelparous Leslie models". Journal of Mathematical Biology 59 1 (2009): 75-104. http://www.scopus.com/inward/record.url?eid=2-s2.0-67349125745&partnerID=MN8TOARS.
10.1007/s00285-008-0208-9
- Rael, R.C.; Costantino, R.F.; Cushing, J.M.; Vincent, T.L.. "Using stage-structured evolutionary game theory to model the
experimentally observed evolution of a genetic polymorphism". Evolutionary Ecology Research 11 2 (2009): 141-151. http://www.scopus.com/inward/record.url?eid=2-s2.0-67650695956&partnerID=MN8TOARS.
- Chitnis, N.; Hyman, J.M.; Cushing, J.M.. "Determining important parameters in the spread of malaria through the sensitivity
analysis of a mathematical model". Bulletin of Mathematical Biology 70 5 (2008): 1272-1296. http://www.scopus.com/inward/record.url?eid=2-s2.0-47349102730&partnerID=MN8TOARS.
10.1007/s11538-008-9299-0
- Arpin, S.L.; Cushing, J.M.. "Modeling frequency-dependent selection with an application to cichlid fish". Mathematical
Biosciences and Engineering 5 4 (2008): 889-903. http://www.scopus.com/inward/record.url?eid=2-s2.0-58849122417&partnerID=MN8TOARS.
10.3934/mbe.2008.5.889
- Henson, S.M.; Galusha, J.G.; Hayward, J.L.; Cushing, J.M.. "Modeling territory attendance and preening behavior in a seabird
colony as functions of environmental conditions". Journal of Biological Dynamics 1 1 (2007): 95-107. http://www.scopus.com/inward/record.url?eid=2-s2.0-58849085883&partnerID=MN8TOARS.
10.1080/17513750601032679
- Cushing, J.M.; Henson, S.M.; Blackburn, C.C.. "Multiple mixed-type attractors in a competition model". Journal of Biological
Dynamics 1 4 (2007): 347-362. http://www.scopus.com/inward/record.url?eid=2-s2.0-61449105814&partnerID=MN8TOARS.
10.1080/17513750701610010
- Cushing, J.M.; Elaydi, S.. "Preface". Journal of Biological Dynamics 1 1 (2007): 1-1. http://www.scopus.com/inward/record.url?eid=2-s2.0-85023993930&partnerID=MN8TOARS.
10.1080/17513750601125705
- Cushing, J.M.; Henson, S.M.; Roeger, L.-I.. "Coexistence of competing juvenile–adult structured populations". Journal of
Biological Dynamics 1 2 (2007): 201-231. http://www.scopus.com/inward/record.url?eid=2-s2.0-79957451758&partnerID=MN8TOARS.
10.1080/17513750701201372
- Henson, S.M.; Dennis, B.; Hayward, J.L.; Cushing, J.M.; Galusha, J.G.. "Predicting the dynamics of animal behaviour in field
populations". Animal Behaviour 74 1 (2007): 103-110. http://www.scopus.com/inward/record.url?eid=2-s2.0-34347269222&partnerID=MN8TOARS.
10.1016/j.anbehav.2006.11.015
- Desharnais, R.A.; Costantino, R.F.; Cushing, J.M.; Henson, S.M.; Dennis, B.; King, A.A.. "Experimental support of the scaling
rule for demographic stochasticity". Ecology Letters 9 5 (2006): 537-547. http://www.scopus.com/inward/record.url?eid=2-s2.0-33645886899&partnerID=MN8TOARS.
10.1111/j.1461-0248.2006.00903.x
- Chitnis, N.; Cushing, J.M.; Hyman, J.M.. "Bifurcation analysis of a mathematical model for malaria transmission". SIAM
Journal on Applied Mathematics 67 1 (2006): 24-45. http://www.scopus.com/inward/record.url?eid=2-s2.0-33847746157&partnerID=MN8TOARS.
10.1137/050638941
- Cushing, J.M.. "A juvenile-adult model with periodic vital rates". Journal of Mathematical Biology 53 4 (2006): 520-539.
http://www.scopus.com/inward/record.url?eid=2-s2.0-33748323207&partnerID=MN8TOARS.
10.1007/s00285-006-0382-6
- Cushing, J.M.. "Nonlinear semelparous Leslie models". Mathematical Biosciences and Engineering 3 1 (2006): 17-36. http://www.scopus.com/inward/record.url?eid=2-s2.0-33846894282&partnerID=MN8TOARS.
- Jang, S.R.-J.; Cushing, J.M.. "Dynamics of hierarchical models in discrete-time". Journal of Difference Equations and Applications
11 2 (2005): 95-115. http://www.scopus.com/inward/record.url?eid=2-s2.0-12344314526&partnerID=MN8TOARS.
10.1080/10236190512331328343
- King, A.A.; Costantino, R.F.; Cushing, J.M.; Henson, S.M.; Desharnais, R.A.; Dennis, B.. "Anatomy of a chaotic attractor:
Subtle model-predicted patterns revealed in population data". Proceedings of the National Academy of Sciences of the United
States of America 101 1 (2004): 408-413. http://www.scopus.com/inward/record.url?eid=2-s2.0-0347719314&partnerID=MN8TOARS.
10.1073/pnas.2237266100
- Cushing, J.M.; Levarge, S.; Chitnis, N.; Henson, S.M.. "Some discrete competition models and the competitive exclusion principle".
Journal of Difference Equations and Applications 10 13-15 (2004): 1139-1151. http://www.scopus.com/inward/record.url?eid=2-s2.0-8744244403&partnerID=MN8TOARS.
10.1080/10236190410001652739
- Edmunds, J.; Cushing, J.M.; Costantino, R.F.; Henson, S.M.; Dennis, B.; Desharnais, R.A.. "Park's Tribolium competition experiments:
A non-equilibrium species coexistence hypothesis". Journal of Animal Ecology 72 5 (2003): 703-712. http://www.scopus.com/inward/record.url?eid=2-s2.0-0042697536&partnerID=MN8TOARS.
10.1046/j.1365-2656.2003.00743.x
- Jang, S.R.-J.; Cushing, J.M.. "A discrete hierarchical model of intra-specific competition". Journal of Mathematical Analysis
and Applications 280 1 (2003): 102-122. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037949110&partnerID=MN8TOARS.
10.1016/S0022-247X(03)00050-7
- Henson, S.M.; King, A.A.; Costantino, R.F.; Cushing, J.M.; Dennis, B.; Desharnais, R.A.. "Explaining and predicting patterns
in stochastic population systems". Proceedings of the Royal Society B: Biological Sciences 270 1524 (2003): 1549-1553.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0042531779&partnerID=MN8TOARS.
10.1098/rspb.2003.2420
- Henson, S.M.; Reilly, J.R.; Robertson, S.L.; Schu, M.C.; Rozier, E.W.D.; Cushing, J.M.. "Predicting irregularities in population
cycles". SIAM Journal on Applied Dynamical Systems 2 2 (2003): 238-253. http://www.scopus.com/inward/record.url?eid=2-s2.0-3042626993&partnerID=MN8TOARS.
10.1137/S1111111102411262
- Cushing, J.M.; Henson, S.M.. "Erratum: A periodically forced Beverton-Holt equation (Journal of Difference Equations and Applications
(2002) 8:12 (1119-1120))". Journal of Difference Equations and Applications 9 6 (2003): 613-613. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037844889&partnerID=MN8TOARS.
10.1080/1023619031000081159
- Cushing, J.M.. "Cycle chains and the LPA model". Journal of Difference Equations and Applications 9 7 (2003): 655-670.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0038181121&partnerID=MN8TOARS.
10.1080/1023619021000042216
- Dennis, B.; Desharnais, R.A.; Cushing, J.M.; Henson, S.M.; Costantino, R.F.. "Can noise induce chaos?". Oikos 102 2
(2003): 329-339. http://www.scopus.com/inward/record.url?eid=2-s2.0-0042259193&partnerID=MN8TOARS.
10.1034/j.1600-0706.2003.12387.x
- Henson, S.M.; Cushing, J.M.. "Geometric transient solutions of autonomous scalar maps". Journal of Difference Equations
and Applications 8 1 (2002): 61-73. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036004706&partnerID=MN8TOARS.
10.1080/10236190211943
- Henson, S.M.; Costantino, R.F.; Desharnais, R.A.; Cushing, J.M.; Dennis, B.. "Basins of attraction: Population dynamics with
two stable 4-cycles". Oikos 98 1 (2002): 17-24. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036342957&partnerID=MN8TOARS.
10.1034/j.1600-0706.2002.980102.x
- Cushing, J.M.; Henson, S.M.. "A periodically forced Beverton-Holt equation". Journal of Difference Equations and Applications
8 12 (2002): 1119-1120. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036894818&partnerID=MN8TOARS.
10.1080/1023619021000053980
- Henson, S.M.; Costantino, R.F.; Cushing, J.M.; Desharnais, R.A.; Dennis, B.; King, A.A.. "Lattice effects observed in chaotic
dynamics of experimental populations". Science 294 5542 (2001): 602-605. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035914070&partnerID=MN8TOARS.
10.1126/science.1063358
- Cushing, J.M.; Henson, S.M.; Desharnais, R.A.; Dennis, B.; Costantino, R.F.; King, A.. "A chaotic attractor in ecology: Theory
and experimental data". Chaos, Solitons and Fractals 12 2 (2001): 219-234. http://www.scopus.com/inward/record.url?eid=2-s2.0-0342592535&partnerID=MN8TOARS.
10.1016/S0960-0779(00)00109-0
- Dennis, B.; Desharnais, R.A.; Cushing, J.M.; Henson, S.M.; Costantino, R.F.. "Estimating chaos and complex dynamics in an
insect population". Ecological Monographs 71 2 (2001): 277-303. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035033270&partnerID=MN8TOARS.
10.1890/0012-9615(2001)071[0277:ECACDI]2.0.CO;2
- Desharnais, R.A.; Costantino, R.F.; Cushing, J.M.; Henson, S.M.; Dennis, B.. "Chaos and population control of insect outbreaks".
Ecology Letters 4 3 (2001): 229-235. http://www.scopus.com/inward/record.url?eid=2-s2.0-0034986613&partnerID=MN8TOARS.
10.1046/j.1461-0248.2001.00223.x
- Henson, S.M.; Costantino, R.F.; Cushing, J.M.; Dennis, B.; Desharnais, R.A.. "Multiple attractors, saddles, and population
dynamics in periodic habitats". Bulletin of Mathematical Biology 61 6 (1999): 1121-1149. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032701814&partnerID=MN8TOARS.
10.1006/bulm.1999.0136
- Agur, S.; Diekmann, O.; Heesterbeek, H.; Kimmel, M.; Milner, F.; Cushing, J.; Gyllenberg, M.; et al. "Epidemiology, cellular
automata, and evolution: Preface". Mathematical Biosciences 156 1-2 (1999): http://www.scopus.com/inward/record.url?eid=2-s2.0-0032895873&partnerID=MN8TOARS.
- Agur, S.; Diekmann, O.; Heesterbeek, H.; Kimmel, M.; Milner, F.; Cushing, J.; Gyllenberg, M.; et al. "Deterministic models
with applications in population dynamics and other fields of biology: Preface". Mathematical Biosciences 157 1-2 (1999):
http://www.scopus.com/inward/record.url?eid=2-s2.0-0032935144&partnerID=MN8TOARS.
- Costantino, R.F.; Cushing, J.M.; Dennis, B.; Desharnais, R.A.; Henson, S.M.. "Resonant population cycles in temporally fluctuating
habitats". Bulletin of Mathematical Biology 60 2 (1998): 247-273. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032029704&partnerID=MN8TOARS.
10.1006/bulm.1997.0017
- Cushing, J.M.; Costantino, R.F.; Dennis, B.; Desharnais, R.A.; Henson, S.M.. "Nonlinear population dynamics: Models, experiments
and data". Journal of Theoretical Biology 194 1 (1998): 1-9. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032494187&partnerID=MN8TOARS.
10.1006/jtbi.1998.0736
- Henson, S.M.; Cushing, J.M.; Costantino, R.F.; Dennis, B.; Desharnais, R.A.. "Phase switching in population cycles". Proceedings
of the Royal Society B: Biological Sciences 265 1411 (1998): 2229-2234. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032558923&partnerID=MN8TOARS.
10.1098/rspb.1998.0564
- Cushing, J.M.; Dennis, B.; Desharnais, R.A.; Costantino, R.F.. "Moving toward an unstable equilibrium: Saddle nodes in population
systems". Journal of Animal Ecology 67 2 (1998): 298-306. http://www.scopus.com/inward/record.url?eid=2-s2.0-0031957691&partnerID=MN8TOARS.
10.1046/j.1365-2656.1998.00194.x
- Costantino, R.F.; Desharnais, R.A.; Cushing, J.M.; Dennis, B.. "Chaotic dynamics in an insect population". Science
275 5298 (1997): 389-391. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030620649&partnerID=MN8TOARS.
10.1126/science.275.5298.389
- Dennis, B.; Desharnais, R.A.; Cushing, J.M.; Costantino, R.F.. "Transitions in population dynamics: Equilibria to periodic
cycles to aperiodic cycles". Journal of Animal Ecology 66 5 (1997): 704-729. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030801712&partnerID=MN8TOARS.
10.2307/5923
- Perry, J.N.; Woiwod, I.P.; Smith, R.N.; Morse, D.; Desharnais, R.A.; Costantino, R.F.; Cushing, J.M.; Dennis, B.. "Estimating
chaos in an insect population". Science 276 5320 (1997): 1881-1882. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030796239&partnerID=MN8TOARS.
10.1126/science.276.5320.1881
- Henson, S.M.; Cushing, J.M.. "The effect of periodic habitat fluctuations on a nonlinear insect population model". Journal
of Mathematical Biology 36 2 (1997): 201-226. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001737892&partnerID=MN8TOARS.
10.1007/s002850050098
- Henson, S.M.; Gushing, J.M.. "Hierarchical models of intra-specific competition: Scramble versus contest". Journal of Mathematical
Biology 34 7 (1996): 755-772. http://www.scopus.com/inward/record.url?eid=2-s2.0-0000348814&partnerID=MN8TOARS.
10.1007/BF00161518
- Cushing, J.M.; Dennis, B.; Desharnais, R.A.; Costantino, R.F.. "An interdisciplinary approach to understanding nonlinear ecological
dynamics". Ecological Modelling 92 2-3 (1996): 111-119. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030302697&partnerID=MN8TOARS.
10.1016/0304-3800(95)00170-0
- Costantino, R.F.; Cushing, J.M.; Dennis, B.; Desharnais, R.A.. "Experimentally induced transitions in the dynamic behaviour
of insect populations". Nature 375 6528 (1995): 227-230. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028974630&partnerID=MN8TOARS.
10.1038/375227a0
- Dennis, B.; Desharnais, R.A.; Cushing, J.M.; Costantino, R.F.. "Nonlinear demographic dynamics: Mathematical models, statistical
methods, and biological experiments". Ecological Monographs 65 3 (1995): 261-281. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028976114&partnerID=MN8TOARS.
- Crowe, K.M.; Cushing, J.M.. "Optimal instar parasitization in a stage structured host-parasitoid model". Natural Resource
Modeling 8 2 (1994): 119-138. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028683950&partnerID=MN8TOARS.
10.1111/j.1939-7445.1994.tb00177.x
- Cushing, J.M.. "Oscillations in age-structured population models with an Allee effect". Journal of Computational and Applied
Mathematics 52 1-3 (1994): 71-80. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028683827&partnerID=MN8TOARS.
10.1016/0377-0427(94)90349-2
- Cushing, J.M.; Zhou Yicang. "The net reproductive value and stability in matrix population models". Natural Resource Modeling
8 4 (1994): 297-333. http://www.scopus.com/inward/record.url?eid=2-s2.0-0028683292&partnerID=MN8TOARS.
10.1111/j.1939-7445.1994.tb00188.x
- Cushing, J.M.. "The dynamics of hierarchical age-structured populations". Journal of Mathematical Biology 32 7 (1994):
705-729. http://www.scopus.com/inward/record.url?eid=2-s2.0-0004421042&partnerID=MN8TOARS.
10.1007/BF00163023
- Cushing, J.M.; Li, J.. "Intra-specific competition and density dependent juvenile growth". Bulletin of Mathematical Biology
54 4 (1992): 503-519. http://www.scopus.com/inward/record.url?eid=2-s2.0-0043117674&partnerID=MN8TOARS.
10.1007/BF02459632
- Cushing, J.M.. "A discrete model for competing stage-structured species". Theoretical Population Biology 41 3 (1992):
372-387. http://www.scopus.com/inward/record.url?eid=2-s2.0-0027042773&partnerID=MN8TOARS.
10.1016/0040-5809(92)90035-R
- Cushing, J.M.. "A size-structured model for cannibalism". Theoretical Population Biology 42 3 (1992): 347-361. http://www.scopus.com/inward/record.url?eid=2-s2.0-0027011809&partnerID=MN8TOARS.
10.1016/0040-5809(92)90020-T
- Cushing, J.M.. "A simple model of cannibalism". Mathematical Biosciences 107 1 (1991): 47-71. http://www.scopus.com/inward/record.url?eid=2-s2.0-0025923960&partnerID=MN8TOARS.
10.1016/0025-5564(91)90071-P
- Cushing, J.M.; Li, J.. "Juvenile versus adult competition". Journal of Mathematical Biology 29 5 (1991): 457-473. http://www.scopus.com/inward/record.url?eid=2-s2.0-0013587247&partnerID=MN8TOARS.
10.1007/BF00160472
- Cushing, J.M.. "Some competition models for size-structured populations". Rocky Mountain Journal of Mathematics 20
4 (1990): 879-897. http://www.scopus.com/inward/record.url?eid=2-s2.0-84881014420&partnerID=MN8TOARS.
10.1216/rmjm/1181073049
- Cushing, J.M.; Li, J.. "On Ebenman's model for the dynamics of a population with competing juveniles and adults". Bulletin
of Mathematical Biology 51 6 (1989): 687-713. http://www.scopus.com/inward/record.url?eid=2-s2.0-0024419279&partnerID=MN8TOARS.
10.1007/BF02459656
- Cushing, J.M.. "Equilibria in systems of interacting structured populations". Journal of Mathematical Biology 24 6
(1987): 627-649. http://www.scopus.com/inward/record.url?eid=2-s2.0-0023098864&partnerID=MN8TOARS.
10.1007/BF00275507
- Cushing, J.M.. "Periodic Lotka-Volterra competition equations". Journal of Mathematical Biology 24 4 (1986): 381-403.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0022885160&partnerID=MN8TOARS.
10.1007/BF01236888
- Cushing, J.M.. "Oscillatory population growth in periodic environments". Theoretical Population Biology 30 3 (1986):
289-308. http://www.scopus.com/inward/record.url?eid=2-s2.0-38249039857&partnerID=MN8TOARS.
10.1016/0040-5809(86)90038-9
- Cushing, J.M.. "Periodic McKendrick equations for age-structered population growth". Computers and Mathematics with Applications
12 4-5 PART A (1986): 513-526. http://www.scopus.com/inward/record.url?eid=2-s2.0-38249042900&partnerID=MN8TOARS.
10.1016/0898-1221(86)90177-X
- Cushing, J.M.. "Global branches of equilibrium solutions of the McKendrick equations for age-structured population growth".
Computers and Mathematics with Applications 11 1-3 (1985): 175-188. http://www.scopus.com/inward/record.url?eid=2-s2.0-46549104196&partnerID=MN8TOARS.
10.1016/0898-1221(85)90145-2
- Cushing, J.M.. "Equilibria in structured populations". Journal of Mathematical Biology 23 1 (1985): 15-39. http://www.scopus.com/inward/record.url?eid=2-s2.0-0022345912&partnerID=MN8TOARS.
10.1007/BF00276556
- Cushing, J.M.. "Existence and stability of equilibria in age-structured population dynamics". Journal of Mathematical Biology
20 3 (1984): 259-276. http://www.scopus.com/inward/record.url?eid=2-s2.0-0021748358&partnerID=MN8TOARS.
10.1007/BF00275988
- Cushing, J.M.. "Bifurcation of time periodic solutions of the McKendrick equations with applications to population dynamics".
Computers and Mathematics with Applications 9 3 (1983): 459-478. http://www.scopus.com/inward/record.url?eid=2-s2.0-0020299420&partnerID=MN8TOARS.
10.1016/0898-1221(83)90060-3
- Cushing, J.M.; Saleem, M.. "A predator prey model with age structure". Journal of Mathematical Biology 14 2 (1982):
231-250. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019993839&partnerID=MN8TOARS.
10.1007/BF01832847
- Cushing, J.M.. "Model stability and instability in age structured populations". Journal of Theoretical Biology 86 4
(1980): 709-730. http://www.scopus.com/inward/record.url?eid=2-s2.0-0019158397&partnerID=MN8TOARS.
10.1016/0022-5193(80)90307-0
- Cushing, J.M.. "Two species competition in a periodic environment". Journal of Mathematical Biology 10 4 (1980): 385-400.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0019202916&partnerID=MN8TOARS.
10.1007/BF00276097
- Cushing, J.M.. "Stability and instability in predator-prey models with growth rate response delays". Rocky Mountain Journal
of Mathematics 9 1 (1979): 43-50. http://www.scopus.com/inward/record.url?eid=2-s2.0-0346759291&partnerID=MN8TOARS.
10.1216/RMJ-1979-9-1-43
- Cushing, J.M.. "Bifurcation of periodic oscillations due to delays in single species growth models". Journal of Mathematical
Biology 6 2 (1978): 145-161. http://www.scopus.com/inward/record.url?eid=2-s2.0-0018095819&partnerID=MN8TOARS.
10.1007/BF02450785
- Cushing, J.M.. "On the oscillatory nature of solutions of general predator-prey models with time delays". Nonlinear Analysis
1 6 (1977): 583-592. http://www.scopus.com/inward/record.url?eid=2-s2.0-33747109283&partnerID=MN8TOARS.
10.1016/0362-546X(77)90019-0
- Cushing, J.M.. "Time delays in single species growth models". Journal of Mathematical Biology 4 3 (1977): 257-264.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0017740956&partnerID=MN8TOARS.
10.1007/BF00280975
- Cushing, J.M.. "Stable positive periodic solutions of the time-dependent logistic equation under possible hereditary influences".
Journal of Mathematical Analysis and Applications 60 3 (1977): 747-754. http://www.scopus.com/inward/record.url?eid=2-s2.0-0001426451&partnerID=MN8TOARS.
10.1016/0022-247X(77)90014-2
- Cushing, J.M.. "PERIODIC TIME-DEPENDENT PREDATOR-PREY SYSTEMS.". SIAM Journal on Applied Mathematics 32 1 (1977): 82-95.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0017431525&partnerID=MN8TOARS.
10.1137/0132006
- Cushing, J.M.. "Stable limit cycles of time dependent multispecies interactions". Mathematical Biosciences 31 3-4 (1976):
259-273. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017141374&partnerID=MN8TOARS.
10.1016/0025-5564(76)90084-5
- Cushing, J.M.. "FORCED ASYMPTOTICALLY PERIODIC SOLUTIONS OF PREDATOR-PREY SYSTEMS WITH OR WITHOUT HEREDITARY EFFECTS.". SIAM
Journal on Applied Mathematics 30 4 (1976): 665-674. http://www.scopus.com/inward/record.url?eid=2-s2.0-0016964193&partnerID=MN8TOARS.
10.1137/0130059
- Cushing, J.M.. "Predator prey interactions with time delays". Journal of Mathematical Biology 3 3-4 (1976): 369-380.
http://www.scopus.com/inward/record.url?eid=2-s2.0-0017109785&partnerID=MN8TOARS.
10.1007/BF00275066
- Cushing, J.M.. "Bounded solutions of perturbed Volterra integrodifferential systems". Journal of Differential Equations
20 1 (1976): 61-70. http://www.scopus.com/inward/record.url?eid=2-s2.0-49549136410&partnerID=MN8TOARS.
10.1016/0022-0396(76)90096-6
- Cushing, J.M.. "Periodic solutions of two species interaction models with lags". Mathematical Biosciences 31 1-2 (1976):
143-156. http://www.scopus.com/inward/record.url?eid=2-s2.0-0017151799&partnerID=MN8TOARS.
10.1016/0025-5564(76)90046-8
- Bownds, J.M.; Cushing, J.M.. "Some Stability Theorems for Systems of Volterra Integral Equations". Applicable Analysis
5 1 (1975): 65-77. http://www.scopus.com/inward/record.url?eid=2-s2.0-0016664822&partnerID=MN8TOARS.
10.1080/00036817508839105
- Bownds, J.M.; Cushing, J.M.. "On preserving stability of Volterra integral equations under a general class of perturbations".
Mathematical Systems Theory 9 2 (1975): 117-131. http://www.scopus.com/inward/record.url?eid=2-s2.0-33644619213&partnerID=MN8TOARS.
10.1007/BF01704015
- Cushing, J.M.. "Extremal tests for scalar functions of several real variables at degenerate critical points". Aequationes
Mathematicae 13 1-2 (1975): 89-96. http://www.scopus.com/inward/record.url?eid=2-s2.0-34250400187&partnerID=MN8TOARS.
10.1007/BF01834120
- Cushing, J.M.. "Stability of perturbed Volterra integral equations". Journal of Mathematical Analysis and Applications
50 2 (1975): 325-340. http://www.scopus.com/inward/record.url?eid=2-s2.0-0016509216&partnerID=MN8TOARS.
10.1016/0022-247X(75)90026-8
- Cushing, J.M.. "Extremal tests for scalar functions of several real variables at degenerate critical points". Aequationes
Mathematicae 12 1 (1975): 109-110. http://www.scopus.com/inward/record.url?eid=2-s2.0-34250394867&partnerID=MN8TOARS.
10.1007/BF01834045
- Bownds, J.M.; Cushing, J.M.. "On the behavior of solutions of predator-prey equations with hereditary terms". Mathematical
Biosciences 26 1-2 (1975): 41-54. http://www.scopus.com/inward/record.url?eid=2-s2.0-0016825584&partnerID=MN8TOARS.
10.1016/0025-5564(75)90093-0
- Bownds, J.M.; Cushing, J.M.. "On strong stability for linear integral equations". Mathematical Systems Theory 7 3 (1973):
193-200. http://www.scopus.com/inward/record.url?eid=2-s2.0-34250432396&partnerID=MN8TOARS.
10.1007/BF01795939
- Cushing, J.M.. "Strong stability of perturbed systems of Volterra integral equations". Mathematical Systems Theory
7 4 (1973): 360-366. http://www.scopus.com/inward/record.url?eid=2-s2.0-34250429625&partnerID=MN8TOARS.
10.1007/BF01890612
- Cushing, J.M.. "Nonlinear Steklov problems on nonsymmetric domains". Journal of Mathematical Analysis and Applications
43 3 (1973): 743-753. http://www.scopus.com/inward/record.url?eid=2-s2.0-49549166580&partnerID=MN8TOARS.
10.1016/0022-247X(73)90289-8
- Bownds, J.M.; Cushing, J.M.. "A representation formula for linear volterra integral equations". Bulletin of the American
Mathematical Society 79 3 (1973): 532-536. http://www.scopus.com/inward/record.url?eid=2-s2.0-84887771484&partnerID=MN8TOARS.
10.1090/S0002-9904-1973-13189-1
- Cushing, J.M.. "Nonlinear Steklov problems on the unit circle". Journal of Mathematical Analysis and Applications 38
3 (1972): 766-783. http://www.scopus.com/inward/record.url?eid=2-s2.0-49649144454&partnerID=MN8TOARS.
10.1016/0022-247X(72)90082-0
- Cushing, J.M.. "Nonlinear Steklov problems on the unit circle. II (and a hydrodynamical application)". Journal of Mathematical
Analysis and Applications 39 2 (1972): 267-278. http://www.scopus.com/inward/record.url?eid=2-s2.0-0015382454&partnerID=MN8TOARS.
10.1016/0022-247X(72)90199-0
- Cushing, J.M.; Dunninger, D.R.. "Uniqueness theorems under nonlinear boundary conditions for some quasi-linear elliptic equations".
Journal of Mathematical Analysis and Applications 34 1 (1971): 114-127. http://www.scopus.com/inward/record.url?eid=2-s2.0-49649146825&partnerID=MN8TOARS.
10.1016/0022-247X(71)90162-4
- Cushing, J.M.. "A uniqueness criterion for harmonic functions under nonlinear boundary conditions". Journal of Mathematical
Analysis and Applications 33 2 (1971): 443-448. http://www.scopus.com/inward/record.url?eid=2-s2.0-49649148867&partnerID=MN8TOARS.
10.1016/0022-247X(71)90069-2
- Cushing, J.M.. "Some existence theorems for nonlinear eigenvalue problems associated with elliptic equations". Archive
for Rational Mechanics and Analysis 42 1 (1971): 63-76. http://www.scopus.com/inward/record.url?eid=2-s2.0-34250456323&partnerID=MN8TOARS.
10.1007/BF00282318
- Cushing, J.M.. "Local uniqueness for harmonic functions under nonlinear boundary conditions". Journal of Differential Equations
8 3 (1970): 512-522. http://www.scopus.com/inward/record.url?eid=2-s2.0-49849114984&partnerID=MN8TOARS.
10.1016/0022-0396(70)90023-9
- Cushing, J.M.. "Uniqueness and comparison of harmonic functions under nonlinear boundary conditions". Journal of Mathematical
Analysis and Applications 28 3 (1969): 581-589. http://www.scopus.com/inward/record.url?eid=2-s2.0-49849123949&partnerID=MN8TOARS.
10.1016/0022-247X(69)90010-9
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