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Jorge Duarte is Coordinating Professor with Aggregation (Habilitation) at the Department of Mathematics, Instituto Superior de Engenharia de Lisboa, Lisbon (Portugal). ---------- Jorge Duarte has developed and maintained an independent research programme in Nonlinear Dynamical Systems and Differential Equations / Numerical and analytical methods applied to Biology & Medicine. ---------- Working in a truly interdisciplinary context, he is a Member of the Center for Mathematical Analysis, Geometry and Dynamic Systems (Department of Mathematics of Instituto Superior Técnico, University of Lisbon) and Member of the European Society of Mathematical and Theoretical Biology, maintaining a solid collaboration with colleagues researchers from different subject areas in different international institutions.
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Identificação

Identificação pessoal

Nome completo
Jorge das Neves Duarte
Género
Masculino

Nomes de citação

  • Duarte, Jorge
  • Jorge Duarte

Identificadores de autor

Ciência ID
BC1D-1E83-E2B2
ORCID iD
0000-0003-2641-3199
Researcher Id
G-7261-2011
Scopus Author Id
35310049800

Endereços de correio eletrónico

  • jorge.duarte@isel.pt (Profissional)

Domínios de atuação

  • Ciências Exatas - Matemática - Matemática Aplicada

Idiomas

Idioma Conversação Leitura Escrita Compreensão Peer-review
Português (Idioma materno)
Inglês Utilizador proficiente (C2) Utilizador proficiente (C2) Utilizador proficiente (C2) Utilizador proficiente (C2) Utilizador proficiente (C2)
Formação
Grau Classificação
2020/05/13 - 2020/05/14
Concluído
 Matemática (Título de Agregado)
Especialização em Matemática
Universidade de Aveiro, Portugal
"Dynamical Complexity in Biological Systems (Lesson, part of the Habilitation Examination process), University of Aveiro (UA), Portugal " (TESE/DISSERTAÇÃO)
 Approvado por Unanimididade
2001/09/01 - 2006/07/05
Concluído
 Matemática (Doutoramento)
Especialização em Dynamical Systems
Universidade de Évora, Portugal
"Chaotic Behaviour in Physiological Systems" (TESE/DISSERTAÇÃO)
 Aprovado com Distinção e Louvor
1998/09/01 - 2001/07/27
Concluído
 Matemática Aplicada (Mestrado)
Especialização em Dynamical Systems
Universidade de Lisboa Instituto Superior Técnico, Portugal
"Harmonic Solutions and Chaos in the Fitzhugh-Nagumo System Under a Periodic Stimulus" (TESE/DISSERTAÇÃO)
 Approved
1993/09/01 - 1998/06/16
Concluído
 Matemática (Licenciatura)
Especialização em Matemática
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
 Bom
Percurso profissional

Docência no Ensino Superior

Categoria Profissional
Instituição de acolhimento 		Empregador
2021/02/01 - Atual Professor Coordenador (Docente Ensino Superior Politécnico) Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
2003/11/24 - 2021/01/31 Professor Adjunto (Docente Ensino Superior Politécnico) Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
2000/09/01 - 2003/11/23 Assistente (Docente Ensino Superior Politécnico) Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa, Portugal
1999/09/01 - 2000/10/31 Assistente (Docente Ensino Superior Politécnico) Instituto Politécnico de Leiria Escola Superior de Educação e Ciências Sociais, Portugal
Produções

Publicações

Artigo em conferência
  1. Januário, C.; Grácio, C.; Mendes, D.A.; Duarte, J.. "Isentropic dynamics and control in an economic model for capital Accumulation". 2011.
    10.1007/978-3-642-14788-3_32
Artigo em revista
  1. "Homotopy analysis of explicit solutions in a chronic hepatitis C virus model". Applied Mathematical Sciences 15 1 (2021): 15-32. http://dx.doi.org/10.12988/ams.2021.914241.
    10.12988/ams.2021.914241
  2. Jorge Duarte; Cristina Januário; Nuno Martins; Svitlana Rogovchenko; Yuriy Rogovchenko. "Chaos analysis and explicit series solutions to the seasonally forced SIR epidemic model". Journal of Mathematical Biology (2019): https://doi.org/10.1007/s00285-019-01342-7.
    10.1007/s00285-019-01342-7
  3. Jalil Rashidinia; Mehri Sajjadian; Jorge Duarte; Cristina Januário; Nuno Martins. "On the Dynamical Complexity of a Seasonally Forced Discrete SIR Epidemic Model with a Constant Vaccination Strategy". Complexity (2018): https://doi.org/10.1155/2018/7191487.
    10.1155/2018/7191487
  4. Jorge Duarte; Cristina Januário; Nuno Martins; C. Correia Ramos; Carla Rodrigues; Josep Sardanyés. "Optimal homotopy analysis of a chaotic HIV-1 model incorporating AIDS-related cancer cells". Numerical Algorithms (2018): https://doi.org/10.1007/s11075-017-0314-0.
    10.1007/s11075-017-0314-0
  5. Duarte, J.; Januário, C.; Martins, N.. "A chaotic bursting-spiking transition in a pancreatic beta-cells system: Observation of an interior glucose-induced crisis". Mathematical Biosciences and Engineering 14 4 (2017): 821-842. http://www.scopus.com/inward/record.url?eid=2-s2.0-85018718896&partnerID=MN8TOARS.
    10.3934/mbe.2017045
  6. Duarte, J.; Januario, C.; Martins, N.. "Analytical solutions of an economic model by the homotopy analysis Method". Applied Mathematical Sciences 10 49 (2016): 2483-2490. http://www.scopus.com/inward/record.url?eid=2-s2.0-85000922967&partnerID=MN8TOARS.
    10.12988/ams.2016.66188
  7. Duarte, J.; Rodrigues, C.; Januário, C.; Martins, N.; Sardanyés, J.. "How Complex, Probable, and Predictable is Genetically Driven Red Queen Chaos?". Acta Biotheoretica 63 4 (2015): 341-361. http://www.scopus.com/inward/record.url?eid=2-s2.0-84945480253&partnerID=MN8TOARS.
    10.1007/s10441-015-9254-z
  8. Sardanyés, J.; Rodrigues, C.; Januário, C.; Martins, N.; Gil-Gómez, G.; Duarte, J.. "Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach". Applied Mathematics and Computation 252 (2015): 484-495. http://www.scopus.com/inward/record.url?eid=2-s2.0-84920130330&partnerID=MN8TOARS.
    10.1016/j.amc.2014.12.005
  9. Duarte, J.; Januário, C.; Martins, N.. "On the analytical solutions of the Hindmarsh–Rose neuronal model". Nonlinear Dynamics 82 3 (2015): 1221-1231. http://www.scopus.com/inward/record.url?eid=2-s2.0-84944280520&partnerID=MN8TOARS.
    10.1007/s11071-015-2228-5
  10. Patrício, P.; Leal, C.R.; Duarte, J.; Januário, C.. "Rheology of the cytoskeleton as a fractal network". Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 92 4 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84946762887&partnerID=MN8TOARS.
    10.1103/PhysRevE.92.040702
  11. Duarte, J.; Januário, C.; Martins, N.. "Explicit series solution for a glucose-induced electrical activity model of pancreatic beta-cells". Chaos, Solitons and Fractals 76 (2015): 1-9. http://www.scopus.com/inward/record.url?eid=2-s2.0-84925446138&partnerID=MN8TOARS.
    10.1016/j.chaos.2015.02.029
  12. López, T.G.; Sabuco, J.; Seoane, J.M.; Duarte, J.; Januário, C.; Sanjuán, M.A.F.. "Avoiding healthy cells extinction in a cancer model". Journal of Theoretical Biology 349 (2014): 74-81. http://www.scopus.com/inward/record.url?eid=2-s2.0-84896724046&partnerID=MN8TOARS.
    10.1016/j.jtbi.2014.01.040
  13. Duarte, J.; Januário, C.; Rodrigues, C.; Sardanyés, J.. "Topological complexity and predictability in the dynamics of a tumor growth model with Shilnikov's chaos". International Journal of Bifurcation and Chaos 23 7 (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84882949075&partnerID=MN8TOARS.
    10.1142/S0218127413501241
  14. Zwart, M.P.; Pijlman, G.P.; Sardanyés, J.; Duarte, J.; Januário, C.; Elena, S.F.. "Complex dynamics of defective interfering baculoviruses during serial passage in insect cells". Journal of Biological Physics 39 2 (2013): 327-342. http://www.scopus.com/inward/record.url?eid=2-s2.0-84878690173&partnerID=MN8TOARS.
    10.1007/s10867-013-9317-9
  15. Duarte, J.; Januário, C.; Martins, N.; Sardanyés, J.. "Scaling law in saddle-node bifurcations for one-dimensional maps: A complex variable approach". Nonlinear Dynamics 67 1 (2012): 541-547. http://www.scopus.com/inward/record.url?eid=2-s2.0-82255193982&partnerID=MN8TOARS.
    10.1007/s11071-011-0004-8
  16. Duarte, J.; Janurio, C.; Martins, N.; Sardanys, J.. "On chaos, transient chaos and ghosts in single population models with Allee effects". Nonlinear Analysis: Real World Applications 13 4 (2012): 1647-1661. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856527348&partnerID=MN8TOARS.
    10.1016/j.nonrwa.2011.11.022
  17. Sardanyés, J.; Duarte, J.; Januário, C.; Martins, N.. "Topological entropy of catalytic sets: Hypercycles revisited". Communications in Nonlinear Science and Numerical Simulation 17 2 (2012): 795-803. http://www.scopus.com/inward/record.url?eid=2-s2.0-80052349180&partnerID=MN8TOARS.
    10.1016/j.cnsns.2011.06.020
  18. Duarte, J.; Januário, C.; Martins, N.; Sardanyés, J.. "Quantifying chaos for ecological stoichiometry.". Chaos (Woodbury, N.Y.) 20 3 (2010): http://www.scopus.com/inward/record.url?eid=2-s2.0-79952119101&partnerID=MN8TOARS.
  19. Duarte, J.; Januário, C.; Martins, N.; Sardanyés, J.. "Quantifying chaos for ecological stoichiometry". Chaos 20 3 (2010): http://www.scopus.com/inward/record.url?eid=2-s2.0-78649395273&partnerID=MN8TOARS.
    10.1063/1.3464327
  20. Januário, C.; Grácio, C.; Duarte, J.. "Measuring complexity in a business cycle model of the Kaldor type". Chaos, Solitons and Fractals 42 5 (2009): 2890-2903. http://www.scopus.com/inward/record.url?eid=2-s2.0-67651210700&partnerID=MN8TOARS.
    10.1016/j.chaos.2009.04.030
  21. Duarte, J.; Januário, C.; Martins, N.; Sardanyés, J.. "Chaos and crises in a model for cooperative hunting: A symbolic dynamics approach". Chaos 19 4 (2009): http://www.scopus.com/inward/record.url?eid=2-s2.0-74349098074&partnerID=MN8TOARS.
    10.1063/1.3243924
  22. JanuÁrio, C.; GrÁcio, C.; Mendes, D.A.; Duarte, J.. "Measuring and controlling the chaotic motion of profits". International Journal of Bifurcation and Chaos 19 11 (2009): 3593-3604. http://www.scopus.com/inward/record.url?eid=2-s2.0-77649151871&partnerID=MN8TOARS.
    10.1142/S021812740902502X
  23. Duarte, J.; Januário, C.; Martins, N.. "Topological entropy and the controlled effect of glucose in the electrical activity of pancreatic ß-cells". Physica D: Nonlinear Phenomena 238 21 (2009): 2129-2137. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349236844&partnerID=MN8TOARS.
    10.1016/j.physd.2009.08.010
  24. Duarte, J.; Januário, C.; Martins, N.. "Reciprocal inhibitory coupling: Measure and control of chaos on a biophysically motivated model of bursting". Communications in Nonlinear Science and Numerical Simulation 14 6 (2009): 2734-2746. http://www.scopus.com/inward/record.url?eid=2-s2.0-58349091494&partnerID=MN8TOARS.
    10.1016/j.cnsns.2008.10.020
  25. Duarte, J.; Januário, C.; Martins, N.. "Chaos in ecology: The topological entropy of a tritrophic food chain model". Discrete Dynamics in Nature and Society 2008 (2008): http://www.scopus.com/inward/record.url?eid=2-s2.0-55849111543&partnerID=MN8TOARS.
    10.1155/2008/541683
  26. Duarte, J.; Januário, C.; Martins, N.. "Topological invariants in the study of a chaotic food chain system". Chaos 18 2 (2008): http://www.scopus.com/inward/record.url?eid=2-s2.0-46449094968&partnerID=MN8TOARS.
    10.1063/1.2903843
  27. Duarte, J.; Silva, L.; Sousa Ramos, J.. "Computation of the topological entropy in chaotic biophysical bursting models for excitable cells". Discrete Dynamics in Nature and Society 2006 (2006): http://www.scopus.com/inward/record.url?eid=2-s2.0-33749476002&partnerID=MN8TOARS.
    10.1155/DDNS/2006/60918
  28. Duarte, J.; Silva, L.; Sousa Ramos, J.. "The influence of coupling on chaotic maps modelling bursting cells". Chaos, Solitons and Fractals 28 5 (2006): 1314-1326. http://www.scopus.com/inward/record.url?eid=2-s2.0-29144497064&partnerID=MN8TOARS.
    10.1016/j.chaos.2005.08.188
  29. Duarte, J.; Silva, L.; Sousa Ramos, J.. "Types of bifurcations of FitzHugh-Nagumo maps". Nonlinear Dynamics 44 1-4 (2006): 231-242. http://www.scopus.com/inward/record.url?eid=2-s2.0-33744781794&partnerID=MN8TOARS.
    10.1007/s11071-006-1978-5
  30. Duarte, J.; Ramos, J.S.. "Topological invariants in forced piecewise-linear FitzHugh-Nagumo-like systems". Chaos, Solitons and Fractals 23 5 (2005): 1553-1565. http://www.scopus.com/inward/record.url?eid=2-s2.0-9544223201&partnerID=MN8TOARS.
    10.1016/j.chaos.2004.05.039