Modelo não-linear para resposta imunológica

• Ano de defesa: 2017
• Autor(a) principal: Santos, Demitry Messias
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Alagoas; Brasil; Programa de Pós-Graduação em Física da Matéria Condensada; UFAL
• Palavras-chave em Português: Equações diferenciais com retardo; Modelagem matemática; Resposta imune; Delay differential equations; Immune response; Mathematical modeling; CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA
• Link de acesso: http://www.repositorio.ufal.br/handle/riufal/1806

In this work, we propose a delayed nonlinear model for the dynamics of a viral infection and the immune response, based on the recent literature on the subject. We seek to have an idea about the virulence of the infection and how the immune system will act due to the non-instantaneous response of the infected individual, taking into account the evolution factor of the infectious agents and their subsequent time of perception. Using numerical routines adapted for the resolution of the model, the focus remained on its structural aspects, with analysis of the equilibrium points, bifurcations and chaotic dynamic regime.