Global analysis of the dynamics of a mathematical model to intermittent HIV treatment

Autor(es)

de Carvalho, Tiago ^[1] ; Cristiano, Rony ^[2] ; Goncalves, Luiz Fernando ^[3] ; Tonon, Durval Jose ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Av Bandeirantes 3900, BR-14040901 Ribeirao Preto, SP - Brazil

^[2] Univ Fed Goias, Inst Matemat & Estatist, Campus Samambaia, BR-74690900 Goiania, Go - Brazil

^[3] Univ Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: NONLINEAR DYNAMICS; v. 101, n. 1 JUL 2020.
• Citações Web of Science: 0

Resumo

The aim of this paper is to study the qualitative dynamics of a piecewise smooth system modeling the intermittent treatment of the human immunodeficiency virus. Typical singularities and closed orbits are observable, and we quantitatively explore the dynamics around those singularities and closed orbits. Moreover, we conclude that this protocol always will be successful since the trajectory passing through any initial condition converges to one of these distinguished orbits. Our formal mathematical results corroborate the real-world observation, where the virus is not eliminated, but the number of infected cells is controlled around a specific value. (AU)

• Processo FAPESP: 17/00883-0 - Campos vetoriais suaves por partes com aplicações em problemas biológicos
• Beneficiário: Tiago de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 19/10450-0 - Campos vetoriais suaves por partes: Closing Lemmas, shifts e dinâmicas do tipo ferradura.
• Beneficiário: Tiago de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Regular