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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
de Carvalho, Tiago [1] ; Cristiano, Rony [2] ; Goncalves, Luiz Fernando [3] ; Tonon, Durval Jose [2]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: NONLINEAR DYNAMICS; v. 101, n. 1 JUL 2020.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 17/00883-0 - Piecewise smooth vector fields with applications in biology
Grantee:Tiago de Carvalho
Support Opportunities: Regular Research Grants
FAPESP's process: 19/10450-0 - Piecewise smooth vector fields: Closing Lemmas, shifts and horseshoe dynamics.
Grantee:Tiago de Carvalho
Support Opportunities: Regular Research Grants