Mathematical model of an antiretroviral therapy to HIV via Filippov theory

Autor(es)

Vicentin, Daniel Chieregato ^[1] ; Mancera, Paulo F. A. ^[2] ; Carvalho, Tiago ^[3] ; Goncalves, Luiz Fernando ^[4]

Afiliação do(s) autor(es)

^[1] UNESP, Programa Posgrad Biometria, BR-18618689 Botucatu, SP - Brazil

^[2] UNESP, IBB, BR-18618689 Botucatu, SP - Brazil

^[3] Univ Sao Paulo, FFCLRP, BR-14040901 Ribeirao Preto, SP - Brazil

^[4] UNESP, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Applied Mathematics and Computation; v. 387, DEC 15 2020.
• Citações Web of Science: 0

Resumo

This work aims to study some qualitative features of piecewise smooth systems applied to the dynamics of the Human Immunodeficiency Virus (HIV). The application of sliding mode control and strategies of structured treatment interruptions in HIV is a new and challenging research area, which deserves attention and improvement. We investigate the dynamic behavior of the discontinuous mathematical model and we observe the occurrence of typical singularities. (C) 2020 Elsevier Inc. All rights reserved. (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