Mathematical model of an antiretroviral therapy to HIV via Filippov theory

Author(s)

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

Affiliation

^[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

• Document type: Journal article
• Source: Applied Mathematics and Computation; v. 387, DEC 15 2020.
• Web of Science Citations: 0

Abstract

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)

• FAPESP's process: 17/00883-0 - Piecewise smooth vector fields with applications in biology
• Grantee: Tiago de Carvalho
• Support Opportunities: Regular Research Grants