Mathematical model of an antiretroviral therapy to HIV via Filippov theory

Daniel Chieregato Vicentin, Paulo F. A. Mancera, Tiago Carvalho and Luiz Fernando Gonçalves

Applied Mathematics and Computation, 2020, vol. 387, issue C

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.

Keywords: HIV; Piecewise smooth vector fields; Typical singularities; Antiretroviral therapies; Intermittent treatment (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:387:y:2020:i:c:s009630032030148x

DOI: 10.1016/j.amc.2020.125179

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