Global Stability of an HIV Dynamical Model with Crowley-Martin Functional Response

Authors

  • Vahid Roomi Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
  • Hojjat Afshari Department of Mathematics, Faculty of Sciences, University of Bonab, Bonab, Iran
  • Tohid Kasbi Gharahasanlou Department of Mathematics and Statistics, Imam Hossein Comperhensive University, Tehran, Iran Corresponding Author

Keywords:

Viral infection, Global stability, Crowley-Martin, Lyapunov function

Abstract

Mathematical modeling is an important method to study and research for the dynamic of viral infection in mathematical biology. The aim of this article is to study the global dynamic of HIV virus infection model with Crowley-Martin functional response and give the results by using Lyapunov's second method and LaSalle's invariance principle. We derive the basic reproduction number \(R_0\) and prove the global stability of rest points of system when \(R_0 \leq 1\), \(R_0>1\), respectively.

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Published

2023-02-08

Issue

1 (2023) No. 1

Section

Articles

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