Global dynamics of a multi-stage fractional HIV-infected model with general incidence rate and drug efficacy

Abstract

For several decades researchers have been studying global dynamics of viral infection models to prevent wide outbreak of scattered virus both in population and vivo such as Dengue fever, SARS-COV2, HRSV, and immunodeficiency diseases. In this paper, our main aim is obtaining sufficient conditions for the global stability of equilibria of a Caputo fractional derivative order system with general incidence functional response by using Lyapunov’s method and LaSalle’s invariance principle. We prove the global stability of stationary points by the values of the basic reproduction number (R₀) and we consider this threshold as a strong index for our sensitivity analysis. We confirm theoretical results through numerical simulations.