STABILITY ANALYSIS OF A NOVEL ODE MODEL FOR HIV INFECTION

Year 2021, Volume: 3 Issue: 1, 30 - 51, 29.04.2021

Hoang Ngo , Hung Dang Nguyen Mehmet Dik

https://doi.org/10.47087/mjm.911431

Abstract

In this paper, we propose and investigate the stability of a novel
3-compartment ordinary differential equation (ODE) model of HIV infection
of CD4+ T-cells with a mass action term. Similar to various endemic models,
the dynamics within the model is fully determined by the basic reproduction
term R0. If R0 < 1, the disease-free (zero) equilibrium will be asymptotically
stable. On the other hand, if R0 > 1, there exists a positive equilibrium that
is globally/orbitally asymptotically stable under certain conditions within the
interior of a predefined region. Finally, numerical simulations are conducted to
illustrate and verify the results.

Keywords

HIV , globally asymptotical stability , periodic solution

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