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.
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Ngo et al. (2021) studied this question.
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