Abstract
Under the assumption that the incidence rate of the infection and the removal rate of the infective by cytotoxic T lymphocytes are nonlinear, we study the global dynamics of a HIV infection model with the response of the immune system using characteristic equation, the Fluctuation lemma, and the direct Lyapunov method. The existence of a threshold parameter, i.e., the basic reproduction number or basic reproductive ratio is established and the global stability of the equilibria is discussed.
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Yuan, Z., Ma, Z. & Tang, X. Global stability of a delayed HIV infection model with nonlinear incidence rate. Nonlinear Dyn 68, 207–214 (2012). https://doi.org/10.1007/s11071-011-0219-8
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DOI: https://doi.org/10.1007/s11071-011-0219-8