Ma, Xinsheng; Zhang, Yuhuai; Chen, Yuming Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response. (English) Zbl 1484.92125 J. Biol. Dyn. 15, No. 1, 367-394 (2021). Summary: In this paper, with eclipse stage in consideration, we propose an HIV-1 infection model with a general incidence rate and CTL immune response. We first study the existence and local stability of equilibria, which is characterized by the basic infection reproduction number \(\mathcal{R}_0\) and the basic immunity reproduction number \(\mathcal{R}_1\). The local stability analysis indicates the occurrence of transcritical bifurcations of equilibria. We confirm the bifurcations at the disease-free equilibrium and the infected immune-free equilibrium with transmission rate and the decay rate of CTLs as bifurcation parameters, respectively. Then we apply the approach of Lyapunov functions to establish the global stability of the equilibria, which is determined by the two basic reproduction numbers. These theoretical results are supported with numerical simulations. Moreover, we also identify the high sensitivity parameters by carrying out the sensitivity analysis of the two basic reproduction numbers to the model parameters. Cited in 3 Documents MSC: 92D30 Epidemiology 34D23 Global stability of solutions to ordinary differential equations 34C23 Bifurcation theory for ordinary differential equations Keywords:HIV infection; incidence; Lyapunov function; global stability; bifurcation × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Aavani, P.; Allen, L. J.S., The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection, Appl. Math. Model., 75, 210-222 (2019) · Zbl 1481.92055 [2] Ali, S.; Raina, A. 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