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Discontinuity, Nonlinearity, and Complexity 10(3) (2021) 435--444 | DOI:10.5890/DNC.2021.09.007

Vinoth Sivakumar , Jayakumar Thippan, Prasantha Bharathi Dhandapani

Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, India

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Abstract

In this paper, we proposed and analyzed time delays HIV pathogenesis model with absorption and saturation incidence. We derived the basic reproductive number $R_{0}$ which is used to show the stability of the disease-free and infected steady states. Further, we studied the effect of the time delay of the infected steady state. In addition, we examined the existence of Hopf bifurcation on infected steady-state and the model exhibits Hopf bifurcation by using delay as a bifurcation parameter. Numerical simulations are provided to illustrate the corresponding theoretical results.

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