ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Dynamics of an HIV pathogenesis Model with Absorption and Saturation Incidence

Discontinuity, Nonlinearity, and Complexity 10(1) (2021) 19--29 | DOI:10.5890/DNC.2021.03.002

Vinoth Sivakumar , Jayakumar Thippan, Prasantha Bharathi Dhandapani

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

Abstract

In this paper, the dynamics of an HIV infection model with absorption and saturation incidence are proposed and analyzed. Further, we introduce a time delay to the model, which describes a time between infected cells and excretion of the viral particles. This model is used to explain existence, characteristic equations, and stability of infected and disease free steady states. Numerical simulations are provided to illustrate the theoretical results.

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