Discrete-Time System of an Intracellular Delayed HIV Model with CTL Immune Response

Abstract

In [Math. Comput. Sci. 12 (2018), no. 2, 111--127], a delayed model describing the dynamics of the Human Immunodeficiency Virus (HIV) with Cytotoxic T Lymphocytes (CTL) immune response is investigated by Allali, Harroudi and Torres. Here, we propose a discrete-time version of that model, which includes four nonlinear difference equations describing the evolution of uninfected, infected, free HIV viruses, and CTL immune response cells and includes intracellular delay. Using suitable Lyapunov functions, we prove the global stability of the disease free equilibrium point and of the two endemic equilibrium points. We finalize by making some simulations and showing, numerically, the consistence of the obtained theoretical results.

arXiv commentThis is a preprint whose final form is published by Springer Nature Switzerland AG in the book 'Dynamic Control and Optimization'

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Cited by in corpus (1)

• Stability analysis and optimal control of the logistic equation