Stability of discrete-time delayed pathogen infection models with latently infected cells
Source abstract
Abstract
This paper studies the global stability of a class of discrete-time delayed pathogen infection models with both latently infected cells and actively infected cells. In the second model, the production and clearance rates of the cells and pathogens are given by general functions. Three discrete time delays are considered. The continuous-time models are discretized by using nonstandard finite difference scheme. The basic and global properties of the models are established. The global stability analysis of the equilibria is performed using Lyapunov method. The theoretical results are illustrated by numerical simulations.
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Research context
OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · Evolution and Genetic Dynamics · Mathematical Biology Tumor Growth
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Affiliations
Department of Mathematics, Faculty of Science, King Abdulaziz University 1 , P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, Faculty of Science, Taif University 2 , Taif, Saudi Arabia
Funding
DSR
References (51)
Show source-provided references
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