Stability of latent pathogen infection model with CTL immune response and saturated cellular infection
Source abstract
Abstract
We propose a pathogen dynamics model with CTL immune response and both pathogenic and cellular infections. Both actively infected cells and latently infected cells are incorporated into the model. The infected-susceptible and pathogen-susceptible infection rates are given by saturated incidence. Three distributed time delays are considered. The existence and global stability of the equilibria are determined by two threshold parameters, the basic reproduction number and the CTL response activation number. The global stability of the three equilibria are proven using Lyapunov method. We solve the system of delay differential equations numerically to support the theoretical results.
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Research context
OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · Evolution and Genetic Dynamics · Fractional Differential Equations Solutions
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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, Jamoum University College, Umm Al Qura University 2 , Makkah 21599, Saudi Arabia
Department of Mathematics, Faculty of Science, Sohag University 3 , Sohag 82524, Egypt
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41. Introduction