Global properties of latent virus dynamics with B-cell impairment
Source abstract
Abstract
In this paper we construct virus dynamics models with impairment of B-cell functions. Two different forms of the incidence rate have been considered, bilinear and general. The latently infected cells have been incorporated into the models. The well-posedness of the models is justified. The models admits two equilibria which are determined by the basic reproduction number R0. The global stability of each equilibrium is proven by utilizing Lyapunov function and LaSalle’s invariance principle. 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 · 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, Faculty of Science, Taibah University 2 , P.O. Box 344, Medina 42353, Saudi Arabia
Department of Mathematics, Faculty of Science, Sohag University 3 , Sohag 82524, Egypt
Funding
DSR, King Abdulaziz University
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