Dynamics of delayed pathogen infection models with pathogenic and cellular infections and immune impairment
Source abstract
Abstract
We study the global dynamics of delayed pathogen infection models with immune impairment. Both pathogen-to-susceptible and infected-to-susceptible transmissions have been considered. Bilinear and saturated incidence rates are considered in the first and second model, respectively. We drive the basic reproduction parameter R0 which determines the global dynamics of models. Using Lyapunov method, we established the global stability of the models’ steady states. The theoretical results are confirmed 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, King Khalid University 2 , P.O. Box 25145, Abha 61466, Saudi Arabia
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