Effect of antibodies on pathogen dynamics with delays and two routes of infection
Source abstract
Abstract
We study the global stability of pathogen dynamics models with saturated pathogen-susceptible and infected-susceptible incidence. The models incorporate antibody immune response and three types of discrete or distributed time delays. We first show that the solutions of the model are nonnegative and ultimately bounded. We determine two threshold parameters, the basic reproduction number and antibody response activation number. We establish the existence and stability of the steady states. We study the global stability analysis of models using Lyapunov method. The numerical simulations have shown that antibodies can reduce the pathogen progression.
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Research context
OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · Evolution and Genetic Dynamics · Mathematical Biology Tumor Growth
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
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 21421, Saudi Arabia
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