Dynamical Behavior of SEIR-SVS Epidemic Models with Nonlinear Incidence and Vaccination

Overview

Journal Acta Math Appl Sin

Publisher Springer

Date 2022 Apr 18

PMID 35431376

Authors

Xiao-Mei Feng

Li-Li Liu

Feng-Qin Zhang

Affiliations

Soon will be listed here.

Abstract

For some infectious diseases such as mumps, HBV, there is evidence showing that vaccinated individuals always lose their immunity at different rates depending on the inoculation time. In this paper, we propose an age-structured epidemic model using a step function to describe the rate at which vaccinated individuals lose immunity and reduce the age-structured epidemic model to the delay differential model. For the age-structured model, we consider the positivity, boundedness, and compactness of the semiflow and study global stability of equilibria by constructing appropriate Lyapunov functionals. Moreover, for the reduced delay differential equation model, we study the existence of the endemic equilibrium and prove the global stability of equilibria. Finally, some numerical simulations are provided to support our theoretical results and a brief discussion is given.

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