Analysis of a Susceptible-Exposed-Infected Epidemic Model with Random Perturbation and Varying Population Size
Year: 2017
Author: Lihong Chen, Fengying Wei
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 2 : pp. 130–138
Abstract
In this paper, we study a type of susceptible-exposed-infected (SEI) epidemic model with varying population size and introduce the random perturbation of the constant contact rate into the SEI epidemic model due to the universal existence of fluctuations. Under some moderate conditions, the density of the exposed and the infected individuals exponentially approaches zero almost surely are derived. Furthermore, the stochastic SEI epidemic model admits a stationary distribution around the endemic equilibrium, and the solution is ergodic. Some numerical simulations are carried out to demonstrate the efficiency of the main results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20600
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 2 : pp. 130–138
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: varying population size random perturbation SEI epidemic model stationary distribution.