TY - JOUR
T1 - Analysis of a Susceptible-Exposed-Infected Epidemic Model with Random Perturbation and Varying Population Size
AU - Chen , Lihong
AU - Wei , Fengying
JO - Annals of Applied Mathematics
VL - 2
SP - 130
EP - 138
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20600.html
KW - varying population size, random perturbation, SEI epidemic
model, stationary distribution.
AB - <p style="text-align: justify;">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.</p>