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Volume 33, Issue 2
Analysis of a Susceptible-Exposed-Infected Epidemic Model with Random Perturbation and Varying Population Size

Lihong Chen & Fengying Wei

Ann. Appl. Math., 33 (2017), pp. 130-138.

Published online: 2022-06

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  • 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.

  • Keywords

varying population size, random perturbation, SEI epidemic model, stationary distribution.

  • AMS Subject Headings

60H10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-33-130, author = {Chen , Lihong and Wei , Fengying}, title = {Analysis of a Susceptible-Exposed-Infected Epidemic Model with Random Perturbation and Varying Population Size}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {2}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20600.html} }
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 -

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.

Lihong Chen & Fengying Wei. (2022). Analysis of a Susceptible-Exposed-Infected Epidemic Model with Random Perturbation and Varying Population Size. Annals of Applied Mathematics. 33 (2). 130-138. doi:
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