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author:

Chen, L. (Chen, L..) [1] | Li, W. (Li, W..) [2] | Zhou, R. (Zhou, R..) [3] | Wei, F. (Wei, F..) [4]

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Abstract:

The innate immunity helps the individuals in the exposed compartment return into the ones in the susceptible compartment when a pathogen or virus invades the local population of having four compartments: the susceptible, the exposed, the infected and the recovered. In this study, we propose a stochastic SEIR model with innate immunity and treatment. Here, Holling type II functional responses are used to describe the saturated effects of the innate immunity and treatment. Then, we obtain the extinction of the exposed and the infected when the basic reproduction number R0 < 1 and the exponential decline rate ν < 0 are valid. Moreover, we conclude that when innate immunity and treatment increase, the time that the exposed and the infected approach zero reduces. We also find that the deterministic SEIR model reaches extinction a bit faster than the stochastic SEIR model. Further, the persistence in the mean and stationary distribution of stochastic SEIR model are obtained under suitable conditions. Finally, the numerical investigations with two methods and a case study of Fuzhou COVID-19 epidemic of 2022 are discussed. © 2025, Wilmington Scientific Publisher. All rights reserved.

Keyword:

COVID-19 extinction and persistence Holling type II functional response innate immunity SEIR epidemic model

Community:

  • [ 1 ] [Chen L.]Jin Shan College, Fujian Agriculture and Forestry University, Fuzhou, 350000, China
  • [ 2 ] [Li W.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350116, China
  • [ 3 ] [Zhou R.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350116, China
  • [ 4 ] [Zhou R.]Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Sichuan, 61173, China
  • [ 5 ] [Wei F.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350116, China
  • [ 6 ] [Wei F.]Center for Applied Mathematics of Fujian Province, Fuzhou University, Fuzhou, 350116, China

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Source :

Journal of Applied Analysis and Computation

ISSN: 2156-907X

Year: 2025

Issue: 4

Volume: 15

Page: 1862-1881

1 . 0 0 0

JCR@2023

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ESI Highly Cited Papers on the List: 0 Unfold All

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30 Days PV: 1

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