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Research Article | Open Access

Global stability of multi-group SEIQR epidemic models with stochastic perturbation in computer network

Ramziya Rifhat, Kai Wang, Lei Wang, Ting Zeng, Zhidong Teng( )
College of Medical Engineering and Technology, Xinjiang Medical University, Urumqi 830017, China
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Abstract

In this paper, a class of multi-group SEIQR models with random perturbation in computer network is investigated. The existence and uniqueness of global positive solution with any positive initial value are obtained. The sufficient conditions on the asymptotic behavior of solutions around the disease-free equilibrium and endemic equilibrium of the corresponding deterministic model are established. Furthermore, the existence and uniqueness of stationary distribution are also obtained. Lastly, the analytical results are illustrated by the numerical simulations.

Keywords

computer networkmulti-group stochastical SEIQR epidemic modelasymptotic behaviorlyapunov functionnumerical simulation

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Electronic Research Archive
Volume 31 Issue 7,
July 2023
Pages 4155-4184
DOI: 10.3934/era.2023212

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Cite this article:
Rifhat R, Wang K, Wang L, et al. Global stability of multi-group SEIQR epidemic models with stochastic perturbation in computer network. Electronic Research Archive, 2023, 31(7): 4155-4184. https://doi.org/10.3934/era.2023212

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Received: 06 February 2023
Revised: 03 April 2023
Accepted: 24 April 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)