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Erschienen in: Journal of Applied Mathematics and Computing 2/2023

27.12.2022 | Original Research

Dynamical behavior of a stochastic SIQS model via isolation with regime-switching

verfasst von: Feng Wang, Zaiming Liu

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 2/2023

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Abstract

A stochastic SIQS model via isolation with regime-switching is studied in this paper. The range of positive solution of the model is presented. Threshold to determine extinction and invariant measure is obtained by a new technique, which can be seen as the sufficient and almost necessary condition. Meantime, a value to judge the existence of stationary distribution is acquired by constructing the suitable hybrid Lyapunov function. Two values are proved to be consistent. Several examples are enumerated to test the theoretical results.

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Metadaten
Titel
Dynamical behavior of a stochastic SIQS model via isolation with regime-switching
verfasst von
Feng Wang
Zaiming Liu
Publikationsdatum
27.12.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 2/2023
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-022-01831-x

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