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

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....

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Detalles Bibliográficos
Autores principales: Wang, Feng, Liu, Zaiming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Original Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9793371/
https://www.ncbi.nlm.nih.gov/pubmed/36590452
http://dx.doi.org/10.1007/s12190-022-01831-x
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author Wang, Feng
Liu, Zaiming
author_facet Wang, Feng
Liu, Zaiming
author_sort Wang, Feng
collection PubMed
description 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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spelling pubmed-97933712022-12-27 Dynamical behavior of a stochastic SIQS model via isolation with regime-switching Wang, Feng Liu, Zaiming J Appl Math Comput Original Research 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. Springer Berlin Heidelberg 2022-12-27 2023 /pmc/articles/PMC9793371/ /pubmed/36590452 http://dx.doi.org/10.1007/s12190-022-01831-x Text en © The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics 2022, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Research
Wang, Feng
Liu, Zaiming
Dynamical behavior of a stochastic SIQS model via isolation with regime-switching
title Dynamical behavior of a stochastic SIQS model via isolation with regime-switching
title_full Dynamical behavior of a stochastic SIQS model via isolation with regime-switching
title_fullStr Dynamical behavior of a stochastic SIQS model via isolation with regime-switching
title_full_unstemmed Dynamical behavior of a stochastic SIQS model via isolation with regime-switching
title_short Dynamical behavior of a stochastic SIQS model via isolation with regime-switching
title_sort dynamical behavior of a stochastic siqs model via isolation with regime-switching
topic Original Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9793371/
https://www.ncbi.nlm.nih.gov/pubmed/36590452
http://dx.doi.org/10.1007/s12190-022-01831-x
work_keys_str_mv AT wangfeng dynamicalbehaviorofastochasticsiqsmodelviaisolationwithregimeswitching
AT liuzaiming dynamicalbehaviorofastochasticsiqsmodelviaisolationwithregimeswitching

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