Survival analysis of a stochastic impulsive single-species population model with migration driven by environmental toxicant

Considering the influence of environmental toxicant on population migration between patches, we propose and study a stochastic impulsive single-species population model with migration driven by environmental toxicant in this paper. We first discuss the existence and uniqueness of global positive sol...

Descripción completa

Detalles Bibliográficos
Autores principales: Dai, Xiangjun, Jiao, Jianjun, Quan, Qi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10318090/
https://www.ncbi.nlm.nih.gov/pubmed/37400507
http://dx.doi.org/10.1038/s41598-023-37861-z
_version_ 1785067962875510784
author Dai, Xiangjun
Jiao, Jianjun
Quan, Qi
author_facet Dai, Xiangjun
Jiao, Jianjun
Quan, Qi
author_sort Dai, Xiangjun
collection PubMed
description Considering the influence of environmental toxicant on population migration between patches, we propose and study a stochastic impulsive single-species population model with migration driven by environmental toxicant in this paper. We first discuss the existence and uniqueness of global positive solutions of the model by constructing the Lyapunov function. Then, we obtain sufficient conditions for extinction, stochastic persistence and persistence in the mean of the single-species population. Finally, we present some numerical simulations to illustrate our results. These results provide insights for the conservation and management of species in polluted environments.
format Online
Article
Text
id pubmed-10318090
institution National Center for Biotechnology Information
language English
publishDate 2023
publisher Nature Publishing Group UK
record_format MEDLINE/PubMed
spelling pubmed-103180902023-07-05 Survival analysis of a stochastic impulsive single-species population model with migration driven by environmental toxicant Dai, Xiangjun Jiao, Jianjun Quan, Qi Sci Rep Article Considering the influence of environmental toxicant on population migration between patches, we propose and study a stochastic impulsive single-species population model with migration driven by environmental toxicant in this paper. We first discuss the existence and uniqueness of global positive solutions of the model by constructing the Lyapunov function. Then, we obtain sufficient conditions for extinction, stochastic persistence and persistence in the mean of the single-species population. Finally, we present some numerical simulations to illustrate our results. These results provide insights for the conservation and management of species in polluted environments. Nature Publishing Group UK 2023-07-03 /pmc/articles/PMC10318090/ /pubmed/37400507 http://dx.doi.org/10.1038/s41598-023-37861-z Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Dai, Xiangjun
Jiao, Jianjun
Quan, Qi
Survival analysis of a stochastic impulsive single-species population model with migration driven by environmental toxicant
title Survival analysis of a stochastic impulsive single-species population model with migration driven by environmental toxicant
title_full Survival analysis of a stochastic impulsive single-species population model with migration driven by environmental toxicant
title_fullStr Survival analysis of a stochastic impulsive single-species population model with migration driven by environmental toxicant
title_full_unstemmed Survival analysis of a stochastic impulsive single-species population model with migration driven by environmental toxicant
title_short Survival analysis of a stochastic impulsive single-species population model with migration driven by environmental toxicant
title_sort survival analysis of a stochastic impulsive single-species population model with migration driven by environmental toxicant
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10318090/
https://www.ncbi.nlm.nih.gov/pubmed/37400507
http://dx.doi.org/10.1038/s41598-023-37861-z
work_keys_str_mv AT daixiangjun survivalanalysisofastochasticimpulsivesinglespeciespopulationmodelwithmigrationdrivenbyenvironmentaltoxicant
AT jiaojianjun survivalanalysisofastochasticimpulsivesinglespeciespopulationmodelwithmigrationdrivenbyenvironmentaltoxicant
AT quanqi survivalanalysisofastochasticimpulsivesinglespeciespopulationmodelwithmigrationdrivenbyenvironmentaltoxicant

Ejemplares similares