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

被引：1

作者：

Dai, Xiangjun ^{[1
,2
]}

Jiao, Jianjun ^{[1
,3
]}

Quan, Qi ^{[1
]}

机构：

[1] Guizhou Normal Univ, Sch Math Sci, Guiyang 550025, Peoples R China

[2] Tongren Univ, Sch Date Sci, Tongren 554300, Peoples R China

[3] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China

来源：

SCIENTIFIC REPORTS | 2023年 / 13卷 / 01期

关键词：

PREDATOR-PREY MODEL; BIOLOGICAL POPULATION; POLLUTED ENVIRONMENT; QUALITATIVE APPROACH; COMPETITIVE MODEL; GLOBAL STABILITY; PROTECTION ZONE; PERSISTENCE; EXTINCTION; INPUT;

D O I：

10.1038/s41598-023-37861-z

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：15

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