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Survival analysis of a stochastic delay single-species system in polluted environment with psychological effect and pulse toxicant input

Authors
  • Dai, Xiangjun1
  • Wang, Suli2
  • Xiong, Weizhi1
  • Li, Ni1
  • 1 School of Data Science of TongRen University, Tongren, 554300, P.R. China , Tongren (China)
  • 2 Tongren Preschool Education College, Tongren, 554300, P.R. China , Tongren (China)
Type
Published Article
Journal
Advances in Difference Equations
Publisher
Springer International Publishing
Publication Date
Oct 28, 2020
Volume
2020
Issue
1
Identifiers
DOI: 10.1186/s13662-020-02932-2
Source
Springer Nature
Keywords
License
Green

Abstract

We propose and study a stochastic delay single-species population system in polluted environment with psychological effect and pulse toxicant input. We establish sufficient conditions for the extinction, nonpersistence in the mean, weak persistence, and strong persistence of the single-species population and obtain the threshold value between extinction and weak persistence. Finally, we confirm the efficiency of the main results by numerical simulations.

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