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Long time behaviors of single-species population models with psychological effect and impulsive toxicant in polluted environments

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  • Lan, Guijie
  • Wei, Chunjin
  • Zhang, Shuwen

Abstract

In this paper, we formulate and study the single-species population models with impulsive toxicant input in polluted environments. For the deterministic single-species population model, the threshold between persistence and extinction is established for single-species population. For the stochastic single-species population model, there is a unique positive solution, which is a prerequisite for analyzing the long-term behavior of the stochastic model. Then, a threshold dynamic determined by μ̄ is established, which mainly determines the persistence or extinction of the single-species. Numerical simulations are carried out to support our theoretical results.

Suggested Citation

  • Lan, Guijie & Wei, Chunjin & Zhang, Shuwen, 2019. "Long time behaviors of single-species population models with psychological effect and impulsive toxicant in polluted environments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 828-842.
    • Handle: RePEc:eee:phsmap:v:521:y:2019:i:c:p:828-842
    DOI: 10.1016/j.physa.2019.01.096
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    References listed on IDEAS

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    1. Deng, Xiumei & Huang, Qihua, 2024. "A toxicant-taxis reaction–diffusion model for the interaction between two species and a toxicant in an aquatic ecosystem," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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