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A regime switching model for species subject to environmental noises and additive Allee effect

Author

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  • Xu, Junyan
  • Zhang, Tonghua
  • Han, Maoan

Abstract

Taking into account the environmental noises and Allee effect, we develop a regime switching model for a single species, and then we consider dynamics of species population, such as persistence, ergodicity and global attractivity. More precisely, firstly we prove the global existence of the positive solution, and then study the extinction of species, non-persistence in mean, persistence in mean and stochastic permanence. It is followed by the study of positive recurrence, ergodicity and the global attractivity. Finally, we conclude our study by a numerical example and discussions.

Suggested Citation

  • Xu, Junyan & Zhang, Tonghua & Han, Maoan, 2019. "A regime switching model for species subject to environmental noises and additive Allee effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    • Handle: RePEc:eee:phsmap:v:527:y:2019:i:c:s0378437119307599
    DOI: 10.1016/j.physa.2019.121300
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    Cited by:

    1. Liyun Lai & Zhenliang Zhu & Fengde Chen, 2020. "Stability and Bifurcation in a Predator–Prey Model with the Additive Allee Effect and the Fear Effect," Mathematics, MDPI, vol. 8(8), pages 1-21, August.

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