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Periodic measure of a stochastic single-species model in periodic environments

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  • Wang, Zhaojuan
  • Liu, Meng

Abstract

In this letter, we consider a widely used stochastic single-species model in periodic environments. Under some conditions, we show that the model admits a unique non-boundary periodic measure which could be utilized to dissect the periodic variations of the species in the real world. We also take advantage of the theoretical results to explore the growth law of African painted dogs with the help of real data.

Suggested Citation

  • Wang, Zhaojuan & Liu, Meng, 2023. "Periodic measure of a stochastic single-species model in periodic environments," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008809
    DOI: 10.1016/j.chaos.2023.113979
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    References listed on IDEAS

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    1. Wang, Feng-Yu & Yuan, Chenggui, 2011. "Harnack inequalities for functional SDEs with multiplicative noise and applications," Stochastic Processes and their Applications, Elsevier, vol. 121(11), pages 2692-2710, November.
    2. Yang, Jiangtao, 2022. "Periodic measure of a stochastic non-autonomous predator–prey system with impulsive effects," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 464-479.
    3. Ji, Weiming & Hu, Guixin, 2021. "Stability and explicit stationary density of a stochastic single-species model," Applied Mathematics and Computation, Elsevier, vol. 390(C).
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