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Dynamics in a stochastic diffusive plant-herbivore system

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  • Huang, Zaitang
  • Li, Qi
  • Cao, Junfei

Abstract

In the paper, we consider the dynamics of stochastic diffusive plant-herbivore system. Firstly, we establish the global existence and uniqueness of solutions by the fixed point theorem. Secondly, by comparison theorem and Krylov-Bogoliubov theorem, the extinction and invariant measure for the system are investigated. Finally, we also prove a large deviation result by martingale inequality and some special energy estimates.

Suggested Citation

  • Huang, Zaitang & Li, Qi & Cao, Junfei, 2021. "Dynamics in a stochastic diffusive plant-herbivore system," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921005014
    DOI: 10.1016/j.chaos.2021.111147
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    References listed on IDEAS

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    1. Huang, Zaitang & Cao, Junfei, 2018. "Ergodicity and bifurcations for stochastic logistic equation with non-Gaussian Lévy noise," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 1-10.
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    Cited by:

    1. Yang, Yanling & Wang, Qiubao, 2023. "Capture of stochastic P-bifurcation in a delayed mechanical centrifugal governor," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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