Dynamics in a stochastic diffusive plant-herbivore system

Zaitang Huang, Qi Li and Junfei Cao

Chaos, Solitons & Fractals, 2021, vol. 151, issue C

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.

Keywords: Stochastic diffusive plant-herbivore system; Extinction; Invariant measure; Markov property; Large deviation principle (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921005014

DOI: 10.1016/j.chaos.2021.111147

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