Dynamics of the stochastic Leslie–Gower predator–prey system with randomized intrinsic growth rate

Dianli Zhao and Sanling Yuan

Physica A: Statistical Mechanics and its Applications, 2016, vol. 461, issue C, 419-428

Abstract: This paper investigates the stochastic Leslie–Gower predator–prey system with randomized intrinsic growth rate. Existence of a unique global positive solution is proved firstly. Then we obtain the sufficient conditions for permanence in mean and almost sure extinction of the system. Furthermore, the stationary distribution is derived based on the positive equilibrium of the deterministic model, which shows the population is not only persistent but also convergent by time average under some assumptions. Finally, we illustrate our conclusions through two examples.

Keywords: Stochastic predator–prey system; Logistic diffusion terms; Persistence; Stationary distribution (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:461:y:2016:i:c:p:419-428

DOI: 10.1016/j.physa.2016.06.010

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