Analysis of stochastic two-prey one-predator model with Lévy jumps

Meng Liu, Chuanzhi Bai, Meiling Deng and Bo Du

Physica A: Statistical Mechanics and its Applications, 2016, vol. 445, issue C, 176-188

Abstract: Taking white noises and Lévy noises into account, a two-prey one-predator model in random environments is proposed and investigated. Under some simple assumptions, the critical value between persistence in the mean and extinction for each population is obtained. Then sufficient conditions for stability in distribution of the model are established. Finally, some numerical examples are introduced to validate the analytical findings.

Keywords: Random noise; Lévy jumps; Stability (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:445:y:2016:i:c:p:176-188

DOI: 10.1016/j.physa.2015.10.066

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