Dynamical behavior of a one predator and two independent preys system with stochastic perturbations

Chunyan Ji, Daqing Jiang and Dongxia Lei

Physica A: Statistical Mechanics and its Applications, 2019, vol. 515, issue C, 649-664

Abstract: A one predator and two independent preys system with stochastic perturbations is considered. First, we show that there is a positive solution of this system. Then, we investigate the long time behavior of this system. Sufficient criteria for extinction and persistence in time average are established. Moreover, it is also shown that this system has a stationary distribution and it is ergodicity. Finally, examples and simulations are carried on to verify these results.

Keywords: Predator–prey system; Persistence; Extinction; Stationary distribution; Ergodicity (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:515:y:2019:i:c:p:649-664

DOI: 10.1016/j.physa.2018.10.006

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