Exponential extinction of a stochastic predator–prey model with Allee effect

Beibei Zhang, Hangying Wang and Guangying Lv

Physica A: Statistical Mechanics and its Applications, 2018, vol. 507, issue C, 192-204

Abstract: In this paper, we study a stochastic predator–prey model with Beddington–DeAngelis functional response and Allee effect, whose coefficients are dependent on expectations. We prove that there is a unique global positive solution to the system with the positive initial value. Moreover, sufficient conditions for exponential extinction are established.

Keywords: Stochastic; Predator–prey model; Allee effect; Expectation (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:507:y:2018:i:c:p:192-204

DOI: 10.1016/j.physa.2018.05.073

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