Stationary distribution of a regime-switching predator–prey model with anti-predator behaviour and higher-order perturbations

Qun Liu, Daqing Jiang, Tasawar Hayat and Ahmed Alsaedi

Physica A: Statistical Mechanics and its Applications, 2019, vol. 515, issue C, 199-210

Abstract: In this paper, we study a regime-switching predator–prey model with anti-predator behaviour and higher-order perturbations. We obtain the ergodic property by constructing a suitable stochastic Lyapunov function with regime-switching, which provides us a biological perspective of cycling phenomena of a population system, and can better describe the stochastic persistence of a population system in practice. We find that these restrictive assumptions on the functional response are relative weak and valid for many types of response functions.

Keywords: Stochastic predator–prey model; Anti-predator behaviour; Stationary distribution; Ergodicity; Higher-order perturbations (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:515:y:2019:i:c:p:199-210

DOI: 10.1016/j.physa.2018.09.168

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