The coexistence of a stochastic Lotka–Volterra model with two predators competing for one prey

Qiumei Zhang and Daqing Jiang

Applied Mathematics and Computation, 2015, vol. 269, issue C, 288-300

Abstract: In this paper, we consider a stochastic Lotka–Volterra model with two predators competing for one prey. We give the sufficient conditions which guarantee that the principle of coexistence holds for this perturbed model via Markov semigroup theory. Furthermore, we prove that the densities of the solution can converge in L1 to an invariant density under appropriate conditions. Finally we make simulations to illustrate our analytical results.

Keywords: Lotka–Volterra model; Diffusion process; Markov semigroups; Asymptotic stability; Coexistence (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:288-300

DOI: 10.1016/j.amc.2015.07.054

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