Periodic solution for a stochastic non-autonomous competitive Lotka–Volterra model in a polluted environment

Daqing Jiang, Qiumei Zhang, Tasawar Hayat and Ahmed Alsaedi

Physica A: Statistical Mechanics and its Applications, 2017, vol. 471, issue C, 276-287

Abstract: In this paper, we consider a stochastic non-autonomous competitive Lotka–Volterra model in a polluted environment. We derive sufficient criteria for the existence and global attractivity of the boundary periodic solutions. Furthermore, we obtain conditions for the existence and global attractivity of a nontrivial positive periodic solution. Finally we make simulations to illustrate our analytical results.

Keywords: Competitive Lotka–Volterra model; Periodic solution; Global attractivity; Pollution (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:471:y:2017:i:c:p:276-287

DOI: 10.1016/j.physa.2016.12.008

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