Dynamical behaviors of a prey-predator model with foraging arena scheme in polluted environments
In this paper, based on the deterministic prey-predator model owning foraging arena scheme, the authors have proposed a stochastic foraging arena prey-predator model in presence of environmental pollution. The sufficient criterions for uniform weak persistence in the mean and extinction have been obtained. The threshold between persistence and extinction has been also derived for the prey population. The authors have also showed the existence of a positive periodic solution under appropriate conditions. Finally, the authors present some numerical simulations to visually demonstrate their theoretical results. This paper is mostly inspired by the works of \textit{M. Liu} and \textit{K. Wang} [``Survival analysis of stochastic single-species population models in polluted environments'', Ecol. Model. 220, No. 9--10, 1347--1357 (2009; \url{doi:10.1016/j.ecolmodel.2009.03.001})].
scientific article; zbMATH DE number 7438337
scientific article