<p>The study of predator-prey system has attracted more and more researchers attention, and has long been a central topic in ecology and evolutionary biology. In real life, one predator may prey on multiple predators, and one predator may be preyed on by multiple predators, that is, the predator-prey system is a complex network structure. At the same time, it has long been widely held that predators can only affect the growth of prey by killing them directly. Meanwhile, in actual population modeling, it is very important to study the effects of environment on population size, population interaction and species extinction. Therefore, the purpose of this paper is to investigate the dynamical properties of a modified Leslie-Grower multi-predator-multi-prey model with fear effect. Meanwhile, the feature of the proposed system is combining the white noise and the telegraph noise, which can model systems in practice reasonably. Following the proposed system, the existence and stochastically boundedness of positive global solution are firstly considered. Then, sufficient conditions are derived for the persistence and extinction of every prey and predator. Furthermore, the existence of stationary distribution is investigated, which is the stability of the proposed system in weak sense. The results show that the stationary distribution of the Markon chain plays a very important role in determining the extinction or persistence of predator-prey.</p>

Fear Effect of a Switching Diffusion Modified Leslie-Gower Multi-Predator-Multi-Prey System

Paper Proceedings: https://asmedigitalcollection.asme.org/IDETC-CIE/IDETC-CIE2021/volume/85369

ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE2021)

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