Complex Dynamical Behavior of a Predator-Prey System with Group Defense

Jianglin Zhao, Min Zhao and Hengguo Yu

Mathematical Problems in Engineering, 2013, vol. 2013, 1-8

Abstract:

A diffusive predator-prey system with prey refuge is studied analytically and numerically. The Turing bifurcation is analyzed in detail, which in turn provides a theoretical basis for the numerical simulation. The influence of prey refuge and group defense on the equilibrium density and patterns of species under the condition of Turing instability is explored by numerical simulations, and this shows that the prey refuge and group defense have an important effect on the equilibrium density and patterns of species. Moreover, it can be obtained that the distributions of species are more sensitive to group defense than prey refuge. These results are expected to be of significance in exploration for the spatiotemporal dynamics of ecosystems.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:910349

DOI: 10.1155/2013/910349

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