Spatial Pattern Formation of a Modified Leslie-Gower Predator-Prey Model Incorporating Prey Refuge
نویسندگان
چکیده
In this paper, the spatiotemporal dynamics of a modified Leslie-Gower predator-prey system with Beddington DeAngelis functional response incorporating constant proportion of prey refuge under homogeneous Neumann boundary condition is investigated. The local and global asymptotic stability of the unique positive homogeneous steady state in the absence of diffusion are discussed. Furthermore, we perform a series of numerical simulations and the results of the numerical simulations reveal that the typical dynamics of population density variation is the formation of isolated groups, i.e., stripe like or spotted or coexistence of both..
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