Dynamical behaviors of a predator-prey system with prey impulsive diffusion and dispersal delay between two patches

Advances in Difference Equations

Haining Jiang¹  Haiyun Wan¹ 

[1] grid.440746.5, School of Mathematics and Statistics, Heze University, Heze, P.R. China;

关键词: Predator-prey system;    Impulsive diffusion;    Dispersal delay;    Permanence;    Global attractivity;    34A37;    34C55;    34C25;    34D23;   

DOI  :  10.1186/s13662-019-2132-2

来源: publisher

【 摘 要 】

In this paper, we consider a predator-prey model with prey impulsive diffusion and dispersal delay. By utilizing the dynamical properties of a single-species model with diffusion and dispersal delay between two patches and the comparison principle of impulsive differential equations, we establish the sufficient conditions on the global attractivity of predator-extinction periodic solution and the permanence of species for the model.

【 授权许可】

CC BY