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

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作者
Haiyun Wan
Haining Jiang
机构
[1] Heze University,School of Mathematics and Statistics
关键词
Predator-prey system; Impulsive diffusion; Dispersal delay; Permanence; Global attractivity; 34A37; 34C55; 34C25; 34D23;
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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.
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