# American Institute of Mathematical Sciences

October  2010, 14(3): 1081-1094. doi: 10.3934/dcdsb.2010.14.1081

## Analysis of a predator-prey model with predators impulsively diffusing between two patches

 1 School of Mathematics and Statistics, Guizhou Key Laboratory of Economic System, Simulation, Guizhou College of Finance and Economics, Guiyang 550004, China 2 Institute of Mathematics, Academy of Mathematics and System Sciences, Beijing 100080, China

Received  May 2009 Revised  November 2009 Published  July 2010

In this work, a predator-prey model with predators impulsively diffusing between two patches is investigated. By the stroboscopic map of the discrete dynamical system, the prey-extinction periodic solution of the investigated system is proved to be globally asymptotically stable. By the theory of impulsive differential equation, the investigated system is also proved to be permanent. Finally, the numerical simulation is inserted to illustrate the results.
Citation: Jianjun Jiao, Lansun Chen. Analysis of a predator-prey model with predators impulsively diffusing between two patches. Discrete and Continuous Dynamical Systems - B, 2010, 14 (3) : 1081-1094. doi: 10.3934/dcdsb.2010.14.1081
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