Dynamical analysis of a delayed predator-prey model with impulsive diffusion between two patches

Jianjun Jiao, Xiaosong Yang, Shaohong Cai and Lansun Chen

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 3, 522-532

Abstract: In this work, we propose a delayed predator–prey model with impulsively diffusive prey between two patches. Using the stroboscopic map of the discrete dynamical system, we obtain the globally attractive condition of predator-extinction periodic solution of the system. We also obtain the permanent condition of the system by the theory of impulsive delay differential equation. Our results indicate that the discrete time delay has influence to the dynamical behaviors of the system. Finally, the numerical analysis is inserted to illustrate the results.

Keywords: Predator–prey model; Impulsive diffusion; Extinction; Permanent (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:3:p:522-532

DOI: 10.1016/j.matcom.2009.07.008

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