The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System

The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System
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DOI:
10.1155/2010/716932
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发表时间:
2010-10
影响因子:
1.4
通讯作者:
J. Jiao
J. Jiao
中科院分区:
数学4区
文献类型:
--
作者:
J. Jiao

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We investigate a predator-prey model with impulsive diffusion on predator and stage structure on prey. The globally attractive condition of prey-extinction periodic solution of the system is obtained by the stroboscopic map of the discrete dynamical system. The permanent condition of the system is also obtained by the theory of impulsive delay differential equation. The results indicate that the discrete time delay has influence on the dynamical behaviors of the system. Finally, some numerical simulations are carried out to support the analytic results.