Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion

Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion
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具有收获努力和脉冲扩散的阶段结构捕食者-被捕食者模型的动态行为

DOI:
10.1155/2015/371852
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发表时间:
2015-05
影响因子:
1.4
通讯作者:
Yang Zhichun
Yang Zhichun
中科院分区:
数学4区
文献类型:
--
作者:
Huang Lingzhi;Yang Zhichun

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We consider a delayed predator-prey model with harvesting effort and impulsive diffusion between two patches. By the impulsive comparison theorem and the discrete dynamical system determined by the stroboscopic map, we obtain some sufficient conditions on the existence and global attractiveness of predator-eradicated periodic solution for the system. Furthermore, the permanence of the system is derived. The obtained results will modify and improve the ones in some existing publications and give the estimate for the ultimately low and upper boundedness of the systems.
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