An impulsive two-stage predator-prey model with stage-structure and square root functional responses
An impulsive two-stage predator-prey model with stage-structure and square root functional responses
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DOI：
10.1016/j.matcom.2015.08.009
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Xiangmin Ma;Yuanfu Shao;Zhen Wang;Mengzhuo Luo;Xianjia Fang;Zhixiang Ju
中科院分区：
文献类型：
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作者：
Xiangmin Ma;Yuanfu Shao;Zhen Wang;Mengzhuo Luo;Xianjia Fang;Zhixiang Ju
Taking into account stage-structure for predator and periodic pulse at different fixed moment, a delayed predator–prey system with square root functional response is investigated in this paper. Sufficient conditions for the global attractivity of the mature predator-extinction periodic solution are obtained. Further, by using theories of impulsive differential equation and delay differential equation, we investigate the permanence of this system. Finally, examples and numerical simulations are given to show that time delays and pulses play an important role in the dynamics which makes the system be more complex.
