Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1139016 | Mathematics and Computers in Simulation | 2016 | 17 Pages |
Abstract
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.
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Authors
Xiangmin Ma, Yuanfu Shao, Zhen Wang, Mengzhuo Luo, Xianjia Fang, Zhixiang Ju,