An impulsive two-stage predator–prey model with stage-structure and square root functional responses

Xiangmin Ma, Yuanfu Shao, Zhen Wang, Mengzhuo Luo, Xianjia Fang and Zhixiang Ju

Mathematics and Computers in Simulation (MATCOM), 2016, vol. 119, issue C, 91-107

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.

Keywords: Stage structure; Impulsive control; Functional response; Stability; Permanence (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:119:y:2016:i:c:p:91-107

DOI: 10.1016/j.matcom.2015.08.009

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