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

作者：Ma, Xiangmin; Shao, Yuanfu^*; Wang, Zhen; Luo, Mengzhuo; Fang, Xianjia; Ju, Zhixiang

来源：Mathematics and Computers in Simulation, 2016, 119: 91-107.

DOI：10.1016/j.matcom.2015.08.009

• Stage structure
• Impulsive control
• Functional response
• Stability
• Permanence

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.

• 出版日期2016-1
• 单位桂林理工大学