具有阶段结构的脉冲三种群捕食–食饵系统的动力学性质研究（英文）

Dynamical Behaviors of a Three Species Predator-prey System with Predator Stage-structure and Impulsive Effects

考虑不同时刻的脉冲效应和捕食者的阶段结构因素的影响,本文构建了一个具有阶段结构的脉冲三种群捕食–食饵模型.利用Floquent定理和小振幅扰动等方法,证明了食饵灭绝周期解存在性、稳定性和全局吸引性.运用比较定理并构建适当的Laypunov函数,证明了系统持久性.最后,通过数值仿真得到了物种的时间序列图和系统的混沌图,并验证了理论结果的准确性.

Considering the impulsive effects at different fixed moments and the predator stagestructure, we propose a three species predator-prey system with predator stagestructure and impulsive effects in this paper. At first, we prove the existence,stability and global attractivity of the prey-extinction periodic solution via the Floquent theory and small amplitude perturbation. Then, we obtain the permanence of this system by using comparison method and involving multiple Laypunov functions. Finally, we show our theoretical results by numerical simulations, such as time series of species population and chaotic bands of system.