A food chain model with impulsive perturbations and Holling IV functional response

作者：Zhang SW^*; Wang FY; Chen LS

来源：Chaos Solitons & Fractals, 2005, 26(3): 855-866.

DOI：10.1016/j.chaos.2005.01.053

In this paper, we investigate a three trophic level food chain system with Holling IV functional responses and periodic constant impulsive perturbations of top predator. Conditions for extinction of predator are given. By using the Floquet theory of impulsive equation and small amplitude perturbation skills, we consider the local stability of predator eradication periodic solution. Further, influences of the impulsive perturbation on the inherent oscillation are studied numerically, which shows the rich dynamics in the positive octant.

• 出版日期2005-11
• 单位鞍山师范学院; 大连理工大学