The Dynamics of an Impulsive Predator-Prey System with Stage Structure and Holling Type III Functional Response

Abstract

Based on the biological resource management of natural resources, a stage-structured predator-prey model with Holling type III functional response, birth pulse, and impulsive harvesting at different moments is proposed in this paper. By applying comparison theorem and some analysis techniques, the global attractivity of predator-extinction periodic solution and the permanence of this system are studied. At last, examples and numerical simulations are given to verify the validity of the main results.

Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response

“…Therefore, it is reasonable to introduce stage-structure into competitive or predator-prey models. Many researchers have incorporated it into biological models, where stage-structure is modeled by using a time delay [22][23][24]. Authors [5] pointed out that when the system contained time delay, it had more interesting behaviors.…”