An impulsive prey-predator system with stage-structure and Holling II functional response

Abstract

Taking into account that individual organisms usually go through immature and mature stages, in this paper, we investigate the dynamics of an impulsive prey-predator system with a Holling II functional response and stage-structure. Applying the comparison theorem and some analysis techniques, the sufficient conditions of the global attractivity of a mature predator periodic solution and the permanence are investigated. Examples and numerical simulations are shown to verify the validity of our results.

On an Impulsive Food Web System with Mutual Interference and Distributed Time Delay

“…So it can be assumed that these perturbations are instantaneous; i.e., these perturbations are the form of impulse. Obviously, the impulsive effect is often manifested in the medical mutation rhythm model, biological control model, economic optimization model, frequency-modulated dynamic model, and pharmacokinetics; we can see the related literature in [16][17][18][19]; and the papers [20,21] pointed out that impulsive differential equations are a good mathematical tool for describing the evolution of these models. In addition, time delay has also been extensively studied in predator-prey systems.…”