Extinction and permanence of one-prey multi-predators of Holling type II function response system with impulsive biological control

Dynamical analysis of almost periodic solution for a multispecies predator-prey model with mutual interference and time delays

“…Holling [1] carried out a large number of experiments on predator and prey and got some different functional response functions. For example, the mathematical expression of Holling x i (i = 1, 2) model is as follows [2]:…”

Existence and global attractivity of positive periodic solutions for a Holling II two-prey one-predator system

“…Agiza et al [5] considered the chaotic phenomena of a discrete prey-predator model with Holling type II. Pei et al [6] analyzed the extinction and permanence for one-prey multi-predators of Holling type II function response system with impulsive biological control. For more knowledge about this theme, one can see [7][8][9][10][11][12][13][14][15][16][17][18].…”

The dynamics of an impulsive one-prey multi-predators system with delay and Holling-type II functional response

“…Impulsive methods have been applied in almost every field of applied sciences, see [4,5] and references therein. Recently, impulsive differential equations have been intensively researched and many nice results are obtained, see [6][7][8][9]11,12,14,15,20,22,23].…”

“…Functional response often affects the dynamics of biological system and different functional responses have been studied by many scholars, such as Holling-type [8,9,15], Watt-type [10][11][12] and Ivlev-type [13,14]. Currently, the field of research on the dynamics of impulsive differential equations with functional responses seems to be a new increasingly interesting area, see [7][8][9][10][11][12][13]23].…”