Periodic solution of prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control
type: Item
instance of: scholarly article
title: Periodic solution of prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control
zbMATH Open document ID: 1263.92053
DOI: 10.1155/2012/607105
author: Chunjin Wei
author: Lansun Chen
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: A prey-predator model with Beddington-DeAngelis functional response and impulsive state feedback control is investigated. We obtain sufficient conditions of the global asymptotical stability of the system without impulsive effects. By using the geometry theory of semicontinuous dynamic systems and the method of successor functions, we obtain a system with impulsive effects that has an order one periodic solution, and sufficient conditions for existence and stability of order one periodic solutions are also obtained. Finally, numerical simulations are performed to illustrate our main results.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 65C20
zbMATH DE Number: 6169945
MaRDI profile type: Publication
Wikidata QID: Q58906231
full work available at URL: https://doi.org/10.1155/2012/607105
OpenAlex ID: W1969337318
cites work: Dynamic analysis of a pest management SEI model with saturation incidence concerning impulsive control strategy
cites work: Eco-epidemiology model with age structure and prey-dependent consumption for pest management
cites work: A predator-prey model with disease in the prey and two impulses for integrated pest management
cites work: A impulsive infective transmission SI model for pest control
cites work: Integrated pest management models and their dynamical behaviour
cites work: Existence of periodic solution of order one of planar impulsive autonomous system
cites work: Impulsive state feedback control of a predator-prey model
cites work: Complex dynamics of a Holling type II prey-predator system with state feedback control
cites work: Existence and stability of periodic solution of a Lotka-Volterra predator-prey model with state dependent impulsive effects
cites work: A detailed study of the Beddington-DeAngelis predator-prey model
cites work: Qualitative analysis of Beddington-DeAngelis type impulsive predator-prey models
cites work: DYNAMICS ON A HOLLING II PREDATOR–PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL
cites work: The geometrical analysis of a predator-prey model with two state impulses
cites work: Orbital stability of periodic solutions of autonomous systems with impulse effect
DBLP publication ID: journals/jam/WeiC12
description: scientific article; zbMATH DE number 6169945