Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
type: Item
instance of: scholarly article
title: Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
zbMATH Open document ID: 1085.34529
DOI: 10.1016/S0960-0779(02)00408-3
author: Xianning Liu
author: Lansun Chen
published in: Chaos, Solitons and Fractals
publication date: 2004-01-14T00:00:00Z
review text: The authors consider the so called Holling-type II predator-prey model with logistic term, subjected to an impulsive periodic perturbation that corresponds to punctuated predator in-migration. In the first part of the paper, the authors give conditions for the existence of bounded nontrivial soutions of the perturbed system. In the second part of the paper, a numerical exploration of the system is given, with the forcing amplitude as a parameter. The bifurcation diagram exhibits complex dynamical behaviour characteristic for periodically forced nonlinear oscillators.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 2027101
zbMATH Keywords: predator-prey
zbMATH Keywords: impulsive perturbations
Wikidata QID: Q115564089
MaRDI profile type: Publication
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full work available at URL: s0960-0779(02)00408-3
OpenAlex ID: W1991667705
description: scientific article; zbMATH DE number 2027101