Delay-induced oscillations in a competitor-competitor-mutualist Lotka-Volterra model
type: Item
instance of: scholarly article
title: Delay-induced oscillations in a competitor-competitor-mutualist Lotka-Volterra model
zbMATH Open document ID: 1367.49033
DOI: 10.1155/2017/2578043
published in: Complexity
publication date: 2017-08-03T00:00:00Z
review text: Summary: This paper deals with a competitor-competitor-mutualist Lotka-Volterra model. A series of sufficient criteria guaranteeing the stability and the occurrence of Hopf bifurcation for the model are obtained. Several concrete formulae determine the properties of bifurcating periodic solutions by applying the normal form theory and the center manifold principle. Computer simulations are given to support the theoretical predictions. At last, biological meaning and a conclusion are presented.
Mathematics Subject Classification ID: 49N75
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6756014
zbMATH Keywords: competitor-competitor-mutualist Lotka-Volterra model
zbMATH Keywords: stability
zbMATH Keywords: Hopf bifurcation
Wikidata QID: Q59142875
author: Changjin Xu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/2578043
OpenAlex ID: W2608809374
cites work: On the stability and Hopf bifurcation of a delay-induced predator-prey system with habitat complexity
cites work: Bifurcation and control of a bioeconomic model of a prey-predator system with a time delay
cites work: Existence of traveling wave solutions for diffusive predator-prey type systems
cites work: Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments
cites work: Dynamic behaviour of a delayed predator-prey model with harvesting
cites work: Coexistence states of a nonlinear Lotka-Volterra type predator-prey model with cross-diffusion
cites work: Periodic solution for a delayed three-species food-chain system with Holling type-II functional response
cites work: Global asymptotic stability for predator-prey models with environmental time-variations
cites work: Local Hopf bifurcation and global periodic solutions in a delayed predator--prey system
cites work: Existence and global attractivity of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with deviating arguments
cites work: Stability and Hopf bifurcation in a delayed competitive web sites model
cites work: Stability and bifurcation analysis of a delayed predator-prey model of prey dispersal in two-patch environments
cites work: Bifurcation analysis in a delayed Lotka-Volterra predator-prey model with two delays
cites work: Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure
cites work: Bifurcation and global periodic solutions in a delayed facultative mutualism system
cites work: Hopf bifurcation in a delayed Lotka-Volterra predator-prey system
cites work: Stability and bifurcation analysis in a basic model of the immune response with delays
cites work: Stability and global Hopf bifurcation in a delayed predator-prey system
cites work: Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
cites work: Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay
cites work: Q4462600
cites work: Q3930015
description: scientific article; zbMATH DE number 6756014