Permanence, extinction and balancing survival in nonautonomous Lotka-Volterra system with delays.
type: Item
instance of: scholarly article
title: Permanence, extinction and balancing survival in nonautonomous Lotka-Volterra system with delays.
zbMATH Open document ID: 1035.34088
DOI: 10.1016/S0096-3003(01)00058-3
author: Shengqiang Liu
author: Lansun Chen
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: The main results of this paper are devoted to derive sufficient conditions for permanence, extinction and balancing survival of an \(n\)-species Lotka-Volterra competition system with periodic time delays. It is shown that the obtained results improve and extend previous results in the literature. One of the conclusions is that, under certain conditions, time delays do not affect the permanence and extinction in the system. A related conjecture is stated.
reviewed by: Eduardo Liz
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 1861104
zbMATH Keywords: competitive Lotka-Volterra system
zbMATH Keywords: delay differential equations
zbMATH Keywords: permanence
zbMATH Keywords: extinction
zbMATH Keywords: balancing survival
MaRDI profile type: Publication
cites work: Harmless delays for uniform persistence
cites work: Delay differential equations: with applications in population dynamics
cites work: Permanence in Kolmogorov-type systems of nonautonomous functional differential equations
cites work: Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments
cites work: Some new results on nonautonomous Lotka-Volterra competitive systems with delays
cites work: Permanence and global attractivity for competitive Lotka–Volterra systems with delay
cites work: Dynamical behaviors for population growth equations with delays
cites work: Extinction in nonautonomous competitive Lotka-Volterra systems
cites work: Balancing survival and extinction in nonautonomous competitive Lotka- Volterra systems
cites work: Extinction in nonautonomous \(T\)-periodic competitive Lotka-Volterra system
cites work: Extinction of species in nonautonomous Lotka-Volterra systems
cites work: A nonautonomous model of population growth
cites work: Time delays and chaos in two competing species
cites work: Global asymptotic stability in a periodic Lotka-Volterra system
cites work: On the asymptotic behavior of some population models. II
full work available at URL: s0096-3003(01)00058-3
OpenAlex ID: W2091447063
description: scientific article; zbMATH DE number 1861104