Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay
type: Item
instance of: scholarly article
title: Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay
zbMATH Open document ID: 1113.34052
author: Xingfu Zou
author: X. H. Tang
author: Daomin Cao
published in: Journal of Differential Equations
publication date: 2006-11-15T00:00:00Z
review text: A general \(n\)-dimensional competitive Lotka-Volterra system is considered with periodic coefficients and time delays that depend on the time and are also periodic functions. Several theorems are proved that establish conditions for the existence and uniqueness of globally attracting periodic solutions. The results differ from earlier ones in this direction that there are delays also in the intraspecific competition term and that global attractivity is proved.
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 5072805
zbMATH Keywords: 3/2-type conditions
reviewed by: M. Farkas
MaRDI profile type: Publication
full work available at URL: j.jde.2006.06.007
OpenAlex ID: W2033389998
cites work: An application of topological degree to the periodic competing species problem
cites work: On the Nonautonomous Volterra-Lotka Competition Equations
cites work: Asymptotically periodic solutions of \(N\)-competing species problem with time delays
cites work: Global asymptotic stability in a nonautonomous Lotka-Volterra type system with infinite delay
cites work: Stability and periodic solutions of ordinary and functional differential equations
cites work: Stable periodic solution of a discrete periodic Lotka-Volterra competition system
cites work: Two species competition in a periodic environment
cites work: Q5185568
cites work: Global periodic solutions of a generalized \(n\)-species Gilpin-Ayala competition model
cites work: Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments
cites work: Q3895297
cites work: Uniform persistence in functional differential equations
cites work: Persistence in a model of three competitive populations
cites work: Periodic Solutions of Single-Species Models with Periodic Delay
cites work: Exchange of equilibria in two species Lotka-Volterra competition models
cites work: Global asymptotic stability in a periodic integrodifferential system
cites work: Global asymptotic stability in a periodic Lotka-Volterra system
cites work: Q4003237
cites work: Q4000352
cites work: Q3860165
cites work: The Lyapunov Functionals for Delay Lotka--Volterra-Type Models
cites work: Persistence, attractivity, and delay in facultative mutualism
cites work: Some new results on the periodic competition model
cites work: Delay differential equations: with applications in population dynamics
cites work: Global stability in delay differential systems without dominating instantaneous negative feedbacks
cites work: Global stability in delayed nonautonomous Lotka-Volterra type systems without saturated equilibria
cites work: Global stability for infinite delay Lotka--Volterra type systems
cites work: Q4374087
cites work: Q4514300
cites work: Periodic solutions for delay Lotka-Volterra competition systems
cites work: Periodic solutions of periodic delay Lotka-Volterra equations and systems
cites work: Q4189109
cites work: Nonautonomous Lotka-Volterra systems. I
cites work: Nonautonomous Lotka-Volterra systems. II
cites work: Time delays and chaos in two competing species
cites work: Periodic Solutions of Periodic Competitive and Cooperative Systems
cites work: Periodic competitive differential equations and the discrete dynamics of competitive maps
cites work: Monotone semiflows generated by functional differential equations
cites work: Strongly order preserving semiflows generated by functional differential equations
cites work: Global Attractivity for a Population Model with Time Delay
cites work: Permanence in Kolmogorov-type systems of nonautonomous functional differential equations
cites work: Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional differential systems
cites work: \({3/2}\)-type criteria for global attractivity of Lotka--Volterra competition system without instantaneous negative feedbacks
cites work: Global attractivity of non-autonomous Lotka-Volterra competition system without instantaneous negative feedback.
cites work: On positive periodic solutions of Lotka-Volterra competition systems with deviating arguments
cites work: Nonautonomous Lotka-Volterra systems with delays
cites work: Q4528400
cites work: Uniform persistence and existence of strictly positive solutions to nonautonomous Lotka-Volterra competitive systems with delays
cites work: Global asymptotic stability of periodic Lotka-Volterra systems with delays
cites work: On the asymptotic behavior of some population models. II
cites work: A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem
cites work: Q4875050
cites work: A non-linear difference-differential equation.
cites work: Permanence and convergence in multi-species competition systems with delay
DOI: 10.1016/J.JDE.2006.06.007
Recommended article: Global attractivity for nonautonomous Lotka-Volterra competitive systems with finite time delays
Recommended article: Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking
Recommended article: Global attractivity of almost periodic solutions for competitive Lotka-Volterra diffusion system
Recommended article: Q4543394
Recommended article: Existence and global attractivity of positive periodic solution to a Lotka-Volterra model
Recommended article: Q3644419

Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay (Recommended article)
Recommended article: Existence and global attractivity of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with deviating arguments
Similarity Score: 0.9356431
Recommender Run: Recommender Run 3

Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay (Recommended article)
Recommended article: Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments
Similarity Score: 0.93473953
Recommender Run: Recommender Run 3

Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay (Recommended article)
Recommended article: Q4337780
Similarity Score: 0.93391514
Recommender Run: Recommender Run 3