The persistence in a Lotka--Volterra competition systems with impulses
type: Item
instance of: scholarly article
title: The persistence in a Lotka--Volterra competition systems with impulses
zbMATH Open document ID: 1081.34045
author: Jin Zhen
author: Guihua Li
author: Maoan Han
published in: Chaos, Solitons and Fractals
publication date: 2005-05-12T00:00:00Z
review text: The authors investigate a nonautonomous two-dimensional competitive Lotka-Volterra system. Sufficient conditions for persistence and extinction of the species are obtained.
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34A37
zbMATH DE Number: 2167923
zbMATH Keywords: Lotka-Volterra system
zbMATH Keywords: impulses
zbMATH Keywords: persistence
reviewed by: I. M. Stamova
MaRDI profile type: Publication
full work available at URL: j.chaos.2004.09.065
OpenAlex ID: W2134610262
cites work: Q3867616
cites work: Discrete time models for two-species competition
cites work: Uniformly Persistent Systems
cites work: Persistence in Discrete Semidynamical Systems
cites work: Coexistence for systems governed by difference equations of Lotka- Volterra type
cites work: Delay differential equations: with applications in population dynamics
cites work: Q4003237
cites work: Periodic solutions for delay differential equations model of plankton allelopathy
cites work: Permanence and global attractivity for competitive Lotka–Volterra systems with delay
cites work: On the Nonautonomous Volterra-Lotka Competition Equations
cites work: Extinction in nonautonomous \(T\)-periodic competitive Lotka-Volterra system
cites work: Necessary and sufficient average growth in a Lotka–Volterra system
cites work: Extinction of species in nonautonomous Lotka-Volterra systems
cites work: Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system
cites work: Q4800246
cites work: Almost necessary and sufficient conditions for survival of species
cites work: The permanence and global attractivity in a nonautonomous Lotka--Volterra system
cites work: The qualitative analysis of \(N\)-species nonlinear prey-competition systems.
cites work: Extinction in Competitive Lotka-Volterra Systems
cites work: Q3995625
cites work: Q4280625
cites work: Q4848733
cites work: Periodic solutions and bifurcations in an impact-inverted pendulum under impulsive excitation
cites work: Stability results for impulsive differential systems with applications to population growth models
cites work: Permanence of population growth models with impulsive effects
cites work: Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
cites work: Impulsive control of a Lotka-Volterra system
cites work: A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
cites work: Q4487445
cites work: Global dynamics of the periodic logistic system with periodic impulsive perturbations.
cites work: The existence of periodic solutions of the \(n\)-species Lotka-Volterra competition systems with impulsive
DOI: 10.1016/J.CHAOS.2004.09.065
description: scientific article; zbMATH DE number 2167923