Almost periodic solutions of a nonlinear ecological model
type: Item
instance of: scholarly article
title: Almost periodic solutions of a nonlinear ecological model
zbMATH Open document ID: 1255.34084
author: Jinbo Geng
author: Yonghui Xia
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-09-23T00:00:00Z
review text: This paper is mainly concerned with almost periodic solutions of a nonlinear ecological model by using a comparison theorem and a Lyapunov functional. Sufficient conditions are established for the existence and global asymptotic stability of a unique positive almost periodic solution of the model. The obtained results are applied to some competition models with or without feedback controls. An example with numerical simulations is provided to show the feasibility and effectiveness of the main results.
reviewed by: Yong Kui Chang
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 5950314
zbMATH Keywords: predator-prey system
zbMATH Keywords: Lyapunov functional
zbMATH Keywords: almost periodic solutions
zbMATH Keywords: global asymptotic stability
MaRDI profile type: Publication
full work available at URL: j.cnsns.2010.09.033
OpenAlex ID: W1989499628
cites work: Two species competition in a periodic environment
cites work: Positive periodic solutions of delayed periodic Lotka-Volterra systems
cites work: Description of complex dynamics in a class of impulsive differential equations
cites work: Complexity analysis and its application
cites work: Chaos in a class of impulsive differential equation
cites work: On almost Periodic Solutions of the Competing Species Problems
cites work: On the Nonautonomous Volterra-Lotka Competition Equations
cites work: Feedback regulation of logistic growth
cites work: Global asymptotic stability in a periodic Lotka-Volterra system
cites work: Global asymptotic stability in an almost-periodic Lotka-Volterra system
cites work: Oscillations and convergence in an almost periodic competition system
cites work: An application of topological degree to the periodic competing species problem
cites work: Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system
cites work: A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem
cites work: On the asymptotic behavior of some population models
cites work: Q4693478
cites work: Q4796987
cites work: The qualitative analysis of \(n\)-species Lotka-Volterra periodic competition systems
cites work: Global Models of Growth and Competition
cites work: Stability in Gilpin and Ayala's models of competition
cites work: Permanence and periodic solution in competitive system with feedback controls
cites work: Retracted: Bifurcation analysis in the delayed Leslie-Gower predator-prey system
cites work: Retracted: Stability and Hopf bifurcations in a delayed Leslie-Gower predator-prey system
cites work: Bifurcation analysis for a regulated logistic growth model
cites work: Periodic solutions for delay differential equations model of plankton allelopathy
cites work: Q4693476
cites work: Q5692960
cites work: Global attractivity of an almost periodic \(N\)-species nonlinear ecological competitive model
cites work: Q5459792
cites work: New Conditions on the Existence and Stability of Periodic Solution in Lotka–Volterra's Population System
cites work: Almost periodic solutions of \(n\)-species competitive system with feedback controls
cites work: ALMOST-PERIODIC SOLUTIONS FOR AN ECOLOGICAL MODEL WITH INFINITE DELAYS
cites work: Existence of almost periodic solutions for forced perturbed systems with piecewise constant argument
cites work: Nonautonomous Lotka-Volterra systems with delays
cites work: Global asymptotic stability of periodic Lotka-Volterra systems with delays
cites work: Almost periodic differential equations
cites work: Uniform asymptotic stability and global stability of impulsive infinite delay differential equations
cites work: Q3262986
cites work: Convergence dynamics and pseudo almost periodicity of a class of nonautonomous RFDEs with applications
cites work: Existence and exponential stability of almost periodic solution for stochastic cellular neural networks with delay
cites work: GLOBAL EXPONENTIAL STABILITY OF IMPULSIVE FUZZY CELLULAR NEURAL NETWORKS WITH DELAYS AND DIFFUSION
cites work: Functional differential equations with infinite delay
cites work: Almost periodic solutions of a system of integrodifferential equations
cites work: Q5699061
cites work: Existence of almost periodic solutions for strong stable impulsive differential equations
cites work: Impulsive cellular neural networks and almost periodicity
cites work: Q4139908
cites work: Stability loss delay in harvesting competing populations
DOI: 10.1016/J.CNSNS.2010.09.033
Recommended article: ALMOST-PERIODIC SOLUTIONS FOR AN ECOLOGICAL MODEL WITH INFINITE DELAYS
Recommended article: Global asymptotic stability of an almost periodic nonlinear ecological model
Recommended article: Existence and global attractivity of an almost periodic ecological model
Recommended article: Almost periodic models in impulsive ecological systems with variable diffusion
Recommended article: Q4472655
Recommended article: Q5445574
Recommended article: Diversities of periodic solutions for a class of ecological model
Recommended article: Q3990388
Recommended article: Q5368364

Almost periodic solutions of a nonlinear ecological model (Recommended article)
Recommended article: PERIODIC SOLUTION OF A HIGHER DIMENSIONAL ECOLOGICAL SYSTEM
Similarity Score: 0.92498255
Recommender Run: Recommender Run 3