Almost periodic solution of a multispecies discrete mutualism system with feedback controls
type: Item
instance of: scholarly article
title: Almost periodic solution of a multispecies discrete mutualism system with feedback controls
zbMATH Open document ID: 1418.92149
DOI: 10.1155/2015/268378
author: Feng Feng
author: Bin Jing
author: Yingqi Li
author: Zhang Hui
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We consider an almost periodic multispecies discrete Lotka-Volterra mutualism system with feedback controls. We firstly obtain the permanence of the system by utilizing the theory of difference equation. By means of constructing a suitable Lyapunov function, sufficient conditions are obtained for the existence of a unique positive almost periodic solution which is uniformly asymptotically stable. An example together with numerical simulation indicates the feasibility of the main result.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 7025285
MaRDI profile type: Publication
Wikidata QID: Q59105739
full work available at URL: https://doi.org/10.1155/2015/268378
OpenAlex ID: W2061281666
cites work: Periodic solutions for a Lotka-Volterra mutualism system with several delays
cites work: Existence of periodic solutions for a periodic mutualism model on time scales
cites work: Asymptotic behavior of solutions for a Lotka-Volterra mutualism reaction-diffusion system with time delays
cites work: Global asymptotic stability of positive equilibrium of three-species Lotka-Volterra mutualism models with diffusion and delay effects
cites work: Analysis of a stochastic autonomous mutualism model
cites work: Global stability of almost periodic solution of multispecies mutualism system with time delays and impulsive effects
cites work: Positive periodic solutions of a discrete mutualism model with time delays
cites work: Permanence for the discrete mutualism model with time delays
cites work: Permanence of a discrete model of mutualism with infinite deviating arguments
cites work: Almost periodic solutions of a discrete mutualism model with feedback controls
cites work: Global attractivity and almost periodic solution of a discrete mutualism model with delays
cites work: Global analysis of almost periodic solution of a discrete multispecies mutualism system
cites work: Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition pred\-a\-tor-prey systems
cites work: Permanence of a discrete \(N\)-species cooperation system with time delays and feedback controls
cites work: Periodic solution for a delay multispecies logarithmic population model with feedback control
cites work: Permanence of a discrete multispecies Lotka-Volterra competition predator-prey system with delays
cites work: Dynamic behaviors of the impulsive periodic multi-species predator-prey system
cites work: Permanence of a discrete nonlinear \(N\)-species cooperation system with time delays and feedback controls
cites work: Positive periodic solution for a multispecies competition-predator system with Holling III functional response and time delays
cites work: Permanence of a discrete \(n\)-species cooperation system with time-varying delays and feedback controls
cites work: Periodic and almost periodic solutions of a nonlinear single species discrete model with feedback control
cites work: Almost periodic solutions for a discrete fishing model with feedback control and time delays
cites work: Permanence and almost periodic solution of a Lotka-Volterra model with mutual interference and time delays
cites work: Periodic solution and almost periodic solution of impulsive Lasota-Wazewska model with multiple time-varying delays
cites work: An almost periodic solution for an impulsive two-species logarithmic population model with time-varying delay
cites work: Positive almost periodic solutions for a delay logarithmic population model
cites work: Existence and stability of positive almost periodic solutions and periodic solutions for a logarithmic population model
cites work: Existence of almost periodic solution in a ratio-dependent Leslie system with feedback controls
cites work: Almost periodic sequence solutions of a discrete Lotka-Volterra competitive system with feedback control
cites work: Dynamic analysis of a turbidostat model with the feedback control
cites work: Feedback control has no influence on the persistent property of a single species discrete model with time delays
cites work: Permanence and almost periodic sequence solution for a discrete delay logistic equation with feedback control
cites work: Persistence and almost periodic solutions for a discrete fishing model with feedback control
cites work: Almost periodic differential equations
cites work: Liapunov functions and almost periodic solutions for almost periodic systems
cites work: Existence of an almost periodic solution in a difference equation by Liapunov functions
cites work: Q4514438
cites work: The existence of almost periodic solutions for a class of differential equations with piecewise constant argument
cites work: Permanence for a discrete model with feedback control and delay
Recommended article: Almost periodic solutions of a discrete mutualism model with feedback controls
Recommended article: Q2987380
Recommended article: Global analysis of almost periodic solution of a discrete multispecies mutualism system
Recommended article: Almost periodic solutions of a discrete mutualism model with variable delays
Recommended article: Almost periodic solutions of \(n\)-species competitive system with feedback controls
Recommended article: Q4926266
Recommended article: Almost periodic solution of a discrete commensalism system
Recommended article: ALMOST PERIODIC SOLUTION FOR A n-SPECIES COMPETITION MODEL WITH FEEDBACK CONTROLS ON TIME SCALES
Recommended article: Q3641538
Recommended article: Dynamics of almost periodic solution for a delayed facultative mutualism model involving negative feedback terms
description: scientific article; zbMATH DE number 7025285