Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls

In real world, the ecological systems are usually perturbed by human exploitation activities such as planting and harvesting and so on. In order to obtain a more accurate description for such phenomenon, the impulsive differential equations play an important role. This paper is concerned with a kind of almost periodic Schoener’s competition model with pure-delays and impulsive effects. By using the comparison theorem and the Lyapunov functional method of the impulsive differential equations, some sufficient conditions are obtained for the persistence and existence of a unique uniformly asymptotically stable positive almost periodic solution in a class of impulsive Schoener’s competition model with pure-delays. The main results in this paper improve some results in recent years. And the method used in this paper provides a possible and effective method to study the permanence and existence of a unique uniformly asymptotically stable positive almost periodic solution of the models with impulsive perturbations in biological populations. Finally, an example and numerical simulations are given to illustrate the feasibility and effectiveness of our main results.

show abstract

“… 2015 ; Zhang et al. 2015 ; Liu and Xu 2004 ; Liu et al. 2006 ; Li and Yang 2009 ; Gan and Lin 2012 ; Wu et al.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of almost periodic Schoener’s competition model with time delays and impulses

Guo

Zhang

2016

SpringerPlus

View full text Add to dashboard Cite

show abstract

Global Attractivity in a Discrete Mutualism Model with Infinite Deviating Arguments

Xie

Xue

2017

Discrete Dynamics in Nature and Society

View full text Add to dashboard Cite

A set of sufficient conditions is obtained for the global attractivity of the following two-species discrete mutualism model with infinite deviating arguments: x1(k+1)=x1kexp⁡r1(K1+α1∑s=0+∞J2sx2k-s)/(1+∑s=0+∞J2sx2k-s)-x1k and x2(k+1)=x2kexp⁡r2(K2+α2∑s=0+∞J1sx1k-s)/(1+∑s=0+∞J1sx1k-s)-x2k, where ri,Ki,αi, i=1,2, are all positive constants, ∑j=1+∞Ji(n)=1, and αi>Ki. Our results generalize the main result of Yang et al. (2014).

show abstract

Global Stability of Almost Periodic Solution of a Discrete Multispecies Gilpin-Ayala Mutualism System

Zhang

2015

BJAST

View full text Add to dashboard Cite

Almost Periodic Solution of a Multispecies Discrete Mutualism System with Feedback Controls

Cited by 4 publications

References 37 publications

Dynamics of almost periodic Schoener’s competition model with time delays and impulses

Dynamics of almost periodic Schoener’s competition model with time delays and impulses

Global Attractivity in a Discrete Mutualism Model with Infinite Deviating Arguments

Global Stability of Almost Periodic Solution of a Discrete Multispecies Gilpin-Ayala Mutualism System

Contact Info

Product

Resources

About