Global Attractivity and Extinction of a Discrete Competitive System with Infinite Delays and Single Feedback Control-Reference-Cited by-同舟云学术

Global Attractivity and Extinction of a Discrete Competitive System with Infinite Delays and Single Feedback Control

Published:2018-06-25 Issue: Volume:2018 Page:1-14
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Xue Yalong¹,Xie Xiangdong¹^ORCID,Lin Qifa¹,Chen Fengde²^ORCID

Affiliation:

1. College of Mathematics and Physics, Ningde Normal University, Ningde, Fujian 352100, China

2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, China

Abstract

A nonautonomous discrete two-species competition system with infinite delays and single feedback control is considered in this paper. Based on the discrete comparison theorem, a set of sufficient conditions which guarantee the permanence of the system is obtained. Then, by constructing some suitable discrete Lyapunov functionals, some sufficient conditions for the global attractivity and extinction of the system are obtained. It is shown that, by choosing some suitable feedback control variable, one of two species will be driven to extinction.

Funder

Ningde Normal University

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2018/1893181.pdf

Reference20 articles.

1. Competition between species: Theoretical models and experimental tests

2. Stability and Oscillations in Delay Differential Equations of Population Dynamics

3. Extinction in two species nonautonomous nonlinear competitive system

4. Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances

5. Permanence in a discrete Lotka–Volterra competition model with deviating arguments

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. BIFURCATION ANALYSIS OF AN ALLELOPATHIC PHYTOPLANKTON MODEL;Journal of Biological Systems;2023-08-03

2. Permanence and Global Attractivity of a Non-autonomous Single Species System with Michaelis-Menten-Type Feedback Control;WSEAS TRANSACTIONS ON SYSTEMS;2023-05-22

3. The Influence of Nonlinear Cannibalism to Logistic Equation;International Journal of Computational and Applied Mathematics & Computer Science;2023-04-10

4. A New Formulation of the Single Species Feedback Control System;2023 International Conference on Control, Artificial Intelligence, Robotics & Optimization (ICCAIRO);2023-04

5. Global stability of Leslie-Gower Predator-prey Model with Density Dependent Birth Rate on Prey Species and Prey Refuge;WSEAS TRANSACTIONS ON SYSTEMS;2023-02-28