Extinction in Two-Species Nonlinear Discrete Competitive System-Reference-Cited by-同舟云学术

Extinction in Two-Species Nonlinear Discrete Competitive System

Published:2016 Issue: Volume:2016 Page:1-10
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Pu Liqiong¹,Xie Xiangdong²,Chen Fengde²,Miao Zhanshuai¹

Affiliation:

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

2. Department of Mathematics, Ningde Normal University, Ningde, Fujian 352300, China

Abstract

We propose a nonlinear discrete system of two species with the effect of toxic substances. By constructing a suitable Lyapunov-type function, we obtain the sufficient conditions which guarantee that one of the components will be driven to extinction while the other will be globally attractive with any positive solution of a discrete equation. Two examples together with their numerical simulations illustrate the feasibility of our main results. The results not only improve but also complement some known results.

Funder

Natural Science Foundation of Fujian Province

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2016/2806405.pdf

Reference26 articles.

1. Extinction in two dimensional nonautonomous Lotka–Volterra systems with the effect of toxic substances

2. Extinction in a discrete Lotka–Volterra competitive system with the effect of toxic substances and feedback controls

3. Permanence and global attractivity for discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls

Cited by 11 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. Stability and bifurcation analysis of two-species competitive model with Michaelis–Menten type harvesting in the first species;Advances in Difference Equations;2020-08-04

3. Dynamic behaviors of a two-species competitive system with nonlinear inter-inhibition terms and infinite delay;Journal of Mathematics and Computer Science;2020-03-21

4. Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting;Open Mathematics;2019-07-31

5. Dynamic behaviors of a nonlinear amensalism model;Advances in Difference Equations;2018-05-18