A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple Delays

A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple Delays

The n-species Lotka-Volterra system with discrete delays is considered. The local asymptotic stability of positive equilibrium is investigated based on a contour integral method. The main purpose of this paper is to propose a new and general algorithm to study the local asymptotic stability of the p...

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Main Authors: Xiao-Ping Chen, Hao Liu
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2016/7920482
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spelling doaj-0466a1dff07746c1ace301824b663f762020-11-24T21:17:05ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472016-01-01201610.1155/2016/79204827920482A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple DelaysXiao-Ping Chen0Hao Liu1College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaCollege of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaThe n-species Lotka-Volterra system with discrete delays is considered. The local asymptotic stability of positive equilibrium is investigated based on a contour integral method. The main purpose of this paper is to propose a new and general algorithm to study the local asymptotic stability of the positive equilibrium for the n-dimensional Lotka-Volterra system. Some numerical experiments are carried out to show the effectiveness of the proposed method.http://dx.doi.org/10.1155/2016/7920482
collection DOAJ
language English
format Article
sources DOAJ
author Xiao-Ping Chen
Hao Liu
spellingShingle Xiao-Ping Chen
Hao Liu
A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple Delays
Mathematical Problems in Engineering
author_facet Xiao-Ping Chen
Hao Liu
author_sort Xiao-Ping Chen
title A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple Delays
title_short A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple Delays
title_full A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple Delays
title_fullStr A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple Delays
title_full_unstemmed A Novel Method to Determine the Local Stability of the n-Species Lotka-Volterra System with Multiple Delays
title_sort novel method to determine the local stability of the n-species lotka-volterra system with multiple delays
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2016-01-01
description The n-species Lotka-Volterra system with discrete delays is considered. The local asymptotic stability of positive equilibrium is investigated based on a contour integral method. The main purpose of this paper is to propose a new and general algorithm to study the local asymptotic stability of the positive equilibrium for the n-dimensional Lotka-Volterra system. Some numerical experiments are carried out to show the effectiveness of the proposed method.
url http://dx.doi.org/10.1155/2016/7920482
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AT haoliu anovelmethodtodeterminethelocalstabilityofthenspecieslotkavolterrasystemwithmultipledelays
AT xiaopingchen novelmethodtodeterminethelocalstabilityofthenspecieslotkavolterrasystemwithmultipledelays
AT haoliu novelmethodtodeterminethelocalstabilityofthenspecieslotkavolterrasystemwithmultipledelays
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