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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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2016/7920482 |
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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 |
work_keys_str_mv |
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