Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering

<Previous Article In Volume
Next Article In Volume>

A Stochastic Lotka-Volterra Competitive System With Feedback Controls

Authors
X.J. Dai, X.P. Li
Corresponding Author
X.J. Dai
Available Online July 2015.
DOI
10.2991/eame-15.2015.180How to use a DOI?
Keywords
feedback controls; competitive system; stochastic perturbation; extinction; stability in the mean
Abstract

In this paper, we consider an autonomous Lotka-Volterra competitive system with stochastic perturbation and feedback controls. Firstly, we show the existence, the uniqueness and the positivity of the solution. Secondly, under a simple assumption, sufficient conditions for stability in the mean and extinction of each population are established.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

<Previous Article In Volume
Next Article In Volume>
Volume Title
Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering
Series
Advances in Engineering Research
Publication Date
July 2015
ISBN
10.2991/eame-15.2015.180
ISSN
2352-5401
DOI
10.2991/eame-15.2015.180How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - X.J. Dai
AU  - X.P. Li
PY  - 2015/07
DA  - 2015/07
TI  - A Stochastic Lotka-Volterra Competitive System With Feedback Controls
BT  - Proceedings of the 2015 International Conference on Electrical, Automation and Mechanical Engineering
PB  - Atlantis Press
SP  - 656
EP  - 659
SN  - 2352-5401
UR  - https://doi.org/10.2991/eame-15.2015.180
DO  - 10.2991/eame-15.2015.180
ID  - Dai2015/07
ER  -