Proceedings of the 2016 International Conference on Education, Management and Computer Science

Stability Analysis of Equilibrium Point of Population Competitive Model

Authors
Yun Ouyang, Kexin Yuan, Wusheng Wang
Corresponding Author
Yun Ouyang
Available Online May 2016.
DOI
https://doi.org/10.2991/icemc-16.2016.111How to use a DOI?
Keywords
Two species competitive model; Equilibrium points; Stability; Matlab program; Graphics of phase trajectory
Abstract
In this paper, the stability of equilibrium points of two species competitive model are studied. On the base of logistic model, the competitive model of two species living in the same natural environment is considered. Firstly, the four equilibrium points of the two species competition model are given, and then stability of each equilibrium point is judged by ordinary differential equation stability theory. Secondly, according to the characteristics of the model, the phase plane is divided into several regions. Finally, matlab programs are wrote, and the numerical solutions of two species competition model are obtained for several different initial conditions, and the graphics of corresponding phase trajectory are drew, and the stability of equilibrium points are analyzed.
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Proceedings
2016 International Conference on Education, Management and Computer Science
Part of series
Advances in Intelligent Systems Research
Publication Date
May 2016
ISBN
978-94-6252-202-2
ISSN
1951-6851
DOI
https://doi.org/10.2991/icemc-16.2016.111How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Yun Ouyang
AU  - Kexin Yuan
AU  - Wusheng Wang
PY  - 2016/05
DA  - 2016/05
TI  - Stability Analysis of Equilibrium Point of Population Competitive Model
BT  - 2016 International Conference on Education, Management and Computer Science
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/icemc-16.2016.111
DO  - https://doi.org/10.2991/icemc-16.2016.111
ID  - Ouyang2016/05
ER  -