Stability Analysis of Equilibrium Point of Population Competitive Model

DOI

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.

Copyright

© 2016, 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/).

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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  - Proceedings of the 2016 International Conference on Education, Management and Computer Science
PB  - Atlantis Press
SP  - 540
EP  - 544
SN  - 1951-6851
UR  - https://doi.org/10.2991/icemc-16.2016.111
DO  - 10.2991/icemc-16.2016.111
ID  - Ouyang2016/05
ER  -