| Existence and Global Stability of Positive Equilibrium Point to a System of Differential Equations |
| Received:November 07, 2006 Revised:March 23, 2007 |
| Key Words:
food chain model positive steady-state stretching Liapunov function global asymptotical stability.
|
| Fund Project:the Scientific Research Project for Higher Education of Liaoning Education Department of?China (2005078). |
|
| Hits: 2029 |
| Download times: 1104 |
| Abstract: |
| This paper deals with an autonomous nonlinear system of differential equations. We obtain the existence-uniqueness of positive equilibrium point to the problem, and then establish the local stability and the global asymptotic stability of the positive equilibrium point by means of the stretching method and the Liapunove function method, respectively. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.04.026 |
| View Full Text View/Add Comment |
