Global Stability and Hopf Bifurcation for Gause-Type Predator-Prey System
A class of three-dimensional Gause-type predator-prey model is considered. Firstly, local stability of equilibrium indicating the extinction of top-predator is obtained. Meanwhile, we construct a Lyapunov function, which is an extension of the Lyapunov functions constructed by Hsu for predator-prey...
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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Wiley
2012-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/260798 |
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