Global Stability and Hopf Bifurcation for Gause-Type Predator-Prey System
نویسندگان
چکیده
منابع مشابه
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 system 2005 , to give the global stability of the equilibrium. Secondly, we analyze the stability...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2012
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2012/260798