Hopf bifurcation and global stability of a diffusive Gause-type predator–prey models
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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and Applied Analysis 3 a stable equilibrium to be unstable and induce bifurcations as well as periodic oscillations. Under the hypothesis that prey x t has a gestation in 1.1 , we modify it to be the following one: dx t dt xg x − yp x − τ , dy t dt y −h ep x ] − zqy, dz t dt z −s mqy, 1.3 where τ is the time of gestation. The purpose of current work is to analyze the effect of delay on the dyna...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2016
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2016.09.022