Bifurcation analysis of modified Leslie–Gower predator–prey model with Michaelis–Menten type prey harvesting
نویسندگان
چکیده
منابع مشابه
Hopf Bifurcation Analysis for a Modified Time-Delay Predator-Prey System with Harvesting
In this paper, we consider the direction and stability of time-delay induced Hopf bifurcation in a delayed predator-prey system with harvesting. We show that the positive equilibrium point is asymptotically stable in the absence of time delay, but loses its stability via the Hopf bifurcation when the time delay increases beyond a threshold. Furthermore, using the norm form and the center manifo...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2013
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.08.057