A Note on Hopf Bifurcation and Steady State Analysis for a Predator-Prey Model
A Note on Hopf Bifurcation and Steady State Analysis for a Predator-Prey Model
This paper is concerned with the Hopf bifurcation and steady state analysis of a predator-prey
model. Firstly, by analyzing the characteristic equation, the local stability of the nonnegative equilibriums
is discussed. Then the Hopf bifurcation around the positive equilibrium is obtained, and the direction
and the stability of the Hopf bifurcation are investigated. Finally, some numerical simulations are given to
support the theoretical results.
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