Stability and Global Hopf Bifurcation Analysis on a Ratio-Dependent Predator-Prey Model with Two Time Delays

Stability and Global Hopf Bifurcation Analysis on a Ratio-Dependent Predator-Prey Model with Two Time Delays

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A ratio-dependent predator-prey model with two time delays is studied.By means of an iteration technique, sufficient conditions are obtained for the global attractiveness of iphone 13 pro max price winnipeg the positive equilibrium.By comparison arguments, the global stability of the semitrivial equilibrium is addressed.By using the theory of functional equation and Hopf bifurcation, the conditions on which positive equilibrium exists and the quality of Hopf bifurcation are given.Using a global Hopf bifurcation result of Wu (1998) for functional differential swisse high strength magnesium powder berry equations, the global existence of the periodic solutions is obtained.

Finally, an example for numerical simulations is also included.