Stability and Hopf Bifurcation in Delayed Predator-Prey System with Ratio Dependent

Yuan Yuan

doi:10.4028/www.scientific.net/AMM.687-691.655

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 687-691Stability and Hopf Bifurcation in Delayed...

Stability and Hopf Bifurcation in Delayed Predator-Prey System with Ratio Dependent

Abstract:

A delayed predator-prey model with stage structure for predator and ratio dependent response function is considered. By calculating characteristic equations and analyzing characteristic roots, the sufficient conditions for local stability of all the equilibria and Hopf bifurcation are obtained. Moreover, We use an iteration technique and comparison arguments to derive the sufficient conditions of the global stability of the boundary and positive equilibrium.

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Periodical:

Applied Mechanics and Materials (Volumes 687-691)

Pages:

655-660

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.687-691.655

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Online since:

November 2014

Authors:

Yuan Yuan

Keywords:

Hopf Bifurcation, Predator-Prey System, Ratio Dependent, Stability, Time Delay

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References

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