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- W2355481396 abstract "A predator-prey model with harvesting and a time delay describing the gestation period of the predator is considered. We investigate the local stability of a positive equilibrium by analyzing the corresponding characteristic equation. It is proved that when the time delay τ increases, the positive equilibrium looses its stability and a Hopf bifurcation occurs when τ passes through a critical value. Formula are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory and the center manifold theorem. Numerical simulations are carried out to illustrate theoretical results." @default.
- W2355481396 created "2016-06-24" @default.
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- W2355481396 date "2010-01-01" @default.
- W2355481396 modified "2023-09-23" @default.
- W2355481396 title "Stability and Hopf Bifurcation of a Predator-prey Model with Time Delay and Harvesting" @default.
- W2355481396 hasPublicationYear "2010" @default.
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