Stability and Hopf Bifurcation of Delayed Predator-Prey System Incorporating Harvesting
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A kind of delayed predator-prey system with harvesting is considered in this paper. The influence of harvesting and delay is investigated. Our results show that Hopf bifurcations occur as the delayτpasses through critical values. By using of normal form theory and center manifold theorem, the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are obtained. Finally, numerical simulations are given to support our theoretical predictions.
2013 ◽
Vol 23
(12)
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pp. 1350194
2005 ◽
Vol 15
(09)
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pp. 2883-2893
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2014 ◽
Vol 926-930
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pp. 3314-3317
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2012 ◽
Vol 2012
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pp. 1-17
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