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Global Periodic Solutions in a Delayed Predator-Prey System with Holling II Functional Response
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  • Journal title : Kyungpook mathematical journal
  • Volume 50, Issue 2,  2010, pp.255-266
  • Publisher : Department of Mathematics, Kyungpook National University
  • DOI : 10.5666/KMJ.2010.50.2.255
 Title & Authors
Global Periodic Solutions in a Delayed Predator-Prey System with Holling II Functional Response
Jiang, Zhichao; Wang, Hongtao; Wang, Hongmei;
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We consider a delayed predator-prey system with Holling II functional response. Firstly, the paper considers the stability and local Hopf bifurcation for a delayed prey-predator model using the basic theorem on zeros of general transcendental function, which was established by Cook etc.. Secondly, special attention is paid to the global existence of periodic solutions bifurcating from Hopf bifurcations. By using a global Hopf bifurcation result due to Wu, we show that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of delay. Finally, several numerical simulations supporting the theoretical analysis are given.
Time delay;Hopf bifurcation;Numerical simulations;
 Cited by
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