Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013, Special Issue (2013), Article ID 704320, 11 pages.
Hopf Bifurcation Control in a Delayed Predator-Prey System with Prey Infection and Modified Leslie-Gower Scheme
Hopf bifurcation of a delayed predator-prey system with prey infection and the modified Leslie-Gower scheme is investigated. The conditions for the stability and existence of Hopf bifurcation of the system are obtained. The state feedback and parameter perturbation are used for controlling Hopf bifurcation in the system. In addition, direction of Hopf bifurcation and stability of the bifurcated periodic solutions of the controlled system are obtained by using normal form and center manifold theory. Finally, numerical simulation results are presented to show that the hybrid controller is efficient in controlling Hopf bifurcation.
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 704320, 11 pages.
First available in Project Euclid: 26 February 2014
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Zhang, Zizhen; Yang, Huizhong. Hopf Bifurcation Control in a Delayed Predator-Prey System with Prey Infection and Modified Leslie-Gower Scheme. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 704320, 11 pages. doi:10.1155/2013/704320. https://projecteuclid.org/euclid.aaa/1393449400