Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (4): 475-484.

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Anti-control of Hopf Bifurcation in a Delayed Predator-prey Gompertz Model

  

  1. 1. Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guizhou University of Finance and Economics 2. Faculty of Science Hunan Institute of Engineering
  • Received:2011-08-24 Online:2013-12-30 Published:2023-02-14
  • About author:XU Chang-jin(1970-), male, native of Huihua, Guizhou, a professor of Guizhou University of Finance and Economics, Ph.D., engages in stability and bifurcation theory of delayed differential equations.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11261010)； Supported by the Soft Science and Technology Program of Guizhou Province(2011LKC2030)； Supported by the Natural Science and Technology Foundation of Guizhou Province(J[2012]2100)； Supported by the Governor Foundation of Guizhou Province([2012]53)； Supported by the Doctoral Foundation of Guizhou University of Finance and Economics(2010)； Supported by the Science and Technology Program of Hunan Province(2010FJ6021)

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Abstract: A delayed predator-prey Gompertz model is investigated. The stability is analyzed. Anti-control of Hopf bifurcation for the model is presented. Numerical simulations are performed to confirm that the new feedback controller using time delay is efficient in creating Hopf bifurcation. Finally, main conclusions are included.

Key words: predator-prey model, stability, Hopf bifurcation, delay, anti-control

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