具有时滞的捕食龚帕兹模型的Hopf分支的反控制

数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 475-484.

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具有时滞的捕食龚帕兹模型的Hopf分支的反控制

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

收稿日期:2011-08-24 出版日期:2013-12-30 发布日期:2023-02-14
作者简介: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.
基金资助:
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)

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

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)

摘要/Abstract

摘要： 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.

关键词: predator-prey model, stability, Hopf bifurcation, delay, anti-control

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

中图分类号:

O175
O231.2

徐昌进, 陈大学. 具有时滞的捕食龚帕兹模型的Hopf分支的反控制[J]. 数学季刊, 2013, 28(4): 475-484.

XU Chang-jin, CHEN Da-xue. Anti-control of Hopf Bifurcation in a Delayed Predator-prey Gompertz Model[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 475-484.

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具有时滞的捕食龚帕兹模型的Hopf分支的反控制

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

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