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

作　　者：XU Chang-jin CHEN Da-xue 

机构地区：[1]Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics,Guizhou University of Finance and Economics, Guiyang 550004 [2]Faculty of Science, HunanInstitute of Engineering, Xiangtan 411104, China)

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第4期475-484,共10页数学季刊（英文版）

基　　金：Foundation item： Supported by the National Natural Science Foundation of China（l1261010）; Supported by the Soft Science and Technology Program of Guizhou Province（2011LKC2030）; Suppored by the Natural Science and Technology Foundation of Guizhou Province（J[2012]2100）; Suppored by the Governor Foundation of Guizhou Province（[2012]53）; Suppored by the Doctoral Foundation of Guizhou University of Finance and Economics（2010）; Suppored by the Science and Technology Program of Hunan Province（2010FJ6021）

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 

分 类 号：O175[理学—数学]