计算机工程与应用2011，Vol.47Issue(21)：31-34,4.DOI:10.3778/j.issn.1002-8331.2011.21.008
广义Logistic模型的Hopf分支与计算机仿真
Hopf bifurcation of general Logistic and computer simulation
摘要
Abstract
The Hopf bifurcation periodic solution of a class of general logistic model with time delay, disturb and yield rate is discussed.The necessary and sufficient condition for the existence and uniqueness of the positive equilibrium is obtainedThe condition for the existence of bifurcation period solution is obtained by the Eigen value theory;the form of approximate period solution is derived by the orthogonal condition;fitted curve figures are achieved by Matlab,when parameters are assigned different values.The effect of parameters on the period,swing,and position equilibrium of the periodic solution are discussed.关键词
Logistic模型/时滞/收获率/Hopf分支/周期解Key words
Logistic model/time delay/yield rate/Hopf bifurcation/periodic solution分类
数理科学引用本文复制引用
任菲,陈斯养..广义Logistic模型的Hopf分支与计算机仿真[J].计算机工程与应用,2011,47(21):31-34,4.基金项目
国家自然科学基金(the National Natural Science Foundation of China under Grant No.10871122,No.60671063). （the National Natural Science Foundation of China under Grant No.10871122,No.60671063）
