【摘要】 研究了一类具有时滞且含干扰和收获率的广义Logistic模型的Hopf分支问题.首先根据特征值理论得到该模型产生Hopf分支的条件;然后用周期函数正交性方法得到其近似分支周期解的表达式;最后举例验证了定理的可实现性,利用Matlab得到了参数取不同数值时的曲线拟合图,并讨论了参数对周期解的周期和振幅的影响.更多还原

【Abstract】 The Hopf bifurcation of a class of general Logistic model with time delay,disturb and yield rate is investigated.First of all,the condition for the existence of bifurcation period solution is obtained according to the eigenvalue theory.After that,the form of approximate period solution is derived by the orthogonal conditions.In the end,the achievability of the theorem is proved across appling examples.Fitted curve figures are achieved by using Matlab when asign the different values to the parameters,the effect of parameters on the amplitude of vibration and the period of the periodic solution are discussed.更多还原