Stability and Hopf Bifurcation Analysis on a Numerical Discretization of the Distributed Delay Equation
作者机构：College of Mechatronics and Control EngineeringHubei Normal UniversityHuangshi 435002
出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)
年 卷 期：2012年第29卷第5期
页 面：7-10页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：Supported by the National Natural Science Foundation of China under Grant Nos 61100076 and 60973012 the Foundation of Department of Education of Hubei Province under Grant D20102504
主 题：parameter. value. Hopf
摘 要：A kind of discrete logistic model with distributed delays obtained by the Euler method is investigated,where the discrete delay Τ is regarded as a *** analyzing the associated characteristic equation,it is found that the stability of the positive equilibrium and Hopf occurs when Τ crosses some critical *** the explicit formulae which determine the stability,direction and other properties of the bifurcating periodic solution are derived by using the theory of normal form and center ***,numerical simulations are performed to verify and illustrate the analytical results.
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