摘要
讨论了具有时滞干扰放养的广义Logistic模型的正平衡态的稳定性及Hopf分支问题,利用特征值理论得到系统产生Hopf分支的条件,用周期函数正交性方法得到了近似分支周期解的表达式,举例验证了数值计算和理论分析的一致性。
Hopf bifurcation of a delayed Logistic model are investigated.By using the theory of eigenvalues,some conditions under which a sequence of Hopf bifurcations occur at the positive equilibrium are obtained.The form of the approximate bifurcation periodic solutions are derived by the orthogonal method.Some examples are also given.
出处
《科学技术与工程》
2010年第30期7371-7379,7388,共10页
Science Technology and Engineering
基金
国家自然科学基金项目(10871122
60671063)资助
关键词
时滞生态模型
稳定性
HOPF分支
放养率
ecological model of delay stability Hopf bifurcation stocking rate
