摘要
研究了一类具有连续时滞与离散时滞的单种群干扰模型的稳定性与Hopf分支问题。首先利用特征值理论得到平衡态局部渐近稳定的充要条件;再以时滞τ为参数,给出了Hopf分支的存在性及分支值处模型平衡态的稳定性的条件;最后举例验证了定理的条件和结论的可实现性,利用M atlab得到其参数取不同数值时的曲线拟合图。
The stability and Hopf bifurcation for a class of ecological model with continuous and discrete delays of interference are investigated. Sufficient and necessary conditions of the asymptotically stability are obtained by using the theory of characteristic value. Furthermore, regarding the delay τ as a parameter, given conditions of the existence of Hopf bifurcation and the stability of model at τo . Finally, some examples together with their numerical simulations show the feasibility of our main resulte, Fitting maps about various parameters with their value are presented by using Matlab.
出处
《云南师范大学学报（自然科学版）》
2009年第4期16-21,共6页
Journal of Yunnan Normal University:Natural Sciences Edition
基金
国家自然科学基金资助项目(10871122)
国家自然科学基金资助项目(60671063)
