带时滞的草—鼠模型  

A Grass-rodent Model with Delay

作　　者：张振宇[1] 张凤琴[2] 

机构地区：[1]中北大学理学院,太原030051 [2]运城学院应用数学系,山西运城044000

出　　处：《运城学院学报》2012年第5期16-19,共4页Journal of Yuncheng University

基　　金：国家自然科学基金项目(11071283);山西省重点学科项目(20111030)

摘　　要：建立了一类带有时滞的草-鼠模型,利用特征方程、Hurwitz判据和Bendixson-Dulac定理等,研究了该模型平衡点的存在性及稳定性,并给出了一列Hopf分支值,其次利用中心流行定理和正规型方法,给出确定分支周期性及分支方向的结论。A grass - rodent model with time delay was established. The existence and stability of the equi- libriums were investigated by using the characteristic equations, Hurwitz criterion, Bendixson - Dulac theorem etc. , and a list values of Hopf bifurcation was given. By using the center manifold theorem and normal form method, the conclusions which determined the periodicity and direction of bifurcation were obtained.

关 键 词：时滞 稳定性 HOPF分支 草-鼠模型 

分 类 号：O357.5[理学—流体力学]