BIFURCATION ANALYSIS OF A MITOTIC MODEL OF FROG EGGS  

作　　者：吕金虎 张子范 张锁春 

机构地区：[1]Institute of Systems Science,Academy of Mathematics and System Sciences,Chinese Academy of Sciences [2]Institute of Applied Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第3期284-297,共14页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 1 0 1 71 0 99) ;K .C .WongEducationFoundation ,HongKong

摘　　要：The mitotic model of frog eggs established by Borisuk and Tyson is qualitatively analyzed.The existence and stability of its steady states are further discussed.Furthermore,the bifurcation of above model is further investigated by using theoretical analysis and numerical simulations. At the same time, the numerical results of Tyson are verified by theoretical analysis.The mitotic model of frog eggs established by Borisuk and Tyson is qualitatively analyzed.The existence and stability of its steady states are further discussed.Furthermore,the bifurcation of above model is further investigated by using theoretical analysis and numerical simulations. At the same time, the numerical results of Tyson are verified by theoretical analysis.

关 键 词：MITOSIS steady state periodic solution supercritical bifurcation subcritical bifurcation 

分 类 号：O175.1[理学—数学]