一类活化基质模型非常数正平衡解的全局结构  

Global structure of nonconstant steady-state solutions for activator-substrate system

作　　者：魏美华[1] 常金勇[2] 马崛[1] 

机构地区：[1]榆林学院数学与统计学院,陕西榆林719000 [2]中国科学院信息工程研究所,北京100093

出　　处：《计算机工程与应用》2014年第18期50-53,78,共5页Computer Engineering and Applications

基　　金：国家自然科学基金(No.11271236);陕西省教育厅科研计划资助项目(No.14JK1862);榆林学院博士科研启动基金项目(No.13GK04)

摘　　要：在一维空间上,研究一类带Neumann边界条件的活化基质模型。以扩散系数d1为分歧参数,运用分歧理论和度理论研究该模型常数平衡解的局部分歧和全局分歧,利用数值模拟得以证实。理论结果表明非常数平衡解分支延伸向无穷,这是已有工作的继续。An activator-substrate system under Neumann boundary condition is considered in one-dimensional space. Taking the diffusion coefficient d1 as bifurcation parameter, the local and global bifurcation of constant steady-state solution are studied by bifurcation theory and degree theory. Moreover, the theoretical results are confirmed by numerical simulations, and also continue the previous work. It is shown that the nonconstant steady-state branches join up with infinity.

关 键 词：活化基质模型 分歧 平衡解 全局结构 

分 类 号：O175.26[理学—数学]