动脉粥样硬化模型平衡解的研究  

Research on steady-state solutions for a atherosclerosis initiation model

作　　者：刘雯[1] 李艳玲[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2013年第4期468-473,485,共7页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10971124);教育部高等学校博士点专项基金资助项目(200807180004)

摘　　要：利用特征值原理、稳定性理论和局部分歧理论,研究了一类炎症性病变的动脉粥样硬化模型.讨论了该模型的非负常数平衡解的稳定性,以d2为分歧参数研究了其发自常数平衡解Ul的局部分歧,得到非常数平衡解的存在性.By eigenvalue principle, stability theory and local bifurcation theory, a atherosclerosis initiation- model were investigated. The stability of the non-negative constant steady-state solutions were dis- cussed. Then based on treating d2 as the bifurcation parameter, the local bifurcation from the constant steady-state solution Ul was studied and the existence of the non-constant steady-state solutions were es- tablished.

关 键 词：动脉粥样硬化 稳定性 分歧 

分 类 号：O175.26[理学—数学]