一个趋化性模型非常数平衡解的存在性
일개추화성모형비상수평형해적존재성
The existence of non-constant steady states of a chemotaxis model
  • 万方数据
    纯粹数学与应用数学 순수수학여응용수학
    PURE AND APPLIED MATHEMATICS
    2015年 2期 122-128 ,共7页

    徐茜%崔菊连%戈西元

    서천%최국련%과서원

    趋化性模型%平衡解%局部分岔 趨化性模型%平衡解%跼部分岔
    추화성모형%평형해%국부분차
    chemotaxis model%steady state%local bifurcation
    对带两个趋化性参数的趋化性模型平衡解的存在性问题进行研究。在参数满足特定的条件下，应用局部分岔理论得到非常数平衡解的局部分岔结构，从而证明了该趋化性模型存在无穷多个非常数正平衡解。
    대대량개추화성삼수적추화성모형평형해적존재성문제진행연구。재삼수만족특정적조건하，응용국부분차이론득도비상수평형해적국부분차결구，종이증명료해추화성모형존재무궁다개비상수정평형해。
    The existence of non-constant steady states of a chemotaxis model with two chemicals is studied. The local bifurcation structure of the non-constant steady states are obtained by local bifurcation theory when the parameters satisfy some certain conditions. Thus it is proved that there exist many non-constant positive steady states of this chemotaxis model.
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