| 一个趋化性模型非常数平衡解的存在性 |
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| 引用本文： | 徐茜,崔菊连,戈西元. 一个趋化性模型非常数平衡解的存在性[J]. 纯粹数学与应用数学, 2015, 0(2): 122-128. DOI: 10.3969/j.issn.1008-5513.2015.02.002 |
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| 作者姓名： | 徐茜 崔菊连 戈西元 |
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| 作者单位： | 北京联合大学基础部,北京,100101 |
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| 基金项目： | 国家自然科学基金，北京市自然科学基金，北京市教委科技计划项目 |
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| 摘 要： | 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.
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| 关 键 词： | 趋化性模型 平衡解 局部分岔 |
The existence of non-constant steady states of a chemotaxis model |
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| Xu Qian,Cui Julian,Ge Xiyuan. The existence of non-constant steady states of a chemotaxis model[J]. Pure and Applied Mathematics, 2015, 0(2): 122-128. DOI: 10.3969/j.issn.1008-5513.2015.02.002 |
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| Authors: | Xu Qian Cui Julian Ge Xiyuan |
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| Affiliation: | Xu Qian;Cui Julian;Ge Xiyuan;Department of basic courses, Beijing Union University; |
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| Abstract: | 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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| Keywords: | chemotaxis model steady state local bifurcation |
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