| 一类趋化性生物模型行波解的存在性 |
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| 引用本文： | 黎勇.一类趋化性生物模型行波解的存在性[J].应用数学学报,2004,27(1):123-131. |
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| 作者姓名： | 黎勇 |
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| 作者单位： | 首都师范大学数学系,北京,100037;中国科学院数学与系统科学研究院,北京,100080 |
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| 基金项目： | 北京市自然科学基金(1992002号)资助项目. |
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| 摘 要： | 我们研究了一类趋化性(Chemotaxis)生物模型在不同情形下行波解的存在性.对D=0的一些情形,利用相平面分析的方法得到了行波解存在的充分必要条件;对D>0的一些情形得到了行波解的存在性,改进了Nagai和Ikeda原有的结果.
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| 关 键 词： | 趋化性生物模型 行波解 存在性 幂函数 唯一性 偏微分方程 |
THE EXISTENCE OF TRAVELLING WAVES IN A BIOLOGICAL MODEL FOR CHEMOTAXIS |
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| LI YONG.THE EXISTENCE OF TRAVELLING WAVES IN A BIOLOGICAL MODEL FOR CHEMOTAXIS[J].Acta Mathematicae Applicatae Sinica,2004,27(1):123-131. |
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| Authors: | LI YONG |
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| Abstract: | We study the existence of travelling wave solutions in a biological model for chemotaxis in a bacteria-substrate mixture which was first proposed by Keller and Segel, where the coefficients are of the form of power functions. For the case D = 0, we give a complete proof of the necessary and sufficient conditions for the existence of travelling wave solutions by the phase plane method. The existence of travelling wave solutions is also considered for the case D > 0, and we extend the results of Nagai and Ikeda to a more general case. |
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| Keywords: | Chemotaxis travelling waves existence phase plane |
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