Bifurcation structures for Keller-Segel chemotaxis model

doi:10.3778/j.issn.1002-8331.1609-0230

Computer Engineering and Applications ›› 2018, Vol. 54 ›› Issue (3): 64-67.DOI: 10.3778/j.issn.1002-8331.1609-0230

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Bifurcation structures for Keller-Segel chemotaxis model

GAO Haiyan

School of Statistics, Lanzhou University of Finance and Economics, Lanzhou 730020, China

Online:2018-02-01 Published:2018-02-07

一类Keller-Segel趋化模型的分支结构

高海燕

兰州财经大学统计学院，兰州 730020

Abstract

Abstract: Using the local bifurcation method, the existence of local bifurcation branches of stationary solutions for a nonlinear signal kinetics chemotaxis model with logistic growth is proved in [?2]. Meanwhile, the directions of the branches near the bifurcation points are obtained.

Key words: chemotaxis model, nonlinear signal kinetics, bifurcation, pattern formation

摘要： 应用局部分支方法，讨论一类带Logistic源项的具有非线性信号动力学趋化模型在二维空间中局部分支解的存在性，并且在分支点附近确定分支方向。

关键词: 趋化模型, 非线性信号动力学, 分支, 斑图生成

GAO Haiyan. Bifurcation structures for Keller-Segel chemotaxis model[J]. Computer Engineering and Applications, 2018, 54(3): 64-67.

高海燕. 一类Keller-Segel趋化模型的分支结构[J]. 计算机工程与应用, 2018, 54(3): 64-67.

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Bifurcation structures for Keller-Segel chemotaxis model

一类Keller-Segel趋化模型的分支结构

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