Spiky Steady States of A Chemotaxis Model with Singular Sensitivity

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：lvxinjj

【摘要】

：

　　We study positive steady states of a chemotaxis system with singular sensitivity in 1-D.Using the chemotactic coefficient as a bifurcation parameter,with an

【作者】

：

LiHuicong;

【机构】

：

East China Normal Univ.

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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　　We study positive steady states of a chemotaxis system with singular sensitivity in 1-D.Using the chemotactic coefficient as a bifurcation parameter,with an application of the local and global bifurcation theory,we establish pattern formation in the system provided the parameter is large.Asymptotic behavior of the solutions is also investigated,as the chemotactic coefficient goes to infinity.The existence of spiky steady states is shown by using Helly' s compactness theorem.

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Spiky Steady States of A Chemotaxis Model with Singular Sensitivity

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