Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839856 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 7 Pages |
Abstract
In this paper we study the non-existence of non-constant steady state (i.e., stationary pattern) for a Chemotaxis model with the volume-filling effect and logistic cell growth. We establish the critical value of the chemotactic coefficient between the existence and the non-existence of stationary pattern. The proofs mainly rely on the Maximum Principle, the Implicit Function Theorem and the Finite Covering Theorem. This work is a supplement and perfection of the known reference.
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Authors
Manjun Ma, Jiajia Hu, Jicheng Tao, Changqing Tong,