American Institute of Mathematical Sciences

March  2015, 14(2): 383-396. doi: 10.3934/cpaa.2015.14.383

Global solutions of a Keller--Segel system with saturated logarithmic sensitivity function

 1 Department of Mathematics, Southwestern University of Finance and Economics, 555 Liutai Ave, Wenjiang, Chengdu, Sichuan 611130

Received  November 2013 Revised  September 2014 Published  December 2014

We study a Keller-Segel type chemotaxis model with a modified sensitivity function in a bounded domain $\Omega\subset \mathbb{R}^N$, $N\geq2$. The global existence of classical solutions to the fully parabolic system is established provided that the ratio of the chemotactic coefficient to the motility of cells is not too large.
Citation: Qi Wang. Global solutions of a Keller--Segel system with saturated logarithmic sensitivity function. Communications on Pure & Applied Analysis, 2015, 14 (2) : 383-396. doi: 10.3934/cpaa.2015.14.383
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References:
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