Year: 2019
Author: Shaohua Wu, Haiying Chen
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 3 : pp. 269–280
Abstract
In this paper, we study a hyperbolic type chemotaxis model in one space dimension. We assume the speed is constant, the production and degradation of the external signal $s$ is given by \mbox{$-\beta s+f(u^++u^-)$,} where $f(u^++u^-)$ is the general form and $u^+, u^-$ depend on $s$. The existence of the weak solution of the model considered in the paper is obtained by the method of characteristics and the contraction mapping principle.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v32.n3.4
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 3 : pp. 269–280
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Chemotaxis model