@Article{JPDE-32-269,
author = {Wu , Shaohua and Chen , Haiying},
title = {A Second-order Hyperbolic Chemotaxis Model},
journal = {Journal of Partial Differential Equations},
year = {2019},
volume = {32},
number = {3},
pages = {269--280},
abstract = {<p>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&nbsp; the method of characteristics and the contraction mapping principle.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v32.n3.4},
url = {http://global-sci.org/intro/article_detail/jpde/13342.html}
}