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Traveling wave solutions for a bacteria system with density-suppressed motility
2017
Discrete and continuous dynamical systems. Series B
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In 2011, Liu et. al. proposed a three-component reaction-diffusion system to model the spread of bacteria and its signaling molecules (AHL) in an expanding cell population. At high AHL levels the bacteria are immotile, but diffuse with a positive diffusion constant at low distributions of AHL. In 2012, Fu et. al. studied a reduced system without considering nutrition and made heuristic arguments about the existence of traveling wave solutions. In this paper we provide rigorous proofs of the
doi:10.3934/dcdsb.2018213
fatcat:47q7hpx5ijf4ve4oki5qhgtksa