Journal
SPRINGERPLUS
Volume 5, Issue -, Pages -Publisher
SPRINGER INT PUBL AG
DOI: 10.1186/s40064-016-2507-8
Keywords
Group-invariant solutions; Travelling wave solutions; Metabolism
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In this paper we investigate the existence of travelling wave solutions for a chemotaxis model under the scenarios of zero growth and constant growth rate. We use Lie symmetry analysis to generate generalized travelling wave solutions, a wider class of solutions than that obtained from the standard ansatz. Unlike previous approaches, we allow for diffusivity and signal degradation. We study the influence of cell growth, diffusivity and signal degradation on the behaviour of the system. We apply realistic boundary conditions to explicitly provide biologically relevant solutions. Our results generalize known results.
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