Generalized travelling wave solutions for hyperbolic chemotaxis PDEs
| Autor: | P.M. Tchepmo Djomegni, Keshlan S. Govinder |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
0301 basic medicine
Partial differential equation Group (mathematics) Applied Mathematics Mathematical analysis Chemotaxis Thermal diffusivity 01 natural sciences Quantitative Biology::Cell Behavior 010101 applied mathematics 03 medical and health sciences 030104 developmental biology Modeling and Simulation Traveling wave 0101 mathematics Diffusion (business) Mathematics |
| Zdroj: | Applied Mathematical Modelling. 40:5672-5688 |
| ISSN: | 0307-904X |
| DOI: | 10.1016/j.apm.2016.01.026 |
| Popis: | The chemotaxis of E. coli can be modelled via a system of partial differential equations. We apply group theoretical techniques to investigate the existence of travelling wave solutions for the hyperbolic chemotaxis model. Unlike previous approaches, we allow for the presence of the diffusivity terms, thereby maintaining the intrinsic second order terms of the diffusion equations in the model. We show, in the case of non starvation, that this model is still tractable. Explicit travelling wave solutions are determined. |
| Databáze: | OpenAIRE |
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