A model for chemotaxis in a bacteria-substrate mixture introduced by Keller and Segel, which is described by nonlinear partial differential equations, is studied analytically. The existence of traveling waves is shown for the system in which the substrate diffusion is taken into account and the chem
Travelling waves in a model of species migration
โ Scribed by D.L. Feltham; M.A.J. Chaplain
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 350 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
Communicated by W. Alt
Abstraet--A model of species migration is presented which takes the form of a reaction-diffusion system. We consider special limits of this model in which we demonstrate the existence of travelling wave solutions. These solutions can be used to describe the migration of cells, bacteria, and some organisms.
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