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Multi-components chemotactic system in the absence of conflicts

Published online by Cambridge University Press:  12 December 2002

G. WOLANSKY
G. WOLANSKY
Affiliation:
Department of Mathematics, Technion, Haifa 32000, Israel email: [email protected]
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Abstract

A generalization of the Keller–Segel model for chemotactic systems is studied. In this model there are several populations interacting via several sensitivity agents in a two-dimensional domain. The dynamics of the population is determined by a Fokker–Planck system of equations, coupled with a system of diffusion equations for the chemical agents. Conditions for global existence of solutions and equilibria are discussed, as well as the possible existence of time-periodic attractors. The analysis is based on a variational functional associated with the system.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 13 , Issue 6 , December 2002 , pp. 641 - 661
Copyright
2002 Cambridge University Press

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