Aggregating pattern dynamics in a chemotaxis model including growth

A population model including diffusion, chemotaxis and growth is studied. Assuming that the diffusion rate and the chemotactic rate are both very small compared with the growth rate, we derive a new equation to describe the time-evolution of the aggregating region of biological individuals and show the conditions for the existence and stability of radially symmetric equilibrium solutions of the equation, which indicate the aggregation of individuals.

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Year of publication:	1996
Authors:	Mimura, Masayasu ; Tsujikawa, Tohru
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 230.1996, 3, p. 499-543
Publisher:	Elsevier
Subject:	Chemotaxis \| Localized pattern \| Interface equation \| Singular perturbation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010587618