AGGREGATING PATTERN DYNAMICS IN A CHEMOTAXIS MODEL INCLUDING GROWTH

Authors
MIMURA M TSUJIKAWA T
Citation
M. Mimura et T. Tsujikawa, AGGREGATING PATTERN DYNAMICS IN A CHEMOTAXIS MODEL INCLUDING GROWTH, Physica. A, 230(3-4), 1996, pp. 499-543
Citations number
22
Categorie Soggetti
Physics
Journal title
Physica. A → ACNP
ISSN journal
03784371
Volume
230
Issue
3-4
Year of publication
1996
Pages
499 - 543
Database
ISI
SICI code
0378-4371(1996)230:3-4<499:APDIAC>2.0.ZU;2-A
Abstract
A population model including diffusion, chemotaxis and growth is studi ed. 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 i ndividuals and show the conditions for the existence and stability of radially symmetric equilibrium solutions of the equation, which indica te the aggregation of individuals.