Aggregating pattern dynamics in a chemotaxis model including growth

Masayasu Mimura and Tohru Tsujikawa

Physica A: Statistical Mechanics and its Applications, 1996, vol. 230, issue 3, 499-543

Abstract: 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.

Keywords: Chemotaxis; Localized pattern; Interface equation; Singular perturbation (search for similar items in EconPapers)
Date: 1996
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:230:y:1996:i:3:p:499-543

DOI: 10.1016/0378-4371(96)00051-9

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