Self-organization analysis for a nonlocal convective Fisher equation

Using both an analytical method and a numerical approach we have investigated pattern formation for a nonlocal convective Fisher equation with constant and spatial velocity fields. We analyze the limits of the influence function due to nonlocal interaction and we obtain the phase diagram of critical...

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Bibliographic Details
Published in:Physics letters. A 2009-02, Vol.373 (6), p.661-667
Main Authors: da Cunha, J.A.R., Penna, A.L.A., Vainstein, M.H., Morgado, R., Oliveira, F.A.
Format: Article
Language:English
Subjects:
Convective Fisher equation
Nonlocal interaction
Patter formation
Population dynamics
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Summary:Using both an analytical method and a numerical approach we have investigated pattern formation for a nonlocal convective Fisher equation with constant and spatial velocity fields. We analyze the limits of the influence function due to nonlocal interaction and we obtain the phase diagram of critical velocities v c as function of the width μ of the influence function, which characterize the self-organization of a finite system.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2008.12.034