A mathematical analysis of a fish school model |
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| Authors: | M. Adioui O. Arino J.P. Treuil |
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| Affiliation: | a GEODES-IRD 32, Avenue Henri Varagnat, F-93143 Bondy, Cedex, France
b Mathematics Department, Brigham Young University Provo, UT 84602, USA |
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| Abstract: | A model proposed in the literature for fish schools of relatively large size is studied for mathematical and qualitative properties. Existence, uniqueness and positivity of solutions are established and bifurcation properties relative to diffusion and alignment parameters are studied. |
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| Keywords: | Schooling Alignment Diffusion Stability Bifurcation Variance Operator semigroups |
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