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arxiv: 1508.05597 · v2 · pith:AZ4GWUZJnew · submitted 2015-08-23 · 🧮 math.PR

An Ordinary Differential Equation Model for Fish Schooling

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keywords equationmodeldifferentialexistencefishglobalschoolingsome
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This paper presents a stochastic differential equation model for describing the process of fish schooling. The model equation always possesses a unique local solution, but global existence can be shown only in some particular cases. Some numerical examples show that the global existence may fail in general.

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