This paper is devoted to investigating quantitatively the ODE model
for fish schooling which was introduced in the paper [15]. First, we will study how
each parameter in the model equations contributes to the geometrical structure of the
school created by fish such as school diameter, connectedness, graph, etc. Second,
we will concentrate on studying effects of the noise imposed to the model equations.
In particular, it will be shown that, if the noise’s magnitude is larger than a certain
threshold, then fish can no longer form a school.
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