Using techniques of swarm modeling, it is possible to make a somewhat unrealistic model of firefly behavior.
Concretely, the following differential equations that describe the velocity change of firefly
in a swarm of
fireflies are solved in a discrete time-step approximation.
For a swarm of fireflies, the parameters
and
are the interaction strengths,
and
are the correlation lengths, α and β are the interaction power laws,
is the air resistance, and the random variable
ξi is interpreted as wind turbulence.
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