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 ξ_{i} is interpreted as wind turbulence.

Contributed by: Michael Trott with permission of Springer