SpruceBudworm:

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Extension

Spruce bud worm model equations

Source: SLUGens.sc

//SLUGens released under the GNU GPL as extensions for SuperCollider 3, by Nick Collins, http://composerprogrammer.com/index.html

One of a number found in A Brief History of Oscillators and Hair Styles of European Men AASU Math/CS Colloquium, April 2002.

Euler ODE solver implementation of a model of foliage and budworm density in Canadian forests ( a logistic model + predation).

x' = k1 x (1-x) - mu*y y' = k2 *y * (1 - (y/alpha*x)) - (rho * (y**2/(beta**2 * x**2 + y**2)))

All inputs can have .kr rate UGens plugged in.

Nonlinear oscillators can blow up, treat with caution.

reset |
If > 0.0, restart with new initial conditions sampled from initx, inity |

rate |
update rate for a sample step |

k1 |
equation constant |

k2 |
equation constant |

alpha |
equation constant |

beta |
equation constant |

mu |
equation constant |

rho |
equation constant |

initx |
reset value for x |

inity |
reset value for y |

helpfile source: /usr/local/share/SuperCollider/Extensions/SC3plugins/SLUGens/HelpSource/Classes/SpruceBudworm.schelp

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