Predator-Prey Model

Description:

     Models the effect of an interaction between a predator and prey species (e.g., foxes and rabbits) on the popuation number of each.

Version:

     Last modified 2002-11-26.

Authors:

     J.M. Kootsey, G. McAuley.

Equations:

     State:

     State


Parameters:

NameUnitsDefault ValueDescription
preyReproRate1/prey*hr0.2Fractional reproductive rate of prey
predKillRate1/pred*prey*hr0.005Kills per predator per prey
assimFract1/killRate*prey*pred*hr0.15Determines growth of predators
predDeathRate1/pred*hr0.3Fractional death rate of predators
prey_0each1000Initial number of prey
pred_0each50Initial number of predators

Independent Variable:

NameUnitsInitial ValueDescription
timehr0Time in hours

State Variables:

NameUnitsInitial ValueDescription
preyeach1000Number of prey
predeach50Number of predators

Assigned Variables:

NameUnitsInitial ValueDescription
delPrey#/hrRate of change of prey
delPred#/hrRate of change of predators

References:

     This model was proposed in 1925 by Alfred Lotka and Vito Volterra.

© Loma Linda University, 2004.  All rights reserved.