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Lotka-Volterra Model

About this model

Standard Lotka-Volterra equations ($x$ represents size of prey population; $y$ represents size of predator population): $$\begin{eqnarray*} \frac{dx}{dt}&=&x(\alpha - \beta y)\\ \frac{dy}{dt}&=&-y(\gamma - \delta x) \end{eqnarray*} $$ Equations used by this version of the Lotka-Volterra model: $$\begin{eqnarray*} \frac{d Prey}{dt}&=&r\cdot Prey - g\cdot Pred\cdot Prey\\ \frac{d Pred}{dt}&=&c\cdot g\cdot Pred\cdot Prey - m\cdot Pred \end{eqnarray*} $$

Last modified: Fri Jul 8 13:25:07 EDT 2016