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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:
$$\begin{eqnarray*}
\frac{d Prey}{dt}&=&r\cdot Prey - g\cdot Pred\cdot Prey\\
\frac{d Pred}{dt}&=&c\cdot g\cdot Pred\cdot Prey - m\cdot Pred
\end{eqnarray*}
$$
richard.salter@novamodeler.com
Last modified: Fri Jul 8 13:25:07 EDT 2016