Multi-species population models

Multi-species population models

Predator-prey interactions

$\displaystyle \frac{dV}{dt} = rV-{\alpha}VP$

(6)

$\displaystyle \frac{dP}{dt} = {\beta}VP-qP$

(7)

Derived independently by Lotka (1925) and Volterra (1928)

Predator-prey interactions

Image lotka-volterra

Hare-lynx interactions

Image population-hare-lynx

Wolf-moose interactions on Isle Royale

Image rav7_fig_08_06

Brian M Napoletano 2011-09-26