Lokta-Volterra predator-prey dynamics model
James
Lawson
Auckland Bioengineering Institute, The University of Auckland
Model Status
This model is known to integrate to reproduce the desired results in COR and PCEnv. It is valid CellML and has consistent units.
Model Structure
The Lotka–Volterra equations, also known as the predator–prey equations, are a pair of first-order, non-linear, differential equations frequently used to describe the dynamics of biological systems in which two species interact, one a predator and one its prey. They were proposed independently by Alfred J. Lotka in 1925 and Vito Volterra in 1926. This model is parameterised as follows: x = 3, y = 6, A = 1, B = 1, C = 1, D = 1.
For more information on this model please see the Wikipedia entry on this subject
$\frac{d x}{d t}=Ax-Bxy\frac{d y}{d t}=Cy+Dxy$
10000
50
0.010
50
0.1
Lokta
Volterra
Predator-prey dynamics
keyword
predator-prey