- Author:
- James Lawson <j.lawson@auckland.ac.nz>
- Date:
- 2009-11-03 17:54:45+13:00
- Desc:
- added documentation
- Permanent Source URI:
- https://models.cellml.org/workspace/lokta_volterra/rawfile/0fb9b0eb1a2753927f057e78e0244695ab86b9a6/lokta_volterra_a.cellml
<?xml version="1.0"?>
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<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Lokta-Volterra predator-prey dynamics model</title>
<author>
<firstname>James</firstname>
<surname>Lawson</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This model is known to integrate to reproduce the desired results in COR and PCEnv. It is valid CellML and has consistent units.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
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 = 10, y = 5, A = 1.5, B = 1, C = 3, D = 1.
</para>
<para>
For more information on this model please see <ulink url="http://en.wikipedia.org/wiki/Lotka%E2%80%93Volterra_equation">the Wikipedia entry on this subject</ulink>
</para>
</sect1>
</article>
</documentation>
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<variable name="t" units="dimensionless"/>
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<variable initial_value="5" name="y" units="dimensionless"/>
<variable initial_value="1.5" name="A" units="dimensionless"/>
<variable initial_value="1" name="B" units="dimensionless"/>
<variable initial_value="3" name="C" units="dimensionless"/>
<variable initial_value="1" name="D" units="dimensionless"/>
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