Tuesday, February 2, 2010

Lotka-Volterra Model

Lotka-Volterra Equations:
The "Lotka-Volterra equations" refer to two coupled differential equations

[Graphics:Images/Lotka-VolterraMod_gr_1.gif]

[Graphics:Images/Lotka-VolterraMod_gr_2.gif]

There is one critical point which occurs when [Graphics:Images/Lotka-VolterraMod_gr_3.gif] and it is [Graphics:Images/Lotka-VolterraMod_gr_4.gif].

The Runge-Kutta method is used to numerically solve O.D.E.'s over an interval [Graphics:Images/Lotka-VolterraMod_gr_5.gif].

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Introductory Methods of Numerical Analysis