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Lotka-Volterra two-species competition model - Model catalogue -

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Lotka-Volterra two-species competition model

Model : competition1
Simile version : 3.1+
Date added : 2003-06-20
Keywords : Competition ; Population dynamics ; Lotka-Volterra ; Basic System Dynamics ;


This is the classic textbook model of the population dynamics of two competing species.

It is based on a pair of differential equations, each having the same mathematical form:

dX1/dt = r1.X1.(1-b1.X1-c1.X2)
dX2/dt = r2.X2.(1-b2.X2-c2.X1)

X1,X2 are the populations sizes of the two species;
r1,r2 are the intrinsic rate sof increase of the two species;
b1,b2 are the self-inhibition coefficients for the two species;
c1,c2 are the competitor’s inhibition coefficient for each species.


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