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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 ;

Description

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)

where:
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.

Files

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competition1.sml

Diagram

Results

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Web links

• The Lotka-Volterra competition modelNew Mexico State University, Dept of Fishery and Wildlife Sciences. Notes, with Stella models and diagrams, on various forms of the model.
• Lotka-Volterra model of competitionSally Otto, Zoology, UBC, Canada. Rather more mathematically-based analysis of the model.

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