Competitive Exclusion & Lotka-Volterra Competition

N-species competition · Nullcline analysis · Competitive exclusion principle

Phase portrait (species 1 vs 2) — drag to set initial condition

Population dynamics

3-species simplex (drag to rotate)

Parameters

Outcome: computing…

Competitive Exclusion Principle:

At most as many species can coexist as there are limiting resources (Gause 1934). Stable coexistence requires intraspecific competition > interspecific.