Lotka-Volterra Competition

Parameters

α₁₂ (species 2 on 1) = 0.7 α₂₁ (species 1 on 2) = 0.8 K₁ (carrying cap.) = 150 K₂ (carrying cap.) = 120

N₁: —

N₂: —

dN₁/dt = r₁N₁(1−(N₁+α₁₂N₂)/K₁)
dN₂/dt = r₂N₂(1−(N₂+α₂₁N₁)/K₂)

4 outcomes:
α₁₂<K₁/K₂ & α₂₁<K₂/K₁ → coexist
α₁₂>K₁/K₂ & α₂₁<K₂/K₁ → sp2 wins
α₁₂<K₁/K₂ & α₂₁>K₂/K₁ → sp1 wins
both > → bistability!

Lotka-Volterra Competition — Two Species

Parameters