Competitive Lotka-Volterra Phase Portrait

Interactive exploration of a two-species competition model

ẋ = x(A - ax - by) ẏ = y(B - cx - dy)

Click to add a trajectory. Scroll to zoom. Shift+drag to pan.

Parameters

A (x growth)

3.0

B (y growth)

2.0

a (x self-comp.)

1.0

b (x-y comp.)

2.0

c (y-x comp.)

1.0

d (y self-comp.)

1.0

Presets

Display

Fixed Points

Legend

x-nullcline (ẋ=0)

y-nullcline (ẏ=0)

Stable node/spiral

Unstable node/spiral

Saddle point