Three-Species Predator-Prey Chaos

Three-species Lotka-Volterra: ẋ=x(1−y), ẏ=y(x−z−1), ż=z(y−1). In 3D, the orbit escapes the periodic orbits of 2-species LV and becomes chaotic. The attractor fills a strange shape in phase space.

x (prey)
y (mid-predator)
z (top predator)
a (x growth)1.5
b (y growth)1.0
c (z death)1.2
t = 0