Predator-Only Lotka-Volterra Model

ODEs:

x' = c_x xy - c_z xz - d_x x

y' = c_y yz - c_x yx - d_y y

z' = c_z zx - c_y zy - d_z z

x preys on y, y preys on z, z preys on x (like rock-paper-scissors)

c_i is the consumption rate, d_i is the natural death rate