The periods of the orbits for the well-mixed cyclic three-species Lotka-Volterra model far away from the fixed point are studied. For finite system sizes, a discrete stochastic approach is employed and periods are found via wavelet analysis. As the system size is increased, a hierarchy of approximations ranging from Poisson noise to Gaussian noise to deterministic models are utilized. Based on the deterministic equations, a mathematical relationship between a conserved quantity of the model and the period of the population oscillations is found. Exploiting this property we then study the deterministic conserved quantity and period noise in finite size systems.
Sanft, Kevin R. and Intoy, Ben F. M.
"Period Estimation and Noise in a Neutrally Stable Stochastic Oscillator,"
Spora: A Journal of Biomathematics: Vol. 6, 26–39.
Available at: https://ir.library.illinoisstate.edu/spora/vol6/iss1/4