Three Species Lotka–Volterra Model

We present a model of a three-step food chain. Population A grows at a certain rate and at another rate is eaten by the population B which has its own birth rate but is, in turn, eaten at a different rate by the population C. The dynamics of the model is given by a set of differential equations and via Monte Carlo simulations. Our system undergoes sudden cataclysms in the form of partial destruction of one of the populations. We show that there exist threshold values for the possible percentage of destroyed populations, above which the system returns to its previous state, thus showing a self-regulatory character.