Agent-based simulation with non-reciprocal interactions for Lotka-Volterra model

Abstract

This work studies the population dynamics of a system with two classes of particles that act as prey and predator. We perform an agent-based simulation where we model the interactions between particles as non-reciprocal, add movements from stochastic origins, and include multiplication and elimination mechanisms. We conclude by making a comparison with the ideal Lotka-Volterra model for population description. We find that our model exhibits oscillations in the populations, but with solutions outside the family of curves of the Lotka-Volterra equations. It is a more realistic model that exhibits the expected dynamics of a more general model of equations than the classical Lotka-Volterra.