Chaos synchronization: Using prey abundance to synchronize two chaotic GLV models

TL;DR

This paper explores how prey abundance can be used to synchronize two chaotic ecological models, employing control methods to stabilize and predict predator-prey dynamics across systems.

Contribution

It introduces a novel approach to synchronize chaotic GLV models using prey as a driving variable with active and adaptive control methods.

Findings

Successful synchronization of chaotic models demonstrated

Control methods stabilize unstable fixed points

Prey abundance effectively drives synchronization

Abstract

This work investigates the synchronization between two chaotic food webs using the generalized Lotka-Volterra (GLV) model consisting of one prey and two predator populations. We, first, examine the impact of three functional responses (linear, Holling type II, and Holling type III) on system dynamics For the study, we consider the model with a linear functional response consisting of chaotic oscillations and apply controllers to stabilize its unstable fixed points. This research contributes to the understanding of how to apply chaotic ecological models to predict the population of competing species in one habitat using information about similar populations in another system. To do this, we configure a drive-response system where prey acts as the driving variable and both predators depend only on the prey. We use active and adaptive control methods to synchronize two coupled GLV models and verify the analytical results through numerical simulations.