Chaos synchronization: Using prey abundance to synchronize two chaotic GLV models
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.
Keywords
Cite
@article{arxiv.2301.03557,
title = {Chaos synchronization: Using prey abundance to synchronize two chaotic GLV models},
author = {Shubhangi Dwivedi and Nitu Kumari and Ranjit Kumar Upadhyay},
journal= {arXiv preprint arXiv:2301.03557},
year = {2023}
}
Comments
33 pages, 10 figures, accepted manuscript to Journal of Dynamical Systems and Geometric Theories, Taylor & Francis