@article{Cantin2022, 
author = {Guillaume Cantin and Cristiana J. Silva},
title = {Complex network near-synchronization for non-identical predator-prey systems},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {11},
pages = {19975-19997},
keywords = {complex network, non-identical systems, synchronization, ecology},
url = {https://www.sciopen.com/article/10.3934/math.20221093},
doi = {10.3934/math.20221093},
abstract = {In this paper, we analyze the properties of a complex network of predator-prey systems, modeling the ecological dynamics of interacting species living in a fragmented environment. We consider non-identical instances of a Lotka-Volterra model with Holling type II functional response, which undergoes a Hopf bifurcation, and focus on the possible synchronization of distinct local behaviours. We prove an original result for the near-synchronization of non-identical systems, which shows how to and to what extent an extinction dynamic can be driven to a persistence equilibrium. Our theoretical statements are illustrated by appropriate numerical simulations.}
}