Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/35133
Title: | Complex network near-synchronization for non-identical predator-prey systems |
Author: | Cantin, Guillaume Silva, Cristiana J. |
Keywords: | Complex network Non-identical systems Synchronization Ecology |
Issue Date: | 2022 |
Publisher: | AIMS Press |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/35133 |
DOI: | 10.3934/math.20221093 |
Appears in Collections: | SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CantinSilvaAIMSMathematics2022.pdf | 7.61 MB | Adobe PDF | View/Open |
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