Complex network near-synchronization for non-identical predator-prey systems - Archive ouverte HAL
Journal Articles AIMS Mathematics Year : 2022

Complex network near-synchronization for non-identical predator-prey systems

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.

Dates and versions

hal-03778221 , version 1 (15-09-2022)

Identifiers

Cite

Guillaume Cantin, Cristiana Silva. Complex network near-synchronization for non-identical predator-prey systems. AIMS Mathematics, 2022, 7 (11), pp.19975-19997. ⟨10.3934/math.20221093⟩. ⟨hal-03778221⟩
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