Competition of simple and complex adoption on interdependent networks
Agnieszka Czaplicka, Raul Toral, Maxi San Miguel

TL;DR
This paper investigates how the interplay between complex threshold and simple SIS adoption models on interconnected networks affects transition points and the nature of adoption phases, revealing that coupling modifies thresholds and can induce new transition types.
Contribution
It introduces a coupled model of complex and simple adoption processes on interdependent networks, analyzing how interlayer connectivity influences transition thresholds and behaviors.
Findings
Transition points are shifted by interlayer coupling.
The nature of transitions can change from discontinuous to continuous.
A new sudden drop transition appears in the SIS layer.
Abstract
We consider the competition of two mechanisms for adoption processes: a so-called complex threshold dynamics and a simple Susceptible-Infected-Susceptible (SIS) model. Separately, these mechanisms lead, respectively, to first order and continuous transitions between non-adoption and adoption phases. We consider two interconnected layers. While all nodes on the first layer follow the complex adoption process, all nodes on the second layer follow the simple adoption process. Coupling between the two adoption processes occurs as a result of the inclusion of some additional interconnections between layers. We find that the transition points and also the nature of the transitions are modified in the coupled dynamics. In the complex adoption layer, the critical threshold required for extension of adoption increases with interlayer connectivity whereas in the case of an isolated single network…
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