1. Simplicially driven simple contagion
- Author
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Maxime Lucas, Iacopo Iacopini, Thomas Robiglio, Alain Barrat, Giovanni Petri, ISI Foundation Institute for Scientific Interchange, Central European University Vienna, Dipartimento di Fisica [Torino], Università degli studi di Torino = University of Turin (UNITO), CPT - E5 Physique statistique et systèmes complexes, Centre de Physique Théorique - UMR 7332 (CPT), Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS), and ANR-19-CE46-0008,DataRedux,Réduction de données massives pour la simulation numérique prédictive(2019)
- Subjects
Social and Information Networks (cs.SI) ,FOS: Computer and information sciences ,Physics - Physics and Society ,[PHYS.PHYS.PHYS-SOC-PH]Physics [physics]/Physics [physics]/Physics and Society [physics.soc-ph] ,FOS: Physical sciences ,General Physics and Astronomy ,Computer Science - Social and Information Networks ,[SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie ,Physics and Society (physics.soc-ph) ,[PHYS.PHYS.PHYS-DATA-AN]Physics [physics]/Physics [physics]/Data Analysis, Statistics and Probability [physics.data-an] - Abstract
Single contagion processes are known to display a continuous transition from an epidemic-free phase at low contagion rates to the epidemic state for rates above a critical threshold. This transition can become discontinuous when two simple contagion processes are coupled in a bi-directional symmetric way. However, in many cases, the coupling is not symmetric and the processes can be of a different nature. For example, risky social behaviors -- such as not wearing masks or engaging in large gatherings -- can affect the spread of a disease, and their adoption dynamics via social reinforcement mechanisms are better described by complex contagion models, rather than by the simple contagion paradigm, which is more appropriate for disease spreading phenomena. Motivated by this example, we consider a simplicial contagion (describing the adoption of a behavior) that uni-directionally drives a simple contagion (describing a disease propagation). We show that, above a critical driving strength, such driven simple contagion can exhibit both discontinuous transitions and bi-stability, which are instead absent in standard simple contagions. We provide a mean-field analytical description of the phase diagram of the system, and complement the results with Markov-chain simulations. Our results provide a novel route for a simple contagion process to display the phenomenology of a higher-order contagion, through a driving mechanism that may be hidden or unobservable in many practical instances., Comment: 10 pages, 7 figures. I.I. and M.L. contributed equally to this work. A.B and G.P. jointly supervised this work
- Published
- 2023