ArticleInterface focus2018
Thermodynamic efficiency of contagions: a statistical mechanical analysis of the SIS epidemic model.
Article in Interface focus, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Spread of the plague in Venice, 1630-1631: epidemic entropy in a "natural experiment".medRxiv : the preprint server for health sciences · 2025Article
- Why collective behaviours self-organize to criticality: a primer on information-theoretic and thermodynamic utility measures.Royal Society open science · 2025Article
- Bounded risk disposition explains Turing patterns and tipping points during spatial contagions.Royal Society open science · 2024Article
- Thermodynamic Efficiency of Interactions in Self-Organizing Systems.Entropy (Basel, Switzerland) · 2021Article
- A scaling investigation of pattern in the spread of COVID-19: universality in real data and a predictive analytical description.Proceedings. Mathematical, physical, and engineering sciences · 2021Article
- Modelling transmission and control of the COVID-19 pandemic in Australia.Nature communications · 2020Article
- City structure shapes directional resettlement flows in Australia.Scientific reports · 2020Article
- Population mobility induced phase separation in SIS epidemic and social dynamics.Scientific reports · 2020Article
- Interfering with influenza: nonlinear coupling of reactive and static mitigation strategies.Journal of the Royal Society, Interface · 2020Article
- Influential Nodes Identification in Complex Networks via Information Entropy.Entropy (Basel, Switzerland) · 2020Article
- Phase Transitions in Spatial Connectivity during Influenza Pandemics.Entropy (Basel, Switzerland) · 2020Article
- Creating a surrogate commuter network from Australian Bureau of Statistics census data.Scientific data · 2019Article
- The Effects of Imitation Dynamics on Vaccination Behaviours in SIR-Network Model.International journal of environmental research and public health · 2019Article
- Network properties of salmonella epidemics.Scientific reports · 2019Article
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Authors and funding
3 authors.
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Abstract
We present a novel approach to the study of epidemics on networks as thermodynamic phenomena, quantifying the thermodynamic efficiency of contagions, considered as distributed computational processes. Modelling SIS dynamics on a contact network statistical-mechanically, we follow the maximum entropy (MaxEnt) principle to obtain steady-state distributions and derive, under certain assumptions, relevant thermodynamic quantities both analytically and numerically. In particular, we obtain closed-form solutions for some cases, while interpreting key epidemic variables, such as the reproductive ratio of a SIS model, in a statistical mechanical setting. On the other hand, we consider configuration and free entropy, as well as the Fisher information, in the epidemiological context. This allowed us to identify criticality and distinct phases of epidemic processes. For each of the considered thermodynamic quantities, we compare the analytical solutions informed by the MaxEnt principle with the numerical estimates for SIS epidemics simulated on Watts-Strogatz random graphs.
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