Networked Infectiousness: Cascades, Power Laws, and Kinetics
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908365576208384 |
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| author | Najem, Sara Klushin, Leonid Touma, Jihad |
| author_facet | Najem, Sara Klushin, Leonid Touma, Jihad |
| contents | Networked SIR models have become essential workhorses in the modeling of epidemics, their inception, propagation and control. Here, and building on this venerable tradition, we report on the emergence of a remarkable self-organization of infectiousness in the wake of a propagating disease front. It manifests as a cascading power-law distribution of disease strength in networked SIR simulations, and is then confirmed with suitably defined kinetics, then stochastic modeling of surveillance data. Given the success of the networked SIR models which brought it to light, we expect this scale-invariant feature to be of universal significance, characterizing the evolution of disease within and across transportation networks, informing the design of control strategies, and providing a litmus test for the soundness of disease propagation models. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_10512 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Networked Infectiousness: Cascades, Power Laws, and Kinetics Najem, Sara Klushin, Leonid Touma, Jihad Statistical Mechanics Adaptation and Self-Organizing Systems Networked SIR models have become essential workhorses in the modeling of epidemics, their inception, propagation and control. Here, and building on this venerable tradition, we report on the emergence of a remarkable self-organization of infectiousness in the wake of a propagating disease front. It manifests as a cascading power-law distribution of disease strength in networked SIR simulations, and is then confirmed with suitably defined kinetics, then stochastic modeling of surveillance data. Given the success of the networked SIR models which brought it to light, we expect this scale-invariant feature to be of universal significance, characterizing the evolution of disease within and across transportation networks, informing the design of control strategies, and providing a litmus test for the soundness of disease propagation models. |
| title | Networked Infectiousness: Cascades, Power Laws, and Kinetics |
| topic | Statistical Mechanics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2505.10512 |