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In order to understand the cost of a potentially high infectiousness of symptomatic individuals or, on the contrary, the benefit of social distancing, quarantine, etc. in the course of an infectious disease, this paper considers a natural…

Probability · Mathematics 2024-04-29 Lamia Belhadji , Nicolas Lanchier , Max Mercer

We estimate the reduction in transmission of SARS-CoV-2 achievable by surveillance testing of a susceptible population at different frequencies, comparing the cases of both the original Wuhan strain and the Delta variant. We estimate the…

Physics and Society · Physics 2021-10-04 Ahmed Elbanna , Nigel Goldenfeld

Different countries -- and sometimes different regions within the same countries -- have adopted different strategies in trying to contain the ongoing COVID-19 epidemic; these mix in variable parts social confinement, early detection and…

Populations and Evolution · Quantitative Biology 2020-07-17 Giuseppe Gaeta

Non-pharmaceutical interventions, such as contact tracing and social distancing, are critical for controlling epidemic outbreaks, yet their dynamic interactions remain underexplored. We introduce a probabilistic framework to analyze the…

Physics and Society · Physics 2025-12-11 Jinghui Wang , Yutian Zeng , Cong Xu , Xiyun Zhang , Zhanwei Du , Jiarong Xie , Jiu Zhang , Sen Pei , Zijian Feng , Yanqing Hu

Two crucial elements facilitate the understanding and control of communicable disease spread within a social setting. These components are, the underlying contact structure among individuals that determines the pattern of disease…

Populations and Evolution · Quantitative Biology 2013-05-29 Pierre-Andre Noel , Bahman Davoudi , Louis J. Dube , Robert C. Brunham , Babak Pourbohloul

When an unprecedented infectious disease with high mortality and transmissibility emerges, immediate usage of vaccines or medicines is hardly available. Thus, many health authorities rely on non-pharmaceutical interventions through…

Physics and Society · Physics 2022-01-21 Minsuk Kim , Soon-Hyung Yook

We study the susceptible-infected-susceptible (SIS) model on directed complex networks within the quenched mean-field approximation. Combining results from random matrix theory with an analytic approach to the distribution of fixed-point…

Physics and Society · Physics 2025-12-12 Vinícius B. Müller , Fernando L. Metz

We derive an analytical expression for the critical infection rate r_c of the susceptible-infectious-susceptible (SIS) disease spreading model on random networks. To obtain r_c, we first calculate the probability of reinfection, pi, defined…

Disordered Systems and Neural Networks · Physics 2010-07-16 Roni Parshani , Shai Carmi , Shlomo Havlin

We study the phase transition from the persistence phase to the extinction phase for the SIRS (susceptible/ infected/ refractory/ susceptible) model of diseases spreading on the networks. We derive an analytical expression of the…

Populations and Evolution · Quantitative Biology 2019-11-18 M. Ali Saif

Compartmental models are the most widely used framework for modeling infectious diseases. These models have been continuously refined to incorporate all the realistic mechanisms that can shape the course of an epidemic outbreak. Building on…

We consider an epidemic process on adaptive activity-driven temporal networks, with adaptive behaviour modelled as a change in activity and attractiveness due to infection. By using a mean-field approach, we derive an analytical estimate of…

Physics and Society · Physics 2020-09-02 Marco Mancastroppa , Raffaella Burioni , Vittoria Colizza , Alessandro Vezzani

Many countries have passed their first COVID-19 epidemic peak. Traditional epidemiological models describe this as a result of non-pharmaceutical interventions that pushed the growth rate below the recovery rate. In this new phase of the…

Physics and Society · Physics 2020-08-31 Stefan Thurner , Peter Klimek , Rudolf Hanel

Studies on how to model the interplay between diseases and behavioral responses (so-called coupled disease-behavior interaction) have attracted increasing attention. Owing to the lack of obvious clinical evidence of diseases, or the…

Physics and Society · Physics 2016-08-24 Hai-Feng Zhang , Jia-Rong Xie , Han-Shuang Chen , Can Liu , Michael Small

The COVID-19 pandemic has presented unprecedented challenges worldwide, necessitating effective modelling approaches to understand and control its transmission dynamics. In this study, we propose a novel approach that integrates…

Populations and Evolution · Quantitative Biology 2025-01-14 Moein Khalighi , Leo Lahti , Faïçal Ndaïrou , Peter Rashkov , Delfim F. M. Torres

There is increasing evidence that one of the most difficult problems in trying to control the ongoing COVID-19 epidemic is the presence of a large cohort of asymptomatic infectives. We develop a SIR-type model taking into account the…

Populations and Evolution · Quantitative Biology 2020-06-29 Giuseppe Gaeta

Dynamical systems running on the top of complex networks has been extensively investigated for decades. But this topic still remains among the most relevant issues in complex network theory due to its range of applicability. The contact…

Physics and Society · Physics 2021-02-03 Angélica S. Mata

The emergence of novel infectious agents presents challenges to statistical models of disease transmission. These challenges arise from limited, poor-quality data and an incomplete understanding of the agent. Moreover, outbreaks manifest…

Methodology · Statistics 2024-03-20 Jiasheng Shi , Jeffrey S. Morris , David M. Rubin , Jing Huang

We study some simple models of disease transmission on small-world networks, in which either the probability of infection by a disease or the probability of its transmission is varied, or both. The resulting models display epidemic behavior…

Statistical Mechanics · Physics 2009-10-31 Cristopher Moore , M. E. J. Newman

Contact Tracing (CT) is one of the measures taken by government and health officials to mitigate the spread of the novel coronavirus. In this paper, we investigate its efficacy by developing a compartmental model for assessing its impact on…

Populations and Evolution · Quantitative Biology 2021-11-23 T. A. Biala , Y. O. Afolabi , A. Q. M. Khaliq

Interaction-driven modeling of diseases over real-world contact data has been shown to promote the understanding of the spread of diseases in communities. This temporal modeling follows the path-preserving order and timing of the contacts,…

Applications · Statistics 2023-07-13 Yanir Marmor , Alex Abbey , Yuval Shahar , Osnat Mokryn