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This chapter introduces evolutionary antifragility as the time-scale interaction characteristics of a natural dynamic system. It describes the benefit derived from input distribution unevenness, based on the emergent system dynamics and its…

Populations and Evolution · Quantitative Biology 2025-04-25 Cristian Axenie , Roman Bauer , Oliver Lopez Corona , Elvia Ramirez-Carrillo , Ari Barnett , Jeffrey West

We performed a thorough sensitivity analysis of the herd immunity threshold for discrete-time SIR compartmental models with a static network structure. We find unexpectedly that these models violate classical intuition which holds that the…

Populations and Evolution · Quantitative Biology 2023-02-27 Sinan A. Ozbay , Bjarke F. Nielsen , Maximilian M. Nguyen

Contacts' temporal ordering and dynamics are crucial for understanding the transmission of infectious diseases. We introduce an interaction-driven model of an airborne disease over contact networks. We demonstrate our interaction-driven…

Social and Information Networks · Computer Science 2022-08-11 Alex Abbey , Yanir Marmor , Yuval Shahar , Osnat Mokryn

Current modeling of infectious diseases allows for the study of complex and realistic scenarios that go from the population to the individual level of description. However, most epidemic models assume that the spreading process takes place…

Physics and Society · Physics 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno

Mathematical modeling is one of the key factors of the effective control of newly found infectious diseases, such as COVID-19. Our knowledge about the parameters and the course of the infection is highly limited in the beginning of the…

Quantitative Methods · Quantitative Biology 2021-10-13 Péter Boldog , Norbert Bogya , Zsolt Vizi

Existing approaches to modelling antibody concentration data are mostly based on finite mixture models that rely on the assumption that individuals can be divided into two distinct groups: seronegative and seropositive. Here, we challenge…

Methodology · Statistics 2026-04-20 Emanuele Giorgi , Jonas Wallin

In many epidemiological models a nonlinear transmission function is used in the form of power law relationship. It is constantly argued that such form reflects population heterogeneities including differences in the mixing pattern,…

Populations and Evolution · Quantitative Biology 2008-09-10 Artem S. Novozhilov

We propose a statistical model for weighted temporal networks capable of measuring the level of heterogeneity in a financial system. Our model focuses on the level of diversification of financial institutions; that is, whether they are more…

Applications · Statistics 2018-08-15 Juraj Hledik , Riccardo Rastelli

In most social and information systems the activity of agents generates rapidly evolving time-varying networks. The temporal variation in networks' connectivity patterns and the ongoing dynamic processes are usually coupled in ways that…

Physics and Society · Physics 2014-02-18 Márton Karsai , Nicola Perra , Alessandro Vespignani

We investigate the effects of cooperativity between contagion processes that spread and persist in a host population. We propose and analyze a dynamical model in which individuals that are affected by one transmissible agent $A$ exhibit a…

Physics and Society · Physics 2017-11-22 Li Chen , Fakhteh Ghanbarnejad , Dirk Brockmann

Threshold models try to explain the consequences of social influence like the spread of fads and opinions. Along with models of epidemics, they constitute a major theoretical framework of social spreading processes. In threshold models on…

Physics and Society · Physics 2014-08-27 Fariba Karimi , Petter Holme

Policy-makers require data-driven tools to assess the spread of COVID-19 and inform the public of their risk of infection on an ongoing basis. We propose a rigorous hybrid model-and-data-driven approach to risk scoring based on a…

Short-time human travel behaviour can be described by a power law with respect to distance. We incorporate this information in space-time models for infectious disease surveillance data to better capture the dynamics of disease spread. Two…

Methodology · Statistics 2014-11-25 Sebastian Meyer , Leonhard Held

The UK Biobank is a large-scale health resource comprising genetic, environmental and medical information on approximately 500,000 volunteer participants in the UK, recruited at ages 40--69 during the years 2006--2010. The project monitors…

Applications · Statistics 2021-03-16 Malka Gorfine , Nir Keret , Asaf Ben Arie , David Zucker , Li Hsu

The study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physics community. In this paper, we show that a large class of standard epidemiological models, the…

Statistical Mechanics · Physics 2009-11-07 M. E. J. Newman

In this paper we review an approach to estimating the causal effect of a time-varying treatment on time to some event of interest. This approach is designed for the situation where the treatment may have been repeatedly adapted to patient…

Statistics Theory · Mathematics 2007-06-13 J. J. Lok , R. D. Gill , A. W. van der Vaart , J. M. Robins

A time-varying bivariate copula joint model, which models the repeatedly measured longitudinal outcome at each time point and the survival data jointly by both the random effects and time-varying bivariate copulas, is proposed in this…

Methodology · Statistics 2024-12-03 Zili Zhang , Christiana Charalambous , Peter Foster

This paper studies a discrete-time time-varying multi-layer networked SIWS (susceptible-infected-water-susceptible) model with multiple resources under both single-virus and competing multi-virus settings. Besides the human-to-human…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Shaoxuan Cui , Fangzhou Liu , Hildeberto Jardón-Kojakhmetov , Ming Cao

Frailty survival models are widely used to capture unobserved heterogeneity among individuals in clinical and epidemiological research. This paper introduces a Bayesian survival model that features discrete frailty induced by the hurdle…

Methodology · Statistics 2025-05-30 Katy C. Molina , Joaquín Martínez-Minaya , Danilo Alvares , Vera D. Tomazella

We study the susceptible-infected model with power-law waiting time distributions $P(\tau)\sim \tau^{-\alpha}$, as a model of spreading dynamics under heterogeneous human activity patterns. We found that the average number of new infections…

Data Analysis, Statistics and Probability · Physics 2011-03-09 Byungjoon Min , K. -I. Goh , Alexei Vazquez