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Coalescent models are used to study the transmission dynamics of rapidly evolving pathogens from molecular sequence data obtained from infected individuals. However coalescent parameters, such as effective population size, offer limited…

Methodology · Statistics 2025-11-14 Isaac H. Goldstein , Julia A. Palacios

During infectious disease outbreaks, estimates of time-varying pathogen transmissibility, such as the instantaneous reproduction number R(t) or epidemic growth rate r(t), are used to inform decision-making by public health authorities. For…

Populations and Evolution · Quantitative Biology 2024-09-30 Cathal Mills , Tarek Alrefae , William S. Hart , Moritz U. G. Kraemer , Kris V. Parag , Robin N. Thompson , Christl A. Donnelly , Ben Lambert

We generalize the Susceptible-Infected-Removed model for epidemics to take into account generic effects of heterogeneity in the degree of susceptibility to infection in the population. We introduce a single new parameter corresponding to a…

Populations and Evolution · Quantitative Biology 2021-01-27 Jonas Neipel , Jonathan Bauermann , Stefano Bo , Tyler Harmon , Frank Jülicher

This paper studies the distribution function of the time of extinction of a subcritical epidemic, when a large enough proportion of the population has been immunized and/or the infectivity of the infectious individuals has been reduced, so…

Probability · Mathematics 2023-04-05 Anicet Mougabe-Peurkor , Ibrahima Drame , Modeste N'zi , Etienne Pardoux

The duration, type and structure of connections between individuals in real-world populations play a crucial role in how diseases invade and spread. Here, we incorporate the aforementioned heterogeneities into a model by considering a…

Physics and Society · Physics 2018-04-05 Rosanna C Barnard , Istvan Z Kiss , Luc Berthouze , Joel C Miller

We model and calculate the fraction of infected population necessary to reach herd immunity, taking into account the heterogeneity in infectiousness and susceptibility, as well as the correlation between those two parameters. We show that…

Populations and Evolution · Quantitative Biology 2021-01-19 Yaron Oz , Ittai Rubinstein , Muli Safra

Although community structure is ubiquitous in complex networks, few works exploit this topological property to control epidemics. In this work, devoted to networks with non-overlapping community structure (i.e, a node belongs to a single…

Social and Information Networks · Computer Science 2018-06-15 Zakariya Ghalmane , Mohammed El Hassouni , Hocine Cherifi

Epidemiological models describe the spread of an infectious disease within a population. They capture microscopic details on how the disease is passed on among individuals in various different ways, while making predictions about the state…

Populations and Evolution · Quantitative Biology 2024-02-27 Stefan Hohenegger , Francesco Sannino

Transmission models for infectious diseases are typically formulated in terms of dynamics between individuals or groups with processes such as disease progression or recovery for each individual captured phenomenologically, without…

Risk-driven behavior provides a feedback mechanism through which individuals both shape and are collectively affected by an epidemic. We introduce a general and flexible compartmental model to study the effect of heterogeneity in the…

In light of the continuing emergence of new SARS-CoV-2 variants and vaccines, we create a simulation framework for exploring possible infection trajectories under various scenarios. The situations of primary interest involve the interaction…

Populations and Evolution · Quantitative Biology 2022-01-10 Kory D. Johnson , Annemarie Grass , Daniel Toneian , Mathias Beiglböck , Jitka Polechová

A cholera transmission model incorporating water-borne and horizontal transmissions as well as infectivity of deceased individuals is formulated and studied. The model also describes an imperfect and waning vaccination. Global stability of…

Populations and Evolution · Quantitative Biology 2025-04-11 Abdramane Annour Saad , Julien Arino , Patrick M Tchepmo Djomegni , Mahamat S Daoussa Haggar

Epidemic risk assessment poses inherent challenges, with traditional approaches often failing to balance health outcomes and economic constraints. This paper presents a data-driven decision support tool that models epidemiological dynamics…

Applications · Statistics 2025-11-24 Chang Zhai , Ping Chen , Zhuo Jin , David Pitt

Early on during a pandemic, vaccine availability is limited, requiring prioritisation of different population groups. Evaluating vaccine allocation is therefore a crucial element of pandemics response. In the present work, we develop a…

In this article, we investigate the importance of demographic and contact patterns in determining the spread of COVID-19 and to the effectiveness of social distancing policies. We investigate these questions proposing an augmented…

Populations and Evolution · Quantitative Biology 2022-05-12 M. A. Ridenti , L. K. Teles , A. Maranhão , V. K. Teles

The Susceptible-Infected-Recovered (SIR) model has successfully mimicked the propagation of such airborne diseases as influenza A (H1N1). Although the SIR model has recently been studied in a multilayer networks configuration, in almost all…

Physics and Society · Physics 2015-07-16 L. G. Alvarez Zuzek , H. E. Stanley , L. A. Braunstein

In many real-world complex systems, individuals have many kind of interactions among them, suggesting that it is necessary to consider a layered structure framework to model systems such as social interactions. This structure can be…

Physics and Society · Physics 2015-02-06 C. Buono , L. A. Braunstein

Network epidemiology has become a core framework for investigating the role of human contact patterns in the spreading of infectious diseases. In network epidemiology represents the contact structure as a network of nodes (individuals)…

Populations and Evolution · Quantitative Biology 2014-06-10 Petter Holme

Despite the enormous relevance of zoonotic infections to world- wide public health, and despite much effort in modeling individual zoonoses, a fundamental understanding of the disease dynamics and the nature of outbreaks arising in such…

Populations and Evolution · Quantitative Biology 2013-07-18 Sarabjeet Singh , David J. Schneider , Christopher R. Myers

We consider the problem of the optimal allocation of vaccination and protection measures for the Susceptible-Infected-Recovered-Infected (SIRI) epidemiological model, which generalizes the classical Susceptible-Infected-Recovered (SIR) and…

Optimization and Control · Mathematics 2025-05-09 Urmee Maitra , Ashish R. Hota , Rohit Gupta , Alfred O. Hero
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