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Epidemic spreading over populations networks has been an important subject of research for several decades, and especially during the Covid-19 pandemic. Most epidemic outbreaks are likely to create multiple mutations during their spreading…

Populations and Evolution · Quantitative Biology 2025-09-30 Aviel Ivry , Reuven Cohen , Amikam Patron

Antigenic escape constitutes the main mechanism allowing rapidly evolving viruses to achieve endemicity. Beyond granting immune escape, empirical evidence also suggests that mutations of viruses might increase their inter-host…

Populations and Evolution · Quantitative Biology 2025-11-20 David Soriano-Paños

Mathematical models of infectious disease transmission typically neglect within-host dynamics. Yet within-host dynamics - including pathogen replication, host immune responses, and interactions with microbiota - are crucial not only for…

Populations and Evolution · Quantitative Biology 2023-12-20 Cameron A. Smith , Ben Ashby

Rapidly mutating pathogens may be able to persist in the population and reach an endemic equilibrium by escaping hosts' acquired immunity. For such diseases, multiple biological, environmental and population-level mechanisms determine the…

Physics and Society · Physics 2019-02-07 Alberto Aleta , Andreia N. S. Hisi , Sandro Meloni , Chiara Poletto , Vittoria Colizza , Yamir Moreno

Cooperation and competition between pathogens can alter the amount of individuals affected by a co-infection. Nonetheless, the evolution of the pathogens' behavior has been overlooked. Here, we consider a co-evolutionary model where the…

Populations and Evolution · Quantitative Biology 2022-03-23 Fakhteh Ghanbarnejad , Kai Seegers , Alessio Cardillo , Philipp Hövel

Infectious pathogens often propagate by superspreading, which focusses onward transmission on disproportionately few infected individuals. At the same time, infector-infectee pairs tend to have more similar transmission potentials than…

Populations and Evolution · Quantitative Biology 2025-09-22 Noah Silva de Leonardi , Benjamin D. Dalziel

The spread of infectious disease and the evolution of antigenically distinct strains are often modeled separately, despite strong feedbacks mediated by host immune memory and heterogeneous contacts. To tackle this challenging problem, we…

Populations and Evolution · Quantitative Biology 2026-04-01 Davide Zanchetta , Vittoria Bettio , Sandro Azaele , Manlio De Domenico

Mathematical disease modelling has long operated under the assumption that any one infectious disease is caused by one transmissible pathogen spreading among a population. This paradigm has been useful in simplifying the biological reality…

Populations and Evolution · Quantitative Biology 2021-06-02 Blake J. M. Williams , Guillaume St-Onge , Laurent Hébert-Dufresne

Infectious disease transmission in human populations has a complex two-way interaction with changes in host behaviour. It is increasingly recognised that incorporating adaptive behavioural change into epidemic models is important for…

Populations and Evolution · Quantitative Biology 2026-04-14 Michael J. Plank , Matt Ryan , Lloyd Chapman , Roslyn I. Hickson , Thomas House , Emma McBryde , James M. McCaw

A common theme among the proposed models for network epidemics is the assumption that the propagating object, i.e., a virus or a piece of information, is transferred across the nodes without going through any modification or evolution.…

Physics and Society · Physics 2019-11-05 Rashad Eletreby , Yong Zhuang , Kathleen M. Carley , Osman Yağan , H. Vincent Poor

Motile organisms can form stable agglomerates such as cities or colonies. In the outbreak of a highly contagious disease, the control of large-scale epidemic spread depends on factors like the number and size of agglomerates, travel rate…

Populations and Evolution · Quantitative Biology 2023-04-03 Pablo de Castro , Felipe Urbina , Ariel Norambuena , Francisca Guzmán-Lastra

In an increasingly interconnected world, a key scientific challenge is to examine mechanisms that lead to the widespread propagation of contagions, such as misinformation and pathogens, and identify risk factors that can trigger large-scale…

Social and Information Networks · Computer Science 2024-09-27 Mansi Sood , Hejin Gu , Rashad Eletreby , Swarun Kumar , Chai Wah Wu , Osman Yagan

We consider a model for an epidemic in a population that occupies geographically distinct locations. The disease is spread within subpopulations by contacts between infective and susceptible individuals, and is spread between subpopulations…

Probability · Mathematics 2016-02-15 R. McVinish , P. K. Pollett , A. Shausan

The fundamental models of epidemiology describe the progression of an infectious disease through a population using compartmentalized differential equations, but do not incorporate population-level heterogeneity in infection susceptibility.…

Populations and Evolution · Quantitative Biology 2023-08-04 Christopher Rose , Andrew J. Medford , C. Franklin Goldsmith , Tejs Vegge , Joshua S. Weitz , Andrew A. Peterson

Diseases spread through host populations over the networks of contacts between individuals, and a number of results about this process have been derived in recent years by exploiting connections between epidemic processes and bond…

Statistical Mechanics · Physics 2007-05-23 M. E. J. Newman

Epidemic disease spreading is conventionally often modelled and analyzed by means of rate and diffusion equations, following the paradigms of well-controlled chemical reactions and diffusive dynamics in a test tube. Yet, serious worries…

Physics and Society · Physics 2023-01-03 Klaus Kroy

Human pathogens transmitted through environmental pathways are subject to stress and pressures outside of the host. These pressures may cause pathogen pathovars to diverge in their environmental persistence and their infectivity on an…

Populations and Evolution · Quantitative Biology 2018-02-16 Andrew F. Brouwer , Marisa C. Eisenberg , Nancy G. Love , Joseph N. S. Eisenberg

In this paper, we propose a mathematical framework that governs the evolution of epidemic dynamics, encompassing both intra-population dynamics and inter-population mobility within a metapopulation network. By linearizing this dynamical…

Physics and Society · Physics 2025-05-05 Yazdan Babazadeh , Amin Safaeesirat , Fakhteh Ghanbarnejad

We study how the interplay between the memory immune response and pathogen mutation affects epidemic dynamics in two related models. The first explicitly models pathogen mutation and individual memory immune responses, with contacted…

Chaotic Dynamics · Physics 2009-11-07 Michelle Girvan , Duncan S. Callaway , M. E. J. Newman , Steven H. Strogatz

A key scientific challenge during the outbreak of novel infectious diseases is to predict how the course of the epidemic changes under different countermeasures that limit interaction in the population. Most epidemiological models do not…

Physics and Society · Physics 2023-01-25 Mansi Sood , Anirudh Sridhar , Rashad Eletreby , Chai Wah Wu , Simon A. Levin , H. Vincent Poor , Osman Yagan
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