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The spreading dynamics of infectious diseases is influenced by individual behaviours, which are in turn affected by the level of awareness about the epidemic. Modelling the co-evolution of disease transmission and behavioural changes within…

Physics and Society · Physics 2026-02-27 Daniele Proverbio , Riccardo Tessarin , Giulia Giordano

During infectious disease epidemics, pathogen transmission occurs in host populations made up of interacting subpopulations. Using stochastic simulation and analytical approximations, we examine how outbreak sizes in networked populations…

Populations and Evolution · Quantitative Biology 2026-01-21 Makoto Ueki , Robin N. Thompson , Murad Banaji

The transmission of monkeypox is studied using a stochastic model taking into account the biological aspects, the contact mechanisms and the demographic factors together with the intrinsic uncertainties. Our results provide insight into the…

Dynamical Systems · Mathematics 2024-07-09 Ghaus ur Rahman , Olena Tymoshenko , Giulia Di Nunno

The study of infectious disease epidemiology for multi-type disease pathogens requires modelling techniques that account for the complex interactions existing between strains across geography and time. In this paper, we propose a novel…

Methodology · Statistics 2026-05-06 Matthew Adeoye , Simon E. F. Spencer , Xavier Didelot

It is essential to understand the dynamics of epidemics in the presence of coexisting pathogens. There are various phenomenon that can effect the dynamics. In this paper, we formulate a mathematical model using different assumptions to…

Populations and Evolution · Quantitative Biology 2021-11-02 S. Ghersheen , V. Kozlov , U. Wennergren

A model based on a thermodynamic approach is proposed for predicting the dynamics of communicable epidemics in a city, when the epidemic is governed by controlling efforts of multiple scales so that an entropy is associated with the system.…

Medical Physics · Physics 2013-10-01 W. B. Wang , Z. N. Wu , Z. M. Cao , R. F. Hu

We analyse a model that describes the propagation of many pathogens within and between many species. A branching process approximation is used to compute the probability of disease outbreaks. Special cases of aquatic environments with two…

Populations and Evolution · Quantitative Biology 2026-05-21 Clotilde Djuikem , Julien Arino

We introduce a new type of point process model to describe the incidence of contagious diseases. The model is a variant of the Hawkes self-exciting process and exhibits similar clustering but without the restriction that the component…

Methodology · Statistics 2017-03-27 Frederic Schoenberg , Marc Hoffmann , Ryan Harrigan

Spatio-temporal extensions of familiar compartment models for disease transmission incorporating diffusive behavior, or interactions between individuals at separate locations, are explored. The models considered have the character of…

Biological Physics · Physics 2022-06-28 Joseph Rudnick , David Jasnow , Jorge Vinals

Computational models of infectious disease can be broadly categorized into two types: individual-based (Agent-based), or compartmental models. While compartmental models can be structured to separate distinct sectors of a population, they…

Populations and Evolution · Quantitative Biology 2021-12-14 Cameron Zachreson , Sheryl Chang , Nathan Harding , Mikhail Prokopenko

Analysis of the cell population generally provides average information about viral infection in a host whereas the intracellular model captures the individual cellular responses. The primary goal of this study is to comprehensively analyze…

Dynamical Systems · Mathematics 2025-05-20 Rupchand Sutradhar , D C Dalal

Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

Physics and Society · Physics 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

Recent work has attempted to use whole-genome sequence data from pathogens to reconstruct the transmission trees linking infectors and infectees in outbreaks. However, transmission trees from one outbreak do not generalize to future…

Quantitative Methods · Quantitative Biology 2023-10-24 Eben Kenah , Tom Britton , M. Elizabeth Halloran , Ira M. Longini

This article explores mathematical models for understanding the evolution of contagious diseases. The most widely known set of models are the compartmental ones, which are based on a set of differential equations. But these are not the only…

Populations and Evolution · Quantitative Biology 2021-12-07 C. O. S. Sorzano

We study contact epidemic models for the spread of infective diseases in finite populations. The size dependence enters in the infection rate. The dynamics of such models is then analyzed within the deterministic approximation, as well as…

Populations and Evolution · Quantitative Biology 2020-04-07 Ph. Blanchard , S. Nicolis

From pathogens and computer viruses to genes and memes, contagion models have found widespread utility across the natural and social sciences. Despite their success and breadth of adoption, the approach and structure of these models remain…

Human mobility and activity patterns mediate contagion on many levels, including the spatial spread of infectious diseases, diffusion of rumors, and emergence of consensus. These patterns however are often dominated by specific locations…

Physics and Society · Physics 2011-07-05 Duygu Balcan , Alessandro Vespignani

Models are often employed to integrate knowledge about epidemics across scales and simulate disease dynamics. While these approaches have played a central role in studying the mechanics underlying epidemics, we lack ways to reliably predict…

Populations and Evolution · Quantitative Biology 2023-11-09 Sudam Surasinghe , Ketty Kabengele , Paul E. Turner , C. Brandon Ogbunugafor

Stochastic processes can model many emerging phenomena on networks, like the spread of computer viruses, rumors, or infectious diseases. Understanding the dynamics of such stochastic spreading processes is therefore of fundamental interest.…

Social and Information Networks · Computer Science 2019-01-07 Gerrit Großmann , Verena Wolf

The interaction among spreading processes on a complex network is a nontrivial phenomenon of great importance. It has recently been realized that cooperative effects among infective diseases can give rise to qualitative changes in the…

Physics and Society · Physics 2020-02-25 Byungjoon Min , Claudio Castellano