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Epidemic spreading processes on dynamic multiplex networks provide a more accurate description of natural spreading processes than those on single layered networks. To describe the influence of different individuals in the awareness layer…

Social and Information Networks · Computer Science 2025-11-25 Minyu Feng , Xiangxi Li , Yuhan Li , Qin Li

We study an epidemic propagation between $M$ population centra. The novelty of the model is in analyzing the migration of host (remaining in the same centre) and guest (migrated to another centre) populations separately. Even in the…

Populations and Evolution · Quantitative Biology 2014-01-28 Igor Sazonov , Mark Kelbert , Michael B. Gravenor

Nowadays, epidemic models provide an appropriate tool for describing the propagation of biological viruses in human or animal populations, or rumours and other kinds of information in social networks and malware in both computer and ad hoc…

Optimization and Control · Mathematics 2020-07-21 Vladislav Taynitskiy , Elena Gubar , Denis Fedyanin , Ilya Petrov , Quanyan Zhu

Most of the common used models of epidemic spreading allow contaminating many neighbors of a particular node in the network. They are usually analyzed by differential equations on probability vectors. We propose a model of epidemic…

Physics and Society · Physics 2018-02-14 Wojciech Ganczarek

We propose a novel framework to study viral spreading processes in metapopulation models. Large subpopulations (i.e., cities) are connected via metalinks (i.e., roads) according to a metagraph structure (i.e., the traffic infrastructure).…

Physics and Society · Physics 2013-08-20 Victor M. Preciado , Michael Zargham

We study the effect of motion on disease spreading in a system of random walkers which additionally perform long-distance jumps. A small percentage of jumps in the agent motion is sufficient to destroy the local correlations and to produce…

Physics and Society · Physics 2009-11-13 Arturo Buscarino , Luigi Fortuna , Mattia Frasca , Vito Latora

The transmission dynamics of Tuberculosis (TB) involve complex epidemiological and socio-economical interactions between individuals living in highly distinct regional conditions. The level of exogenous reinfection and first time infection…

Populations and Evolution · Quantitative Biology 2016-09-15 Victor Moreno , Baltazar Espinoza , Kamal Barley , Marlio Paredes , Derdei Bichara , Anuj Mubayi , Carlos Castillo-Chavez

We create a network model to study the spread of an epidemic through physically proximate and accidental daily human contacts in a city, and simulate outcomes for two kinds of agents - poor and non-poor. Under non-intervention, peak…

Physics and Society · Physics 2021-01-27 Anand Sahasranaman , Henrik Jeldtoft Jensen

We show that the basic reproduction number of an SIS patch model with standard incidence is either strictly decreasing and strictly convex with respect to the diffusion coefficient of infected subpopulation if the patch reproduction numbers…

Populations and Evolution · Quantitative Biology 2020-01-03 Daozhou Gao , Chao-Ping Dong

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

Classical compartmental models in epidemiology often assume a homogeneous population for simplicity, which neglects the inherent heterogeneity among individuals. This assumption frequently leads to inaccurate predictions when applied to…

Populations and Evolution · Quantitative Biology 2024-09-09 Ning Jiang , Weiqi Chu , Yao Li

Disease spread in most biological populations requires the proximity of agents. In populations where the individuals have spatial mobility, the contact graph is generated by the "collision dynamics" of the agents, and thus the evolution of…

Physics and Society · Physics 2007-06-07 Z. Toroczkai , H. Guclu

Global transport and communication networks enable information, ideas and infectious diseases now to spread at speeds far beyond what has historically been possible. To effectively monitor, design, or intervene in such epidemic-like…

Physics and Society · Physics 2020-02-13 Sam Moore , Tim Rogers

The shape of an epidemic wave in simple epidemic models applies to a homogeneous distribution of infected people in the population. In large inhomogeneous systems, at country-scale for instance, the wave shape is similar except for the…

Chemical Physics · Physics 2022-11-21 L. Vanel

In this paper we consider a model for the spread of a stochastic SIR (Susceptible $\to$ Infectious $\to$ Recovered) epidemic on a network of individuals described by a random intersection graph. Individuals belong to a random number of…

Probability · Mathematics 2014-04-29 Frank G. Ball , David J. Sirl , Pieter Trapman

A model for the spread of an infection is analyzed for different population structures. The interactions within the population are described by small world networks, ranging from ordered lattices to random graphs. For the more ordered…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Marcelo Kuperman , Guillermo Abramson

Although there is always an interplay between the dynamics of information diffusion and disease spreading, the empirical research on the systemic coevolution mechanisms connecting these two spreading dynamics is still lacking. Here we…

Physics and Society · Physics 2016-07-07 Wei Wang , Quan-Hui Liu , Shi-Min Cai , Ming Tang , Lidia A. Braunstein , H. Eugene Stanley

We introduce a model for the evolution of sexually transmitted diseases, in which the social behavior is incorporated as a determinant factor for the further propagation of the infection. The system may be regarded as a society of agents…

Statistical Mechanics · Physics 2009-11-07 Sebatian Goncalves , Marcelo Kuperman

We introduce a kinetic model that couples the movement of a population of individuals with the dynamics of a pathogen in the same population. We consider that transmission occurs when a susceptible and an infectious individual are…

Analysis of PDEs · Mathematics 2026-01-30 Carolina Strecht-Fernandes , Fabio A. C. C. Chalub

Infectious diseases spread through human networks. Susceptible-Infected-Removed (SIR) model is one of the epidemic models to describe infection dynamics on a complex network connecting individuals. In the metapopulation SIR model, each node…

Physics and Society · Physics 2015-08-27 Kanako Mizuno , Kazue Kudo