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We present a stochastic epidemic model to study the effect of various preventive measures, such as uniform reduction of contacts and transmission, vaccination, isolation, screening and contact tracing, on a disease outbreak in a…

Populations and Evolution · Quantitative Biology 2022-07-08 Martina Favero , Gianpaolo Scalia Tomba , Tom Britton

We investigate a model for spatial epidemics explicitly taking into account bi-directional movements between base and destination locations on individual mobility networks. We provide a systematic analysis of generic dynamical features of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

Resource diffusion is an ubiquitous phenomenon, but how it impacts epidemic spreading has received little study. We propose a model that couples epidemic spreading and resource diffusion in multiplex networks. The spread of disease in a…

Physics and Society · Physics 2018-06-13 Xiaolong Chen , Wei Wang , Shimin Cai , H. Eugene Stanley , Lidia A. Braunstein

We analyze four models of epidemic spreading using a stochastic approach in which the primary stochastic variables are the numbers of individuals in each class. The stochastic approach is described by a master equation and the transition…

Statistical Mechanics · Physics 2020-10-28 Tânia Tomé , Mário J. de Oliveira

Real epidemic spreading networks often composed of several kinds of networks interconnected with each other, and the interrelated networks have the different topologies and epidemic dynamics. Moreover, most human diseases are derived from…

Physics and Society · Physics 2017-06-21 Zhongpu Xu , Xinchu Fu

Pandemics, in addition to affecting the health of populations, can have huge impacts on their social and economic behavior. These factors, on the other hand, have the potential to feed back to and influence the disease spreading. It is…

Physics and Society · Physics 2022-09-28 Jan E. Snellman , Rafael A. Barrio , Kimmo K. Kaski , Maarit J. Korpi--Lagg

A theory of the spread of epidemics is formulated on the basis of pairwise interactions in a dilute system of random walkers (infected and susceptible animals) moving in n dimensions. The motion of an animal pair is taken to obey a…

Biological Physics · Physics 2014-08-26 V. M. Kenkre , S. Sugaya

Our chances to halt epidemic outbreaks rely on how accurately we represent the population structure underlying the disease spread. When analyzing global epidemics this force us to consider metapopulation models taking into account intra-…

Populations and Evolution · Quantitative Biology 2007-12-10 Alexei Vazquez

We present a local spread model of disease transmission on a regular network and compare different control options ranging from treating the whole population to local control in a well-defined neighborhood of an infectious individual.…

Biological Physics · Physics 2015-05-30 Katarzyna Oles , Ewa Gudowska-Nowak , Adam Kleczkowski

The spreading of an epidemic is determined by the connectiviy patterns which underlie the population. While it has been noted that a virus spreads more easily on a network in which global distances are small, it remains a great challenge to…

Statistical Mechanics · Physics 2007-05-23 Thomas Petermann , Paolo De Los Rios

Understanding individual decisions in a world where communications and information move instantly via cell phones and the internet, contributes to the development and implementation of policies aimed at stopping or ameliorating the spread…

Physics and Society · Physics 2020-03-31 Asma Azizi , Cesar Montalvo , Baltazar Espinoza , Yun Kang , Carlos Castillo-Chavez

Despite extensive work on the interplay between traffic dynamics and epidemic spreading, the control of epidemic spreading by routing strategies has not received adequate attention. In this paper, we study the impact of efficient routing…

Physics and Society · Physics 2016-11-23 Han-Xin Yang , Zhi-Xi Wu

It is well known that behavioral changes in contact patterns may significantly affect the spread of an epidemic outbreak. Here we focus on simple endemic models for recurrent epidemics, by modelling the social contact rate as a function of…

Populations and Evolution · Quantitative Biology 2013-09-16 Alberto d'Onofrio , Piero Manfredi

In this work, the spread of a contagious disease on a society where the individuals may take precautions is modeled. The primary assumption is that the infected individuals transmit the infection to the susceptible members of the community…

Physics and Society · Physics 2021-03-16 Semra Gunduc

We study a three-species cyclic model whose organisms are vulnerable to contamination with an infectious disease which propagates person-to-person. We consider that individuals of one species perform an evolutionary self-preservation…

Populations and Evolution · Quantitative Biology 2024-06-05 J. Menezes

We consider the spread of infectious diseases through a Mean Field Game version of a SIR compartmental model with social structure, in which individuals are grouped by their age class and interact together in different settings. In our game…

Physics and Society · Physics 2022-12-14 Louis Bremaud , Denis Ullmo

The study proposes a modeling framework for investigating the disease dynamics with adaptive human behavior during a disease outbreak, considering the impacts of both local observations and global information. One important application…

Physics and Society · Physics 2020-08-26 Xinwu Qian , Jiawei Xue , Satish V. Ukkusuri

We review and introduce a generalized reaction-diffusion approach to epidemic spreading in a metapopulation modeled as a complex network. The metapopulation consists of susceptible and infected individuals that are grouped in subpopulations…

Physics and Society · Physics 2015-06-12 Halvor Lund , Ludvig Lizana , Ingve Simonsen

In this paper, we study how interactions between populations impact epidemic spread. We extend the classical SEIR model to include both integration-based disease transmission simulation and population flow. Our model differs from existing…

Physics and Society · Physics 2021-07-02 Lauren Streitmatter , Peter Zhang

The study of epidemic spreading on populations of networked individuals has seen recently a great deal of significant progresses. A common point of all past studies is, however, that there is only one peak of infected density in each single…

Physics and Society · Physics 2018-05-09 Muhua Zheng , Wei Wang , Ming Tang , Jie Zhou , S. Boccaletti , Zonghua Liu