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The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

物理与社会 · 物理学 2018-05-09 Clara Granell , Peter J. Mucha

It is often useful to represent the infectious dynamics of mobile agents by metapopulation models. In such a model, metapopulations form a static network, and individuals migrate from one metapopulation to another. It is known that…

无序系统与神经网络 · 物理学 2010-09-09 Naoki Masuda

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…

物理与社会 · 物理学 2015-06-12 Halvor Lund , Ludvig Lizana , Ingve Simonsen

The structure of heterogeneous networks and human mobility patterns profoundly influence the spreading of endemic diseases. In small-scale communities, individuals engage in social interactions within confined environments, such as homes…

物理与社会 · 物理学 2025-05-20 Yusheng Li , Yichao Yao , Minyu Feng , Tina P. Benko , Matjaž Perc , Jernej Završnik

Most epidemic models assume equal mixing among members of a population. An alternative approach is to model a population as random network in which individuals may have heterogeneous connectivity. This paper builds on previous research by…

物理与社会 · 物理学 2007-05-23 Erik Volz

In the present paper, we are concerned with an SIS epidemic reaction-diffusion model governed by mass action infection mechanism and linear birth-death growth with no flux boundary condition. By performing qualitative analysis, we study the…

偏微分方程分析 · 数学 2018-07-11 Huicong Li , Rui Peng , Zhi-An Wang

In a prior study, a novel deterministic compartmental model known as the SEIHRK model was introduced, shedding light on the pivotal role of test kits as an intervention strategy for mitigating epidemics. Particularly in heterogeneous…

his paper describes and analyzes the spatial spread of tuberculosis (TB) on complex metapopulation, that is, networks of populations connected by migratory flows whose configurations are described in terms of connectivity distribution of…

动力系统 · 数学 2015-03-13 Berge Tsanou , Samuel Bowong , Jean Jules Tewa

The networked structure of contacts shapes the spreading of epidemic processes. Recent advances on network theory have improved our understanding of the epidemic processes at large scale. The relevance of several considerations still needs…

物理与社会 · 物理学 2019-02-21 Sergio Gómez , Alberto Fernández , Sandro Meloni , Alex Arenas

We study a coupled epidemic-mobility model in which, at each time, individuals move in a network of spatially-distributed regions (sub-populations) according to a Continuous Time Markov Chain (CTMC) and subsequently interact with the local…

系统与控制 · 电气工程与系统科学 2019-09-30 Vishal Abhishek , Vaibhav Srivastava

The metapopulation framework is adopted in a wide array of disciplines to describe systems of well separated yet connected subpopulations. The subgroups or patches are often represented as nodes in a network whose links represent the…

物理与社会 · 物理学 2013-03-27 Suyu Liu , Andrea Baronchelli , Nicola Perra

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…

物理与社会 · 物理学 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

We study how international flights can facilitate the spread of an epidemic to a worldwide scale. We combine an infrastructure network of flight connections with a population density dataset to derive the mobility network, and then we…

物理与社会 · 物理学 2021-07-26 Hugo Dolan , Riccardo Rastelli

This paper considers a susceptible-infected-susceptible (SIS) epidemic reaction-diffusion model with no-flux boundary conditions and varying total population. The interaction of the susceptible and infected people is describe by the…

偏微分方程分析 · 数学 2024-12-13 Rui Peng , Rachidi B. Salako , Yixiang Wu

Epidemic spread in single-host systems strongly depends on the population's contact network. However, little is known regarding the spread of epidemics across networks representing populations of multiple hosts. We explored cross-species…

种群与进化 · 定量生物学 2017-12-06 Shai Pilosof , Gili Greenbaum , Boris R. Krasnov , Yuval R. Zelnik

In this paper we study some mathematical models describing evolution of population density and spread of epidemics in population systems in which spatial movement of individuals depends only on the departure and arrival locations and does…

泛函分析 · 数学 2014-03-24 Shangbin Cui , Meng Bai

The spatial structure of populations is a key element in the understanding of the large scale spreading of epidemics. Motivated by the recent empirical evidence on the heterogeneous properties of transportation and commuting patterns among…

种群与进化 · 定量生物学 2008-03-19 Vittoria Colizza , Alessandro Vespignani

The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but illustrative…

种群与进化 · 定量生物学 2019-07-24 Juan G. Calvo , Alberto Hernández , Mason A. Porter , Fabio Sanchez

We present a thorough inspection of the dynamical behavior of epidemic phenomena in populations with complex and heterogeneous connectivity patterns. We show that the growth of the epidemic prevalence is virtually instantaneous in all…

无序系统与神经网络 · 物理学 2007-05-23 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

The analysis of contagion-diffusion processes in metapopulations is a powerful theoretical tool to study how mobility influences the spread of communicable diseases. Nevertheless, many metapopulation approaches use indistinguishable agents…

物理与社会 · 物理学 2022-04-20 Pablo Valgañón , David Soriano-Paños , Alex Arenas , Jesús Gómez-Gardeñes
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