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Knowing which individuals can be more efficient in spreading a pathogen throughout a determinate environment is a fundamental question in disease control. Indeed, over the last years the spread of epidemic diseases and its relationship with…

Background: The global spread of the severe acute respiratory syndrome (SARS) epidemic has clearly shown the importance of considering the long-range transportation networks in the understanding of emerging diseases outbreaks. The…

其他定量生物学 · 定量生物学 2008-01-16 Vittoria Colizza , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Mathematical modeling of epidemic propagation on networks is extended to hypergraphs in order to account for both the community structure and the nonlinear dependence of the infection pressure on the number of infected neighbours. The exact…

动力系统 · 数学 2016-10-31 Ágnes Bodó , Gyula Y. Katona , Péter L. Simon

The rapid worldwide spread of the severe acute respiratory syndrome (SARS) demonstrated the potential threat an infectious disease poses in a closely interconnected and interdependent world. Here we introduce a probabilistic model which…

无序系统与神经网络 · 物理学 2009-11-10 L. Hufnagel , D. Brockmann , T. Geisel

Despite the progress in medical data collection the actual burden of SARS-CoV-2 remains unknown due to under-ascertainment of cases. This was apparent in the acute phase of the pandemic and the use of reported deaths has been pointed out as…

应用统计 · 统计学 2023-07-13 Anastasia Chatzilena , Nikolaos Demiris , Konstantinos Kalogeropoulos

We study the standard SIS model of epidemic spreading on networks where individuals have a fluctuating number of connections around a preferred degree $\kappa $. Using very simple rules for forming such preferred degree networks, we find…

统计力学 · 物理学 2012-12-05 Shivakumar Jolad , Wenjia Liu , B. Schmittmann , R. K. P. Zia

In this paper, we propose a Boltzmann-type kinetic model of the spreading of an infectious disease on a network. The latter describes the connections among countries, cities or districts depending on the spatial scale of interest. The…

物理与社会 · 物理学 2021-06-25 Nadia Loy , Andrea Tosin

Transportation networks play a critical part in the spread of infectious diseases between populations. In this work, we define a networked susceptible-exposed-infected-recovered epidemic process with loss of immunity over time (SEIRS) that…

最优化与控制 · 数学 2023-09-22 Brooks A. Butler , Raphael Stern , Philip E. Paré

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

系统与控制 · 电气工程与系统科学 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

Network epidemiology has become a core framework for investigating the role of human contact patterns in the spreading of infectious diseases. In network epidemiology represents the contact structure as a network of nodes (individuals)…

种群与进化 · 定量生物学 2014-06-10 Petter Holme

We model the spread of a SIS infection on Small World and random networks using weighted graphs. The entry $w_{ij}$ in the weight matrix W holds information about the transmission probability along the edge joining node $v_i$ and node…

综合数学 · 数学 2007-05-23 Britta Daudert , Bai-Lian Li

Infection dynamics have been studied extensively on complex networks, yielding insight into the effects of heterogeneity in contact patterns on disease spread. Somewhat separately, metapopulations have provided a paradigm for modeling…

物理与社会 · 物理学 2013-08-09 Jason Hindes , Sarabjeet Singh , Christopher R. Myers , David J. Schneider

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…

偏微分方程分析 · 数学 2026-01-30 Carolina Strecht-Fernandes , Fabio A. C. C. Chalub

Motivated by our intention to use SIR-type epidemiological models in the context of dynamic networks as provided by large-scale highly interacting inhomogeneous human crowds, we investigate in this framework possibilities to reduce the…

统计力学 · 物理学 2021-03-16 Matteo Colangeli , Adrian Muntean

Infectious diseases that incorporate pre-symptomatic transmission are challenging to monitor, model, predict and contain. We address this scenario by studying a variant of a stochastic susceptible-exposed-infected-recovered model on…

物理与社会 · 物理学 2021-05-07 Bo Li , David Saad

In the present paper, our goal is to establish a framework for the mathematical modelling and the analysis of the spread of an epidemic in a large population commuting regularly, typically along a time-periodic pattern, as is roughly…

种群与进化 · 定量生物学 2024-08-29 Pierre-Alexandre Bliman , Boureima Sangaré , Assane Savadogo

The spread of one disease, in some cases, can stimulate the spreading of another infectious disease. Here, we treat analytically a symmetric coinfection model for spreading of two diseases on a two-layer multiplex network. We allow layer…

物理与社会 · 物理学 2016-04-20 N. Azimi-Tafreshi

The spread of certain diseases can be promoted, in some cases substantially, by prior infection with another disease. One example is that of HIV, whose immunosuppressant effects significantly increase the chances of infection with other…

物理与社会 · 物理学 2014-08-04 M. E. J. Newman , C. R. Ferrario

Rapidly evolving viruses use antigenic drift as a key mechanism to evade host immunity and persist in real populations. While traditional models of antigenic drift and epidemic spread rely on low-dimensional antigenic spaces, genomic…

We study a dynamical model of epidemic spreading on complex networks in which there are explicit correlations among the node's connectivities. For the case of Markovian complex networks, showing only correlations between pairs of nodes, we…

统计力学 · 物理学 2009-11-07 Marian Boguna , Romualdo Pastor-Satorras