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Pathogen introduction in plant communities can cause serious impact and biodiversity losses that may take long time to manage and restore. Effective control of epidemic spreading in the wild is a problem of paramount importance, because of…

种群与进化 · 定量生物学 2022-06-15 Ignacio Taguas , José A. Capitán , Juan C. Nuño

In the real world, many complex systems interact with other systems. In addition, the intra- or inter-systems for the spread of information about infectious diseases and the transmission of infectious diseases are often not random, but with…

物理与社会 · 物理学 2017-08-23 Junbo Jia , Zhen Jin , Xinchu Fu

Many models of virus propagation in Computer Networks inspired by {\bf SIS,SIR,}\\ {\bf SEIR}, etc. epidemic disease propagation mathematical models that can be found in the epidemiology field have been proposed in the last two decades. The…

最优化与控制 · 数学 2021-01-05 Carlos Rodriguez Lucatero

Most spreading processes require spatial proximity between agents. The stationary state of spreading dynamics in a population of mobile agents thus depends on the interplay between the time and length scales involved in the epidemic process…

统计力学 · 物理学 2024-03-05 Jorge P. Rodríguez , Matteo Paoluzzi , Demian Levis , Michele Starnini

Dynamical systems running on the top of complex networks has been extensively investigated for decades. But this topic still remains among the most relevant issues in complex network theory due to its range of applicability. The contact…

物理与社会 · 物理学 2021-02-03 Angélica S. Mata

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…

概率论 · 数学 2014-04-29 Frank G. Ball , David J. Sirl , Pieter Trapman

This paper deals with the statistical signal pro- cessing over graphs for tracking infection diffusion in social networks. Infection (or Information) diffusion is modeled using the Susceptible-Infected-Susceptible (SIS) model. Mean field…

社会与信息网络 · 计算机科学 2016-11-01 Vikram Krishnamurthy , Sujay Bhatt , Tavis Pedersen

We propose a new paradigm to design a network-based self-adaptive epidemic model that relies on the interplay between the network and its line graph. We implement this proposal on a Susceptible-Infected-Susceptible model in which both nodes…

适应与自组织系统 · 物理学 2024-03-05 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

Background: Recently developed techniques to study the spread of infectious diseases through networks make assumptions that the initial proportion infected is infinitesimal and the population behavior is static throughout the epidemic. The…

种群与进化 · 定量生物学 2012-08-17 Joel C. Miller

We use scale-free networks to study properties of the infected mass $M$ of the network during a spreading process as a function of the infection probability $q$ and the structural scaling exponent $\gamma$. We use the standard SIR model and…

无序系统与神经网络 · 物理学 2015-06-24 Lazaros K. Gallos , Panos Argyrakis

In this paper, we are concerned with two SIS epidemic reaction-diffusion models with mass action infection mechanism of the form $SI$, and study the spatial profile of population distribution as the movement rate of the infected individuals…

偏微分方程分析 · 数学 2023-01-04 Rui Peng , Zhi-an Wang , Guanghui Zhang , Maolin Zhou

The frequent emergence of diseases with the potential to become threats at local and global scales, such as influenza A(H1N1), SARS, MERS, and recently COVID-19 disease, makes it crucial to keep designing models of disease propagation and…

物理与社会 · 物理学 2020-08-27 I. A. Perez , M. A. Di Muro , C. E. La Rocca , L. A. Braunstein

We present a detailed analytical and numerical study for the spreading of infections in complex population networks with acquired immunity. We show that the large connectivity fluctuations usually found in these networks strengthen…

统计力学 · 物理学 2009-11-07 Yamir Moreno , Romualdo Pastor-Satorras , Alessandro Vespignani

Network epidemics is a ubiquitous model that can represent different phenomena and finds applications in various domains. Among its various characteristics, a fundamental question concerns the time when an epidemic stops propagating. We…

概率论 · 数学 2020-05-20 Daniel Figueiredo , Giulio Iacobelli , Seva Shneer

We study the effect of external infection sources on phase transitions in epidemic processes. In particular, we consider an epidemic spreading on a network via the SIS/SIR dynamics, which in addition is aided by external agents - sources…

社会与信息网络 · 计算机科学 2013-12-05 Siddhartha Banerjee , Avhishek Chatterjee , Sanjay Shakkottai

In this paper, we propose and analyze a reaction-diffusion susceptible-infected-susceptible (SIS) epidemic patch model. The individuals are assumed to reside in different patches, where they are able to move inside and among the patches.…

种群与进化 · 定量生物学 2023-01-18 Shanshan Chen , Yixiang Wu

Infectious diseases that spread silently through asymptomatic or pre-symptomatic infections represent a challenge for policy makers. A traditional way of achieving isolation of silent infectors from the community is through forward contact…

物理与社会 · 物理学 2023-11-09 Giulia de Meijere , Claudio Castellano

Models of disease spreading are critical for predicting infection growth in a population and evaluating public health policies. However, standard models typically represent the dynamics of disease transmission between individuals using…

物理与社会 · 物理学 2022-06-07 Christopher A. Browne , Daniel B. Amchin , Joanna Schneider , Sujit S. Datta

We study the dynamics of secondary infections on networks, in which only the individuals currently carrying a certain primary infection are susceptible to the secondary infection. In the limit of large sparse networks, the model is mapped…

概率论 · 数学 2018-05-23 Sam Moore , Peter Mörters , Tim Rogers

Traditional disease transmission models assume that the infectious period is exponentially distributed with a recovery rate fixed in time and across individuals. This assumption provides analytical and computational advantages, however it…

种群与进化 · 定量生物学 2024-01-30 Laura Di Domenico , Eugenio Valdano , Vittoria Colizza