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Epidemic spreading has been studied for a long time and most of them are focused on the growing aspect of a single epidemic outbreak. Recently, we extended the study to the case of recurrent epidemics (Sci. Rep. {\bf 5}, 16010 (2015)) but…

物理与社会 · 物理学 2017-05-29 Muhua Zheng , Ming Zhao , Byungjoon Min , Zonghua Liu

Diffusion processes are governed by external triggers and internal dynamics in complex systems. Timely and cost-effective control of infectious disease spread critically relies on uncovering the underlying diffusion mechanisms, which is…

种群与进化 · 定量生物学 2022-02-09 Minkyoung Kim , Dean Paini , Raja Jurdak

We study the spreading of cooperative infections in an empirical temporal network of contacts between people, including health care workers and patients, in a hospital. The system exhibits a phase transition leading to one or several…

物理与社会 · 物理学 2018-02-08 Jorge P. Rodríguez , Fakhteh Ghanbarnejad , Víctor M. Eguíluz

In this paper we study invasion probabilities and invasion times of cooperative parasites spreading in spatially structured host populations. The spatial structure of the host population is given by a random geometric graph on $[0,1]^n$,…

概率论 · 数学 2023-08-16 Vianney Brouard , Cornelia Pokalyuk , Marco Seiler , Hung Tran

This paper presents a law of large numbers result, as the size of the population tends to infinity, of SIR stochastic epidemic models, for a population distributed over $L$ distinct patches (with migrations between them) and $K$ distinct…

概率论 · 数学 2022-06-24 Raphaël Forien , Guodong Pang , Étienne Pardoux

Once an epidemic outbreak has been effectively contained through non-pharmaceutical interventions, a safe protocol is required for the subsequent release of social distancing restrictions to prevent a disastrous resurgence of the infection.…

The metapopulation network model is effectively used to study the spatial spread of epidemics with individuals mobility. Considering the time-varying nature of individual activity and the preferences for attractive destinations in…

物理与社会 · 物理学 2023-11-27 Lang Zeng , Ming Tang , Ying Liu , Seung Yeop Yang , Younghae Do

We study a discrete Susceptible-Infected-Recovered (SIR) model for the spread of infectious disease on a homogeneous tree and the limit behavior of the model in the case when the tree vertex degree tends to infinity. We obtain the…

概率论 · 数学 2022-07-08 Alexander Gairat , Vadim Shcherbakov

We are interested in the geometry of the ``infection tree'' in a stochastic SIR (Susceptible-Infectious-Recovered) model, starting with a single infectious individual. This tree is constructed by drawing an edge between two individuals when…

概率论 · 数学 2025-04-07 Emmanuel Kammerer , Igor Kortchemski , Delphin Sénizergues

We consider multiple diseases spreading in a static Configuration Model network. We make standard assumptions that infection transmits from neighbor to neighbor at a disease-specific rate and infected individuals recover at a…

种群与进化 · 定量生物学 2015-06-11 Joel C. Miller

We investigate the spread of correlations carried by an excitation in a 1-dimensional lattice system with high on-site energy disorder and long-range couplings with a power-law dependence on the distance ($\propto r^{-\mu}$). The increase…

无序系统与神经网络 · 物理学 2022-06-01 Karol Kawa , Paweł Machnikowski

The spread of an infectious disease depends on intrinsic properties of the disease as well as the connectivity and actions of the population. This study investigates the dynamics of an SIR type model which accounts for human tendency to…

动力系统 · 数学 2021-07-26 Hannah Scanlon , John Gemmer

Patching nodes is an effective network defense strategy for malware control at early stages, and its performance is primarily dependent on how accurately the infection propagation is characterized. In this paper, we aim to design a novel…

网络与互联网体系结构 · 计算机科学 2025-11-03 Minh Phu Vuong , Chul-Ho Lee , Do Young Eun

Modeling long-range epidemic spreading in a random environment, we consider a quenched disordered, $d$-dimensional contact process with infection rates decaying with the distance as $1/r^{d+\sigma}$. We study the dynamical behavior of the…

无序系统与神经网络 · 物理学 2015-04-02 R. Juhász , I. A. Kovács , F. Iglói

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

In this paper, we study the spreading speed of complex contagions in a social network. A $k$-complex contagion starts from a set of initially infected seeds such that any node with at least $k$ infected neighbors gets infected. Simple…

社会与信息网络 · 计算机科学 2014-08-12 Roozbeh Ebrahimi , Jie Gao , Golnaz Ghasemiesfeh , Grant Schoenebeck

The initial phase of an epidemic is often characterized by an exponential increase in the number of infected individuals. In this paper, we predict the exponential spreading rate of an epidemic on a complex network. We first find an…

物理与社会 · 物理学 2025-04-21 Samuel Cure , Florian G. Pflug , Simone Pigolotti

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…

We study the critical effect of an intermittent social distancing strategy on the propagation of epidemics in adaptive complex networks. We characterize the effect of our strategy in the framework of the susceptible-infected-recovered…

物理与社会 · 物理学 2012-04-02 L. D. Valdez , P. A. Macri , L. A. Braunstein

We present simulation results for the contact process on regular, cubic networks that are composed of a one-dimensional lattice and a set of long edges with unbounded length. Networks with different sets of long edges are considered, that…

统计力学 · 物理学 2015-05-13 R. Juhász , G. Ódor