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A theoretical framework for the description of Susceptible-Infected-Removed (SIR) spreading processes with synergistic transmission of infection on a lattice is developed. The model incorporates explicitly the effects of a time-dependent…

种群与进化 · 定量生物学 2013-12-25 Sergei Taraskin , Francisco J. Pérez-Reche

In this paper, we introduce a modified epidemic model on regular and scale-free networks respectively. We consider the birth rate $\delta$, cure rate $\gamma$, infection rate $\lambda$, $\alpha$ from the infectious disease, and death rate…

种群与进化 · 定量生物学 2013-02-14 Jingzhou Liu

Although traditional models of epidemic spreading focus on the number of infected, susceptible and recovered individuals, a lot of attention has been devoted to integrate epidemic models with population genetics. Here we develop an…

种群与进化 · 定量生物学 2021-11-24 Vitor M. Marquioni , Marcus A. M. de Aguiar

Changing environmental conditions can significantly affect the dynamics of disease spread. These changes may arise naturally or result from human interventions; in the latter case, lockdown measures that lead to abrupt but temporary…

统计力学 · 物理学 2026-05-29 Elad Korngut , Michael Assaf

The epidemic threshold of the susceptible-infected-susceptible (SIS) dynamics on random networks having a power law degree distribution with exponent $\gamma>3$ has been investigated using different mean-field approaches, which predict…

物理与社会 · 物理学 2015-06-19 Angélica S. Mata , Silvio C. Ferreira

Individuals change their behavior during an epidemic in response to whether they and/or those they interact with are healthy or sick. Healthy individuals are concerned about contracting a disease from their sick contacts and may utilize…

社会与信息网络 · 计算机科学 2016-04-19 Ceyhun Eksin , Jeff S. Shamma , Joshua S. Weitz

We study the qualitative properties of a spatial diffusive heterogeneous SIR model, that appears in mathematical epidemiology to describe the spread of an infectious disease in a population. The model we consider consists in a system of…

偏微分方程分析 · 数学 2020-05-15 Romain Ducasse

In this paper, we investigate the epidemic spreading for SIR model in weighted scale-free networks with nonlinear infectivity, where the transmission rate in our analytical model is weighted. Concretely, we introduce the infectivity…

种群与进化 · 定量生物学 2009-03-06 Xiangwei Chu , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou

We study SIS epidemic spreading processes unfolding on a recent generalisation of the activity-driven modelling framework. In this model of time-varying networks each node is described by two variables: activity and attractiveness. The…

物理与社会 · 物理学 2017-11-01 Iacopo Pozzana , Kaiyuan Sun , Nicola Perra

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

Understanding the dynamics of the spread of diseases within populations is critical for effective public health interventions. We extend the classical SIR model by incorporating additional complexities such as the introduction of a cure and…

种群与进化 · 定量生物学 2025-10-30 Daniel Perkins , Davis Hunter , Drake Brown , Trevor Garrity , Wyatt Pochman

In this letter, we investigate the detailed epidemic spreading process in scale-free networks with links' weights that denote familiarity between two individuals and find that spreading velocity reaches a peak quickly then decays in a…

统计力学 · 物理学 2009-11-10 Gang Yan , Tao Zhou , Jie Wang , Zhong-Qian Fu , Bing-Hong Wang

Most infectious diseases spread on a dynamic network of human interactions. Recent studies of social dynamics have provided evidence that spreading patterns may depend strongly on detailed micro-dynamics of the social system. We have…

物理与社会 · 物理学 2015-09-23 Arkadiusz Stopczynski , Alex Sandy Pentland , Sune Lehmann

A susceptible-infected-susceptible (SIS) model of multiple contagions on multilayer networks is developed to incorporate different spreading channels and disease mutations. The basic reproduction number for this model is estimated…

物理与社会 · 物理学 2020-03-31 Petar Jovanovski , Igor Tomovski , Ljupco Kocarev

Built environment supports all the daily activities and shapes our health. Leveraging informative street view imagery, previous research has established the profound correlation between the built environment and chronic, non-communicable…

计算机视觉与模式识别 · 计算机科学 2023-11-17 Zhenyu Han , Yanxin Xi , Tong Xia , Yu Liu , Yong Li

In this article, we proposed a susceptible-infected model with identical infectivity, in which, at every time step, each node can only contact a constant number of neighbors. We implemented this model on scale-free networks, and found that…

生物物理 · 物理学 2007-05-23 Tao Zhou , Jian-Guo Liu , Wen-Jie Bai , Guanrong Chen , Bing-Hong Wang

Most real-world networks are not isolated. In order to function fully, they are interconnected with other networks, and this interconnection influences their dynamic processes. For example, when the spread of a disease involves two species,…

物理与社会 · 物理学 2013-08-09 Huijuan Wang , Qian Li , Gregorio D'Agostino , Shlomo Havlin , H. Eugene Stanley , Piet Van Mieghem

The adoption of prophylaxis attitudes, such as social isolation and use of face masks, to mitigate epidemic outbreaks strongly depends on the support of the population. In this work, we investigate a susceptible-infected-recovered (SIR)…

物理与社会 · 物理学 2022-10-05 Diogo H. Silva , Celia Anteneodo , Silvio C. Ferreira

The spread of infectious diseases is often influenced by human mobility across different geographical regions. Although numerous studies have investigated how diseases like SARS and COVID-19 spread from China to various global locations,…

社会与信息网络 · 计算机科学 2025-05-22 Md. Arquam , Suchi Kumari , Utkarsh Tiwari , Mohammad Al-saffar

We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents. Broken links are either permanently removed or reconnected…

种群与进化 · 定量生物学 2007-11-07 Damian H. Zanette , Sebastian Risau Gusman