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Modeling epidemic dynamics plays an important role in studying how diseases spread, predicting their future course, and designing strategies to control them. In this letter, we introduce a model of SIR (susceptible-infected-removed) type…

种群与进化 · 定量生物学 2013-12-17 Li Chen , Fakhteh Ghanbarnejad , Weiran Cai , Peter Grassberger

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 infectious diseases, rumors, fashions, innovations are complex contagion processes, embedded both in networked and spatial contexts. Here we investigate the pattern dynamics of a complex contagion, where two agents, say $A$…

物理与社会 · 物理学 2019-02-18 Li Chen

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, disease progression, and quarantine. In addition, networks…

无序系统与神经网络 · 物理学 2007-05-23 Naoki Masuda , Norio Konno

Although suppressing the spread of a disease is usually achieved by investing in public resources, in the real world only a small percentage of the population have access to government assistance when there is an outbreak, and most must…

物理与社会 · 物理学 2018-02-14 Xiaolong Chen , Ruijie Wang , Ming Tang , Shimin Cai , H. Eugene Stanley , Lidia A. Braunstein

The spread of an infectious disease can, in some cases, promote the propagation of other pathogens favouring violent outbreaks, which cause a discontinuous transition to an endemic state. The topology of the contact network plays a crucial…

物理与社会 · 物理学 2018-03-21 Peng-Bi Cui , Francesca Colaiori , Claudio Castellano

This study is concerned with the dynamical behaviors of epidemic spreading over a two-layered interconnected network. Three models in different levels are proposed to describe cooperative spreading processes over the interconnected network,…

物理与社会 · 物理学 2017-02-15 Xiang Wei , Xiaoqun Wu , Shihua Chen , Jun-an Lu , Guanrong Chen

We develop a theory for the susceptible-infected-susceptible (SIS) epidemic model on networks that incorporate both network structure and dynamic correlations. This theory can account for the multistage onset of the epidemic phase in…

物理与社会 · 物理学 2021-04-07 Chao-Ran Cai , Zhi-Xi Wu , Petter Holme

In this paper, we introduce a general framework for co-infection as cooperative SIR dynamics. We first solve analytically CGCG model [1] and then the generalized model in symmetric scenarios. We calculate transition points, order parameter,…

种群与进化 · 定量生物学 2019-07-24 Fatemeh Zarei , Saman Moghimi-Araghi , Fakhteh Ghanbarnejad

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

We consider the qualitative behavior of a mathematical model for transmission dynamics with two nonlinear stages of contagion. The proposed model is inspired by phenomena occurring in epidemiology (spread of infectious diseases) or social…

动力系统 · 数学 2021-05-04 Julian Heidecke , Maria Vittoria Barbarossa

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

We investigate the effects of cooperativity between contagion processes that spread and persist in a host population. We propose and analyze a dynamical model in which individuals that are affected by one transmissible agent $A$ exhibit a…

物理与社会 · 物理学 2017-11-22 Li Chen , Fakhteh Ghanbarnejad , Dirk Brockmann

Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, and a significant minority having relatively very many…

物理与社会 · 物理学 2016-12-21 César Parra-Rojas , Thomas House , Alan J. McKane

Multiple viruses are widely studied because of their negative effect on the health of host as well as on whole population. The dynamics of coinfection is important in this case. We formulated a SIR model that describes the coinfection of…

动力系统 · 数学 2019-05-14 Samia Ghersheen , Vladimir Kozlov , Vladimir G. Tkachev , Uno Wennergren

In this paper, we propose a modified susceptible-infected-recovered (SIR) model, in which each node is assigned with an identical capability of active contacts, $A$, at each time step. In contrast to the previous studies, we find that on…

物理与社会 · 物理学 2007-05-23 Rui Yang , Bing-Hong Wang , Jie Ren , Wen-Jie Bai , Zhi-Wen Shi , Wen-Xu Wang , Tao Zhou

One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

物理与社会 · 物理学 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

When an infection spreads in a community, an individual's probability of becoming infected depends on both her susceptibility and exposure to the contagion through contact with others. While one often has knowledge regarding an individual's…

社会与信息网络 · 计算机科学 2017-12-05 Maggie Makar , John Guttag , Jenna Wiens

Real epidemic spreading networks often composed of several kinds of networks interconnected with each other, and the interrelated networks have the different topologies and epidemic dynamics. Moreover, most human diseases are derived from…

物理与社会 · 物理学 2017-06-21 Zhongpu Xu , Xinchu Fu

The epidemic spreading has been widely studied when each node may get infected by an infected neighbor with the same rate. However, the infection rate between a pair of nodes is usually heterogeneous and even correlated with their nodal…

物理与社会 · 物理学 2017-02-01 Bo Qu , Huijuan Wang
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