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A model for epidemics on an adaptive network is considered. Nodes follow an SIRS (susceptible-infective-recovered-susceptible) pattern. Connections are rewired to break links from non-infected nodes to infected nodes and are reformed to…

Populations and Evolution · Quantitative Biology 2009-11-13 Leah B. Shaw , Ira B. Schwartz

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…

Statistical Mechanics · Physics 2012-12-05 Shivakumar Jolad , Wenjia Liu , B. Schmittmann , R. K. P. Zia

Most real networks are characterized by connectivity patterns that evolve in time following complex, non-Markovian, dynamics. Here we investigate the impact of this ubiquitous feature by studying the Susceptible-Infected-Recovered (SIR) and…

Physics and Society · Physics 2016-01-20 Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

Accurate identification of effective epidemic threshold is essential for understanding epidemic dynamics on complex networks. The existing studies on the effective epidemic threshold of the susceptible-infected-removed (SIR) model generally…

Physics and Society · Physics 2016-06-14 Panpan Shu , Wei Wang , Ming Tang , Pengcheng Zhao , Yi-Cheng Zhang

The robustness of human social networks against epidemic propagation relies on the propensity for physical contact adaptation. During the early phase of infection, asymptomatic carriers exhibit the same activity level as susceptible…

Social and Information Networks · Computer Science 2024-03-04 Masoumeh Moradian , Aresh Dadlani , Rasul Kairgeldin , Ahmad Khonsari

Transmission rates in epidemic outbreaks may vary over time depending on the societal response. Non-pharmacological mitigation strategies such as social distancing and the adoption of protective equipment aim precisely at reducing…

Populations and Evolution · Quantitative Biology 2020-12-24 Elisa Franco

Social distancing strategies have been adopted by governments to manage the COVID-19 pandemic, since the first outbreak began. However, further epidemic waves keep out the return of economic and social activities to their standard levels of…

Optimization and Control · Mathematics 2021-06-07 J. E. Sereno , A. D' Jorge , A. Ferramosca , E. A. Hernandez-Vargas , A. H. Gonzalez

Social interactions are stratified in multiple contexts and are subject to complex temporal dynamics. The systematic study of these two features of social systems has started only very recently mainly thanks to the development of multiplex…

Physics and Society · Physics 2018-12-12 Quan-Hui Liu , Xinyue Xiong , Qian Zhang , Nicola Perra

Absent a drug or vaccine, containing epidemic outbreaks is achieved by means of social distancing, specifically mobility restrictions and lock-downs. Such measures impose a hurtful toll on the economy, and are difficult to sustain for…

Populations and Evolution · Quantitative Biology 2020-11-24 Dror Meidan , Nava Schulmann , Reuven Cohen , Simcha Haber , Eyal Yaniv , Ronit Sarid , Baruch Barzel

We propose a network behavioral-feedback Susceptible-Infected-Recovered (SIR) epidemic model in which the interaction matrix describing the infection rates across subpopulations depends in feedback on the current epidemic state. This model…

Dynamical Systems · Mathematics 2025-07-08 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani

The mobility patterns of individuals in China during the early outbreak of the COVID-19 pandemic exhibit reversible changes -- in many regions, the mobility first decreased significantly and later restored. Based on this observation, here…

Physics and Society · Physics 2022-10-25 Xincheng Shu , Zhongyuan Ruan

Epidemic spread on networks is one of the most studied dynamics in network science and has important implications in real epidemic scenarios. Nonetheless, the dynamics of real epidemics and how it is affected by the underline structure of…

Physics and Society · Physics 2020-09-08 Bnaya Gross , Shlomo Havlin

This paper investigates a behavioral-feedback SIR model in which the infection rate adapts dynamically based on the fractions of susceptible and infected individuals. We introduce an invariant of motion and we characterize the peak of…

Populations and Evolution · Quantitative Biology 2025-09-17 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Francesca Parise

Despite the advanced stage of epidemic modeling, there is a major demand for methods to incorporate behavioral responses to the spread of a disease such as social distancing and adoption of prevention methods. Mobility plays an important…

Physics and Society · Physics 2022-03-14 Paulo Cesar Ventura , Alberto Aleta , Francisco A. Rodrigues , Yamir Moreno

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…

Physics and Society · Physics 2021-02-03 Angélica S. Mata

In real social networks, person-to-person interactions are known to be heterogeneous, which can affect the way a disease spreads through a population, reaches a tipping point in the fraction of infected individuals, and becomes an epidemic.…

Physics and Society · Physics 2020-05-12 Ignacio A. Perez , Paul A. Trunfio , Cristian E. La Rocca , Lidia A. Braunstein

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…

Physics and Society · Physics 2015-06-19 Angélica S. Mata , Silvio C. Ferreira

Metapopulation epidemic models describe epidemic dynamics in networks of spatially distant patches connected with pathways for migration of individuals. In the present study, we deal with a susceptible-infected-recovered (SIR)…

Physics and Society · Physics 2019-08-22 Akari Matsuki , Gouhei Tanaka

We demonstrate that the susceptible-infected-susceptible (SIS) model on complex networks can have an inactive Griffiths phase characterized by a slow relaxation dynamics. It contrasts with the mean field theoretical prediction that the SIS…

Physics and Society · Physics 2015-06-12 Hyun Keun Lee , Pyoung-Seop Shim , Jae Dong Noh

We study a susceptible-infected-recovered (SIR) epidemic model on a network of $n$ interacting subpopulations. We analyze the transient and asymptotic behavior of the infection dynamics in each node of the network. In contrast to the…

Dynamical Systems · Mathematics 2024-03-18 Martina Alutto , Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani