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We study the impact on the epidemiological dynamics of a class of restrictive measures that are aimed at reducing the number of contacts of individuals who have a higher risk of being infected with a transmittable disease. Such measures are…

Populations and Evolution · Quantitative Biology 2021-09-15 Giacomo Cacciapaglia , Stefan Hohenegger , Francesco Sannino

For preventing the spread of epidemics such as the coronavirus disease COVID-19, social distancing and the isolation of infected persons are crucial. However, existing reaction-diffusion equations for epidemic spreading are incapable of…

Populations and Evolution · Quantitative Biology 2020-11-18 Michael te Vrugt , Jens Bickmann , Raphael Wittkowski

Infectious disease superspreading caused by heterogeneity in contact behavior has been observed to be an important determinant of epidemic dynamics and size in both empirical and theoretical settings. However, it has also been observed that…

Populations and Evolution · Quantitative Biology 2026-01-27 Ari S. Freedman , Bjarke F. Nielsen , Maximillian M. Nguyen , Laurent Hébert-Dufresne , Simon A. Levin

Many countries have passed their first COVID-19 epidemic peak. Traditional epidemiological models describe this as a result of non-pharmaceutical interventions that pushed the growth rate below the recovery rate. In this new phase of the…

Physics and Society · Physics 2020-08-31 Stefan Thurner , Peter Klimek , Rudolf Hanel

The success of an infectious disease to invade a population is strongly controlled by the population's specific connectivity structure. Here a network model is presented as an aid in understanding the role of social behavior and…

Cellular Automata and Lattice Gases · Physics 2007-07-10 Anna Litvak-Hinenzon , Lewi Stone

The spreading of virus infection is here simulated over artificial human networks. Here, the real-space urban life of people is modeled as a scale-free network with constraints. A scale-free network has been adopted for modeling on-line…

Physics and Society · Physics 2020-04-30 Yukio Ohsawa

We discuss various models for epidemics on networks that rely on Markov chains. Random walks on graphs are often used to predict epidemic spread and to investigate possible control actions to mitigate them. In this study, we demonstrate…

Physics and Society · Physics 2022-07-07 Sooyeong Kim , Jane Breen , Ekaterina Dudkina , Federico Poloni , Emanuele Crisostomi

We investigate the effects of risk perception in a simple model of epidemic spreading. We assume that the perception of the risk of being infected depends on the fraction of neighbors that are ill. The effect of this factor is to decrease…

Populations and Evolution · Quantitative Biology 2007-12-06 Franco Bagnoli , Pietro Lio , Luca Sguanci

High impact epidemics constitute one of the largest threats humanity is facing in the 21st century. Testing, contact tracing and quarantining are critical in slowing down epidemic dynamics, but may prove insufficient for highly contagious…

Populations and Evolution · Quantitative Biology 2021-06-09 Davide Scarselli , Nazmi Burak Budanur , Marc Timme , Björn Hof

We introduce a methodology to guarantee safety against the spread of infectious diseases by viewing epidemiological models as control systems and by considering human interventions (such as quarantining or social distancing) as control…

Systems and Control · Electrical Eng. & Systems 2022-11-21 Tamas G. Molnar , Andrew W. Singletary , Gabor Orosz , Aaron D. Ames

To contain the propagation of emerging diseases that are transmissible from human to human, non-pharmaceutical interventions (NPIs) aimed at reducing the interactions between humans are usually implemented. One example of the latter kind of…

Physics and Society · Physics 2021-05-21 Paulo Cesar Ventura , Alberto Aleta , Francisco Aparecido Rodrigues , Yamir Moreno

We revisit well-established concepts of epidemiology, the Ising-model, and percolation theory. Also, we employ a spin $S$ = 1/2 Ising-like model and a (logistic) Fermi-Dirac-like function to describe the spread of Covid-19. Our analysis…

Populations and Evolution · Quantitative Biology 2021-04-28 Isys F. Mello , Lucas Squillante , Gabriel O. Gomes , Antonio C. Seridonio , M. de Souza

Behavior-disease models suggest that pandemics can be contained cost-effectively if individuals take preventive actions when disease prevalence rises among their close contacts. However, assessing local awareness behavior in real-world…

Physics and Society · Physics 2025-04-16 Gergely Ódor , Márton Karsai

Compartmental models of epidemics are widely used to forecast the effects of communicable diseases such as COVID-19 and to guide policy. Although it has long been known that such processes take place on social networks, the assumption of…

Physics and Society · Physics 2024-03-14 Samuel Johnson

When an epidemic spreads in a population, individuals may adaptively change the structure of their social contact network to reduce risk of infection. Here we study the spread of an epidemic on an adaptive network with community structure.…

Populations and Evolution · Quantitative Biology 2012-12-14 Ilker Tunc , Leah B. Shaw

Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

This paper investigates epidemic control behavioral synchronization for a class of complex networks resulting from spread of epidemic diseases via pinning feedback control strategy. Based on the quenched mean field theory, epidemic control…

Physics and Society · Physics 2019-03-27 Pan Yang , Zhongpu Xu , Jianwen Feng , Xinchu Fu

The evolution of network structure and the spreading of epidemic are common coexistent dynamical processes. In most cases, network structure is treated either static or time-varying, supposing the whole network is observed in a same time…

Physics and Society · Physics 2016-03-23 Yanjun Lei , Xin Jiang , Quantong Guo , Yifang Ma , Meng Li , Zhiming Zheng

Drug resistance and strong contacts actually play crucial roles in epidemic spread in complex systems. Nevertheless, neither theoretical model or methodology is proposed to address this. We thus consider an edge-based epidemic spread model…

Physics and Society · Physics 2017-09-13 Peng-Bi Cui , Lei Gao , Wei Wang

We introduce a mathematical description of the impact of sociality in the spread of infectious diseases by integrating an epidemiological dynamics with a kinetic modeling of population-based contacts. The kinetic description leads to study…

Physics and Society · Physics 2021-04-02 G. Dimarco , B. Perthame , G. Toscani , M. Zanella
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