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This paper presents a discrete time probabilistic dynamic for simulating a contact-based epidemic spreading based on discrete time Markov chain process, in particular the attention is addressed to the susceptible-infectious-removed (SIR)…

Physics and Society · Physics 2017-12-22 Fabrizio Angaroni

Contagious processes, such as spread of infectious diseases, social behaviors, or computer viruses, affect biological, social, and technological systems. Epidemic models for large populations and finite populations on networks have been…

Optimization and Control · Mathematics 2020-04-14 Renato Pagliara , Naomi E. Leonard

We investigate the sensitivity of epidemic behavior to a bounded susceptibility constraint -- susceptible nodes are infected by their neighbors via the regular SI/SIS dynamics, but subject to a cap on the infection rate. Such a constraint…

Social and Information Networks · Computer Science 2015-02-19 Subhashini Krishnasamy , Siddhartha Banerjee , Sanjay Shakkottai

We study the susceptible-infected-susceptible (SIS) model on directed complex networks within the quenched mean-field approximation. Combining results from random matrix theory with an analytic approach to the distribution of fixed-point…

Physics and Society · Physics 2025-12-12 Vinícius B. Müller , Fernando L. Metz

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

We consider the problem of controlling an SIR-model epidemic by temporarily reducing the rate of contact within a population. The control takes the form of a multiplicative reduction in the contact rate of infectious individuals. The…

Optimization and Control · Mathematics 2021-06-29 David I. Ketcheson

Self-adaptive dynamics occurs in many physical systems such as socio-economics, neuroscience, or biophysics. We formalize a self-adaptive modeling approach, where adaptation takes place within a set of strategies based on the history of the…

Adaptation and Self-Organizing Systems · Physics 2022-04-01 Konstantin Clauß , Christian Kuehn

This paper introduces a new optimal control model to describe and control the dynamics of infectious diseases. In the present model, the average time of isolation (i.e. hospitalization) of infectious population is the main time-dependent…

Optimization and Control · Mathematics 2015-05-06 Robin J. Evans , Musa Mammadov

Infectious disease modeling is used to forecast epidemics and assess the effectiveness of intervention strategies. Although the core assumption of mass-action models of homogeneously mixed population is often implausible, they are…

Physics and Society · Physics 2024-08-29 Thien-Minh Le , Jukka-Pekka Onnela

Analytical description of propagation phenomena on random networks has flourished in recent years, yet more complex systems have mainly been studied through numerical means. In this paper, a mean-field description is used to coherently…

Statistical Mechanics · Physics 2010-10-08 Laurent Hébert-Dufresne , Pierre-André Noël , Vincent Marceau , Antoine Allard , Louis J. Dubé

Analytical studies of network epidemiology almost exclusively focus on the extreme situations where the time scales of network dynamics are well separated (longer or shorter) from that of epidemic propagation. In realistic scenarios,…

Physics and Society · Physics 2024-05-16 Chao-Ran Cai , Yuan-Yuan Nie , Petter Holme

Motivated by the ongoing pandemic COVID-19, we propose a closed-loop framework that combines inference from testing data, learning the parameters of the dynamics and optimal resource allocation for controlling the spread of the…

Physics and Society · Physics 2021-04-27 Ashish R. Hota , Jaydeep Godbole , Philip E Paré

We investigate what structural aspects of a collection of twelve empirical temporal networks of human contacts are important to disease spreading. We scan the entire parameter spaces of the two canonical models of infectious disease…

Populations and Evolution · Quantitative Biology 2014-05-27 Petter Holme , Fredrik Liljeros

The spreading of epidemics is very much determined by the structure of the contact network, which may be impacted by the mobility dynamics of the individuals themselves. In confined scenarios where a small, closed population spends most of…

Physics and Society · Physics 2018-05-09 Clara Granell , Peter J. Mucha

We introduce a fast simulation technique for modeling epidemics on adaptive networks. Our rejection-based algorithm efficiently simulates the co-evolution of the network structure and the epidemic dynamics. We extend the classical SIS model…

Social and Information Networks · Computer Science 2024-10-08 Gerrit Großmann , Sebastian Vollmer

In this paper, we propose a model predictive control (MPC) method for real-time intervention of spreading processes, such as epidemics and wildfire, over large-scale networks. The goal is to allocate budgeted resources each time step to…

Optimization and Control · Mathematics 2022-10-31 Ruigang Wang , Armaghan Zafar , Ian R. Manchester

The duration, type and structure of connections between individuals in real-world populations play a crucial role in how diseases invade and spread. Here, we incorporate the aforementioned heterogeneities into a model by considering a…

Physics and Society · Physics 2018-04-05 Rosanna C Barnard , Istvan Z Kiss , Luc Berthouze , Joel C Miller

This paper is concerned with the robustness of the sustained oscillations predicted by an epidemic ODE model defined on contact networks. The model incorporates the spread of awareness among individuals and, moreover, a small inflow of…

Populations and Evolution · Quantitative Biology 2020-11-11 David Juher , David Rojas , Joan Saldaña

We present a contact-based model to study the spreading of epidemics by means of extending the dynamic message passing approach to temporal networks. The shift in perspective from node- to edge-centric quantities enables accurate modelling…

Physics and Society · Physics 2019-08-07 Andreas Koher , Hartmut H. K. Lentz , James P. Gleeson , Philipp Hövel

In the real world, many complex systems interact with other systems. In addition, the intra- or inter-systems for the spread of information about infectious diseases and the transmission of infectious diseases are often not random, but with…

Physics and Society · Physics 2017-08-23 Junbo Jia , Zhen Jin , Xinchu Fu