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Related papers: Optimal Bayesian Persuasion for Containing SIS Epi…

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We study a dynamic model of Bayesian persuasion in sequential decision-making settings. An informed principal observes an external parameter of the world and advises an uninformed agent about actions to take over time. The agent takes…

Computer Science and Game Theory · Computer Science 2022-05-25 Jiarui Gan , Rupak Majumdar , Goran Radanovic , Adish Singla

In Bayesian persuasion, an informed sender, who observes a state, commits to a randomized signaling scheme that guides a self-interested receiver's actions. Classical models assume the receiver knows the commitment. We, instead, study the…

Computer Science and Game Theory · Computer Science 2025-10-03 Caleb Probine , Mustafa O. Karabag , Ufuk Topcu

The role of cooperative effects (i.e. synergy) in transmission of infection is investigated analytically and numerically for epidemics following the rules of Susceptible-Infected-Susceptible (SIS) model defined on random regular graphs.…

Physics and Society · Physics 2019-04-03 Sergei N. Taraskin , Francisco J. Pérez-Reche

Many epidemic models are naturally defined as individual-based models: where we track the state of each individual within a susceptible population. Inference for individual-based models is challenging due to the high-dimensional state-space…

Methodology · Statistics 2025-08-04 Lorenzo Rimella , Christopher Jewell , Paul Fearnhead

Defining an optimal protection strategy against viruses, spam propagation or any other kind of contamination process is an important feature for designing new networks and architectures. In this work, we consider decentralized optimal…

Systems and Control · Computer Science 2017-10-03 Stojan Trajanovski , Yezekael Hayel , Eitan Altman , Huijuan Wang , Piet Van Mieghem

Containment of epidemic outbreaks entails great societal and economic costs. Cost-effective containment strategies rely on efficiently identifying infected individuals, making the best possible use of the available testing resources.…

Populations and Evolution · Quantitative Biology 2020-12-01 Laura Natali , Saga Helgadottir , Onofrio M. Marago , Giovanni Volpe

We develop a feedback control method for networked epidemic spreading processes. In contrast to most prior works which consider mean field, open-loop control schemes, the present work develops a novel framework for feedback control of…

Optimization and Control · Mathematics 2017-03-23 Nicholas J. Watkins , Cameron Nowzari , George J. Pappas

We develop an analytical approach to the susceptible-infected-susceptible (SIS) epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance…

Physics and Society · Physics 2013-09-13 Marian Boguna , Claudio Castellano , Romualdo Pastor-Satorras

Our study is based on an epidemiological compartmental model, the SIRS model. In the SIRS model, each individual is in one of the states susceptible (S), infected(I) or recovered (R), depending on its state of health. In compartment R, an…

Populations and Evolution · Quantitative Biology 2023-05-10 Michael Bestehorn , Thomas M. Michelitsch

Individual-based models of contagious processes are useful for predicting epidemic trajectories and informing intervention strategies. In such models, the incorporation of contact network information can capture the non-randomness and…

Populations and Evolution · Quantitative Biology 2023-11-09 Maxwell H. Wang , Jukka-Pekka Onnela

We consider the problem of the optimal allocation of vaccination and protection measures for the Susceptible-Infected-Recovered-Infected (SIRI) epidemiological model, which generalizes the classical Susceptible-Infected-Recovered (SIR) and…

Optimization and Control · Mathematics 2025-05-09 Urmee Maitra , Ashish R. Hota , Rohit Gupta , Alfred O. Hero

In this paper, we study an analytically tractable SIS model with a non-linear incidence rate for the number of infectious individuals described through a stochastic differential equation (SDE). We guarantee the existence of a positive…

Probability · Mathematics 2024-04-23 J. S. Builes , Cristian F. Coletti , Leon A. Valencia

We present a novel approach to the study of epidemics on networks as thermodynamic phenomena, considering the thermodynamic efficiency of contagions, considered as distributed computational processes. Modelling SIS dynamics on a contact…

Populations and Evolution · Quantitative Biology 2018-10-24 Nathan Harding , Ramil Nigmatullin , Mikhail Prokopenko

We study the problem of information provision by a strategic central planner who can publicly signal about an uncertain infectious risk parameter. Signalling leads to an updated public belief over the parameter, and agents then make…

Multiagent Systems · Computer Science 2022-05-06 Sohil Shah , Saurabh Amin , Patrick Jaillet

In this paper, we formulate cyber risk management and mitigation as a stochastic optimal control problem under a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model. To capture the dynamics and interplay of management and…

Optimization and Control · Mathematics 2026-01-29 Shize Na , Zhuo Jin , Ran Xu , Hailiang Yang

Binary-state dynamics (such as the susceptible-infected-susceptible (SIS) model of disease spread, or Glauber spin dynamics) on random networks are accurately approximated using master equations. Standard mean-field and pairwise theories…

Physics and Society · Physics 2015-03-19 James P. Gleeson

In this paper, we give a complete analysis of an SIS epidemiological model in a population of varying size with two dissimilar groups of infective individuals. It is mainly based on the discussion of the existence and stability of…

Classical Analysis and ODEs · Mathematics 2007-05-23 M. R. Razvan

We present an epidemiological compartment model, SAIR(S), that explicitly captures the dynamics of asymptomatic infected individuals in an epidemic spread process. We first present a group model and then discuss networked versions. We…

Populations and Evolution · Quantitative Biology 2021-03-23 Xiaoqi Bi , Carolyn L. Beck

The focus of this article is on the dynamics of a new susceptible-infected model which consists of a susceptible group ($S$) and two different infectious groups ($I_1$ and $I_2$). Once infected, an individual becomes a member of one of…

Populations and Evolution · Quantitative Biology 2020-06-01 Ayse Peker-Dobie , Semra Ahmetolan , Ayse Humeyra Bilge , Ali Demirci

In this paper, we are concerned with two SIS epidemic reaction-diffusion models with mass action infection mechanism of the form $SI$, and study the spatial profile of population distribution as the movement rate of the infected individuals…

Analysis of PDEs · Mathematics 2023-01-04 Rui Peng , Zhi-an Wang , Guanghui Zhang , Maolin Zhou
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