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The paradigm for compartment models in epidemiology assumes exponentially distributed incubation and removal times, which is not realistic in actual populations. Commonly used variations with multiple exponentially distributed variables are…

Populations and Evolution · Quantitative Biology 2021-02-10 P. Hernández , C. Pena , A. Ramos , J. J. Gómez-Cadenas

A human respiratory syncytial virus surveillance system was implemented in Florida in 1999, to support clinical decision-making for prophylaxis of premature newborns. Recently, a local periodic SEIRS mathematical model was proposed in…

Optimization and Control · Mathematics 2018-10-25 Silverio Rosa , Delfim F. M. Torres

In the absence of drugs and vaccines, policymakers use non-pharmaceutical interventions such as social distancing to decrease rates of disease-causing contact, with the aim of reducing or delaying the epidemic peak. These measures carry…

Populations and Evolution · Quantitative Biology 2021-04-22 Dylan H. Morris , Fernando W. Rossine , Joshua B. Plotkin , Simon A. Levin

The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical interventions. In particular, the most effective measures in this direction have been the stay-at-home and closure strategies of businesses and schools.…

Physics and Society · Physics 2022-05-04 G. Dimarco , G. Toscani , M. Zanella

We study the optimal control problem of allocating campaigning resources over the campaign duration and degree classes in a social network. Information diffusion is modeled as a Susceptible-Infected epidemic and direct recruitment of…

Social and Information Networks · Computer Science 2016-10-27 Kundan Kandhway , Joy Kuri

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

In the Staged Progression (SP) epidemic models, infected individuals are classified into a suitable number of states. The goal of these models is to describe as closely as possible the effect of differences in infectiousness exhibited by…

Dynamical Systems · Mathematics 2024-02-08 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

This paper studies viability and control synthesis for a delayed SIR epidemic. The model integrates a constant delay representing an incubation/latency time. The control inputs model non-pharmaceutical interventions, while an intensive care…

Optimization and Control · Mathematics 2024-12-09 Dimitri Breda , Matteo Della Rossa , Lorenzo Freddi

We introduce model-based transition rates for controlled compartmental models in mathematical epidemiology, with a focus on the effects of control strategies applied to interacting multi-agent systems describing contact formation dynamics.…

Optimization and Control · Mathematics 2025-07-18 Mattia Zanella , Andrea Medaglia

Selective control in a population is the ability to control a member of the population while leaving the other members relatively unaffected. The concept of selective control is developed using cell death or apoptosis in heterogeneous cell…

Quantitative Methods · Quantitative Biology 2014-07-29 Diego Calzolari , Giovanni Paternostro , Patrick L. Harrington , Carlo Piermarocchi , Phillip M. Duxbury

We introduce a policy model coupled with the susceptible-infected-recovered (SIR) epidemic model to study interactions between policy-making and the dynamics of epidemics. We consider both single-region policies, as well as game-theoretic…

Optimization and Control · Mathematics 2024-08-06 Xia Li , Andrea L. Bertozzi , P. Jeffrey Brantingham , Yevgeniy Vorobeychik

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,…

Populations and Evolution · Quantitative Biology 2019-07-24 Fatemeh Zarei , Saman Moghimi-Araghi , Fakhteh Ghanbarnejad

A pandemic is the spread of a disease across large regions, and can have devastating costs to the society in terms of health, economic and social. As such, the study of effective pandemic mitigation strategies can yield significant positive…

Artificial Intelligence · Computer Science 2024-10-02 Ari Gestetner , Buser Say

We consider the class of SIS epidemic models in which a large population of individuals chooses whether to adopt protection or to remain unprotected as the epidemic evolves. For a susceptible individual, adopting protection reduces the…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Abhisek Satapathi , Narendra Kumar Dhar , Ashish R. Hota , Vaibhav Srivastava

In wireless sensor networks (WSNs), main task of each sensor node is to sense the physical activity (i.e., targets or disaster conditions) and then to report it to the control center for further process. For this, sensor nodes are attached…

Networking and Internet Architecture · Computer Science 2018-01-16 Rajeev K. Shakya

The main aim of the work is to present a general class of two time scales discrete-time epidemic models. In the proposed framework the disease dynamics is considered to act on a slower time scale than a second different process that could…

Dynamical Systems · Mathematics 2024-02-07 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

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

The study of spreading processes often analyzes networks at different resolutions, e.g., at the level of individuals or countries, but it is not always clear how properties at one resolution can carry over to another. Accordingly, in this…

Physics and Society · Physics 2024-12-04 Baike She , Matthew Hale

We develop a framework for the distributed minimization of submodular functions. Submodular functions are a discrete analog of convex functions and are extensively used in large-scale combinatorial optimization problems. While there has…

Optimization and Control · Mathematics 2018-01-23 Hassan Jaleel , Jeff Shamma

We propose a novel SIR epidemic model which is driven by the transmission of infection packets in networks. Specifically, infected nodes generate and deliver infection packets causing the spread of the epidemic, while recovered nodes block…

Physics and Society · Physics 2016-01-20 Cunlai Pu , Siyuan Li , Jian Yang
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