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We analyze an optimal control version of a simple SIRS epidemiology model. The policy maker can adopt policies to diminish the contact rate between infected and susceptible individuals, at a specific economic cost. The arrival of a vaccine…

Populations and Evolution · Quantitative Biology 2020-06-09 Evangelos Magirou

Optimal intervention design is formulated as a hybrid optimal control problem for multiphase homogeneous epidemiological systems. The system extends a foundational compartmental model through intermediate phases that incorporate…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Tyler Halterman , Ali Pakniyat

Analysis of policies for managing epidemics require simultaneously an economic and epidemiological perspective. We adopt a cost-of-policy framework to model both the virus spread and the cost of handling the pandemic. Because it is harder…

General Economics · Economics 2021-02-10 Jacob Janssen , Yaneer Bar-Yam

Optimal control theory in epidemiology has been used to establish the most effective intervention strategies for managing and mitigating the spread of infectious diseases while considering constraints and costs. Using Pontryagin's Maximum…

Physics and Society · Physics 2025-08-08 Sandra Montes-Olivas , Adam J. Kucharski , Michael B. Gravenor , Simon D. W. Frost

Globally, the outbreaks of infectious diseases have exerted an extremely profound and severe influence on health security and the economy. During the critical phases of epidemics, devising effective intervention measures poses a significant…

Machine Learning · Computer Science 2025-05-08 Baida Zhang , Yakai Chen , Huichun Li , Zhenghu Zu

Epidemic control is of great importance for human society. Adjusting interacting partners is an effective individualized control strategy. Intuitively, it is done either by shortening the interaction time between susceptible and infected…

Populations and Evolution · Quantitative Biology 2016-12-28 Bin Wu , Shanjun Mao , Jiazeng Wang , Da Zhou

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

In this research paper we modify a classical SIR model to better adapt to the dynamics of COVID-19, that is we propose the heterogeneous SQAIRD model where COVID-19 spreads over a population of economic agents, namely: the elderly, adults…

Optimization and Control · Mathematics 2021-05-19 Elena Gubar , Laura Policardo , Edgar J. Sanchez Carrera , Vladislav Taynitskiy

In the context of epidemiology, policies for disease control are often devised through a mixture of intuition and brute-force, whereby the set of logically conceivable policies is narrowed down to a small family described by a few…

Populations and Evolution · Quantitative Biology 2021-10-04 Miguel Navascues , Costantino Budroni , Yelena Guryanova

Game theory has been an effective tool in the control of disease spread and in suggesting optimal policies at both individual and area levels. In this paper, we propose a multi-region SEIR model based on stochastic differential game theory,…

Optimization and Control · Mathematics 2021-03-10 Yao Xuan , Robert Balkin , Jiequn Han , Ruimeng Hu , Hector D. Ceniceros

We present an empirical algorithm to forecast the evolution of the number of COVID-19 symptomatic patients in the early stages of the pandemic spread and after strict social distancing interventions. The algorithm is based on a low…

Populations and Evolution · Quantitative Biology 2020-11-20 Luis Alvarez

Justifying draconian measures during the Covid-19 pandemic was difficult not only because of the restriction of individual rights, but also because of its economic impact. The objective of this work is to present a machine learning approach…

Machine Learning · Computer Science 2020-11-30 Santiago Cortes , Yullys M. Quintero

This study aims at modeling the universal failure in preventing the outbreak of COVID-19 via real-world data from the perspective of complexity and network science. Through formalizing information heterogeneity and government intervention…

Physics and Society · Physics 2023-10-26 Xiaoqi Zhang , Jie Fu , Sheng Hua , Han Liang , Zi-Ke Zhang

As a reaction to the high infectiousness and lethality of the COVID-19 virus, countries around the world have adopted drastic policy measures to contain the pandemic. However, it remains unclear which effect these measures, so-called…

Computers and Society · Computer Science 2021-08-11 Lucas Baier , Niklas Kühl , Jakob Schöffer , Gerhard Satzger

Testing is a crucial control mechanism in the beginning phase of an epidemic when the vaccines are not yet available. It enables the public health authority to detect and isolate the infected cases from the population, thereby limiting the…

Non-pharmacological interventions (NPIs), and in particular social distancing, in conjunction with the advent of effective vaccines at the end of 2020, aspired for the development of a protective immunity shield against the spread of…

I develop a novel macroeconomic epidemiological agent-based model to study the impact of the COVID-19 pandemic under varying policy scenarios. Agents differ with regard to their profession, family status and age and interact with other…

Theoretical Economics · Economics 2020-11-13 Patrick Mellacher

Frequent emergence of communicable diseases has been a major concern worldwide. Lack of sufficient resources to mitigate the disease-burden makes the situation even more challenging for lower-income countries. Hence, strategy development…

Populations and Evolution · Quantitative Biology 2023-02-03 Biplab Maity , Swarnendu Banerjee , Abhishek Senapati , Joydev Chattopadhyay

Pandemics, notably the recent COVID-19 outbreak, have impacted both public health and the global economy. A profound understanding of disease progression and efficient response strategies is thus needed to prepare for potential future…

Multiagent Systems · Computer Science 2024-02-07 Gauri Gupta , Ritvik Kapila , Ayush Chopra , Ramesh Raskar

Social distancing as one of the main non-pharmaceutical interventions can help slow down the spread of diseases, like in the COVID-19 pandemic. Effective social distancing, unless enforced as drastic lockdowns and mandatory cordon…

Physics and Society · Physics 2020-11-30 Alina Glaubitz , Feng Fu
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