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In this research, we develop a framework to analyze the interaction between the economy and the Covid-19 pandemic using an extension of SIR epidemic model. At the outset, we assume there are two health related investments including general…

Optimization and Control · Mathematics 2022-02-14 Zachariah Sinkala , Vajira Manathunga , Bichaka Fayissa

The adoption of containment measures to reduce the amplitude of the epidemic peak is a key aspect in tackling the rapid spread of an epidemic. Classical compartmental models must be modified and studied to correctly describe the effects of…

Populations and Evolution · Quantitative Biology 2021-05-18 G. Albi , L. Pareschi , M. Zanella

Metapopulation epidemic models describe epidemic dynamics in networks of spatially distant patches connected with pathways for migration of individuals. In the present study, we deal with a susceptible-infected-recovered (SIR)…

Physics and Society · Physics 2019-08-22 Akari Matsuki , Gouhei Tanaka

Non-pharmaceutical interventions(NPIs) play an important role in the early stage control of COVID-19 pandemic. Vaccination is considered to be the inevitable course to stop the spread of SARS-CoV-2. Based on the mechanism, a SVEIR COVID-19…

Populations and Evolution · Quantitative Biology 2021-07-08 Bin-Guo Wang , Shunxiang Huang , Yongping Xiong , Ming-Zhen Xin , Jing LI , Jiangqian Zhang , Zhihui Ma

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…

Testing is a crucial control mechanism for an epidemic outbreak because it enables the health authority to detect and isolate the infected cases, thereby limiting the disease transmission to susceptible people, when no effective treatment…

A fundamental principle of clinical medicine is that a treatment should only be administered to those patients who would benefit from it. Treatment strategies that assign treatment to patients as a function of their individual…

Applications · Statistics 2025-06-13 Nicholas Williams , Kara Rudolph , Iván Díaz

Several non-pharmaceutical interventions have been proposed to control the spread of the COVID-19 pandemic. On the large scale, these empirical solutions, often associated with extended and complete lockdowns, attempt to minimize the costs…

Physics and Society · Physics 2020-07-23 M. Serra , S. al-Mosleh , S. Ganga Prasath , V. Raju , S. Mantena , J. Chandra , S. Iams , L. Mahadevan

For the description of a pandemic mathematical models could be interesting. Both for physicians and politicians as a base for decisions to treat the disease. The responsible estimation of parameters is a main issue of mathematical pandemic…

Populations and Evolution · Quantitative Biology 2020-04-15 Günter Bärwolff

During the COVID-19 pandemic, the scientific community developed predictive models to evaluate potential governmental interventions. However, the analysis of the effects these interventions had is less advanced. Here, we propose a…

Populations and Evolution · Quantitative Biology 2020-07-09 Andres Babino , Marcelo O. Magnasco

It is of vital importance to understand and track the dynamics of rapidly unfolding epidemics. The health and economic consequences of the current COVID-19 pandemic provide a poignant case. Here we point out that since they are based on…

Populations and Evolution · Quantitative Biology 2020-04-28 Z. Fodor , S. D. Katz , T. G. Kovacs

We propose a multi-layer network model for the spread of COVID-19 that accounts for interactions within the family, between schoolmates, and casual contacts in the population. We utilize the proposed model-calibrated on epidemiological and…

Physics and Society · Physics 2021-03-24 Christian Bongiorno , Lorenzo Zino

This work develops a flexible inferential framework for nonparametric causal inference in time-to-event settings, based on stochastic interventions defined through multiplicative scaling of the intensity governing an intermediate event…

Methodology · Statistics 2026-02-04 Helene Charlotte Wiese Rytgaard , Mark van der Laan

In this paper, we propose a realistic mathematical model taking into account the mutual interference among the interacting populations. This model attempts to describe the control (vaccination) function as a function of the number of…

Neural and Evolutionary Computing · Computer Science 2016-11-18 V. Sree Hari Rao , M. Naresh Kumar

In this paper, we propose a new aperiodic formulation of model predictive control for nonlinear continuous-time systems. Unlike earlier approaches, we provide event-triggered conditions without using the optimal cost as a Lyapunov function…

Optimization and Control · Mathematics 2017-03-16 Kazumune Hashimoto , Shuichi Adachi , Dimos V. Dimarogonas

In response to the worldwide outbreak of the coronavirus disease COVID-19, a variety of nonpharmaceutical interventions such as face masks and social distancing have been implemented. A careful assessment of the effects of such containment…

Populations and Evolution · Quantitative Biology 2021-05-18 Michael te Vrugt , Jens Bickmann , Raphael Wittkowski

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

During an infectious disease outbreak, biases in the data and complexities of the underlying dynamics pose significant challenges in mathematically modelling the outbreak and designing policy. Motivated by the ongoing response to COVID-19,…

We create a network model to study the spread of an epidemic through physically proximate and accidental daily human contacts in a city, and simulate outcomes for two kinds of agents - poor and non-poor. Under non-intervention, peak…

Physics and Society · Physics 2021-01-27 Anand Sahasranaman , Henrik Jeldtoft Jensen

Following the emergence of a novel coronavirus (SARS-CoV-2) and its spread outside of China, Europe has experienced large epidemics. In response, many European countries have implemented unprecedented non-pharmaceutical interventions…

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