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Within a short period of time, COVID-19 grew into a world-wide pandemic. Transmission by pre-symptomatic and asymptomatic viral carriers rendered intervention and containment of the disease extremely challenging. Based on reported infection…

Populations and Evolution · Quantitative Biology 2021-02-24 Liang Tian , Xuefei Li , Fei Qi , Qian-Yuan Tang , Viola Tang , Jiang Liu , Zhiyuan Li , Xingye Cheng , Xuanxuan Li , Yingchen Shi , Haiguang Liu , Lei-Han Tang

This article considers the minimization of the total number of infected individuals over the course of an epidemic in which the rate of infectious contacts can be reduced by time-dependent nonpharmaceutical interventions. The societal and…

Optimization and Control · Mathematics 2023-03-16 Tom Britton , Lasse Leskelä

Metapopulation epidemic models help capture the spatial dimension of infectious disease spread by dividing heterogeneous populations into separate but interconnected communities, represented by nodes in a network. In the event of an…

Populations and Evolution · Quantitative Biology 2025-02-21 Henrik Zunker , Philipp Dönges , Patrick Lenz , Seba Contreras , Martin J. Kühn

As a common strategy of contagious disease containment, lockdowns will inevitably weaken the economy. The ongoing COVID-19 pandemic underscores the trade-off arising from public health and economic cost. An optimal lockdown policy to…

Optimization and Control · Mathematics 2022-01-26 Qianqian Ma , Yang-Yu Liu , Alex Olshevsky

In this paper, we propose a dynamical model to describe the transmission of COVID-19, which is spreading in China and many other countries. To avoid a larger outbreak in the worldwide, Chinese government carried out a series of strong…

Populations and Evolution · Quantitative Biology 2020-03-09 Jiwei Jia , Jian Ding , Siyu Liu , Guidong Liao , Jingzhi Li , Ben Duan , Guoqing Wang , Ran Zhang

The global pandemic of the 2019-nCov requires the evaluation of policy interventions to mitigate future social and economic costs of quarantine measures worldwide. We propose an epidemiological model for forecasting and policy evaluation…

Applications · Statistics 2020-10-30 Philip Nadler , Shuo Wang , Rossella Arcucci , Xian Yang , Yike Guo

Coronavirus disease (COVID-19) which is caused by SARS-COV2 has become a pandemic. This disease is highly infectious and potentially fatal, causing a global public health concern. To contain the spread of COVID-19, governments are adopting…

Physics and Society · Physics 2020-06-22 Sayantari Ghosh , Saumik Bhattacharya

Background: Recently developed techniques to study the spread of infectious diseases through networks make assumptions that the initial proportion infected is infinitesimal and the population behavior is static throughout the epidemic. The…

Populations and Evolution · Quantitative Biology 2012-08-17 Joel C. Miller

In this paper we develop a predictive model for the spread of COVID-19 infection at a provincial (i.e. EU NUTS-3) level in Italy by using official data from the Italian Ministry of Health integrated with data extracted from daily official…

The current global health emergency triggered by the pandemic COVID-19 is one of the greatest challenges mankind face in this generation. Computational simulations have played an important role to predict the development of the current…

Populations and Evolution · Quantitative Biology 2020-06-11 Kok Yew Ng , Meei Mei Gui

Epidemic risk assessment poses inherent challenges, with traditional approaches often failing to balance health outcomes and economic constraints. This paper presents a data-driven decision support tool that models epidemiological dynamics…

Applications · Statistics 2025-11-24 Chang Zhai , Ping Chen , Zhuo Jin , David Pitt

This paper presents the assessment of time-dependent national-level restrictions and control actions and their effects in fighting the COVID-19 pandemic. By analysing the transmission dynamics during the first wave of COVID-19 in the…

Populations and Evolution · Quantitative Biology 2021-02-04 Ton Duc Do , Meei Mei Gui , Kok Yew Ng

Compartmental models are widely adopted to describe and predict the spreading of infectious diseases. The unknown parameters of such models need to be estimated from the data. Furthermore, when some of the model variables are not…

Physics and Society · Physics 2021-01-18 Luca Gallo , Mattia Frasca , Vito Latora , Giovanni Russo

In the context of SARS-CoV-2 pandemic, mathematical modelling has played a fundamental role for making forecasts, simulating scenarios and evaluating the impact of preventive political, social and pharmaceutical measures. Optimal control…

Optimization and Control · Mathematics 2022-11-01 Giovanni Ziarelli , Luca Dede' , Nicola Parolini , Marco Verani , Alfio Quarteroni

Different countries -- and sometimes different regions within the same countries -- have adopted different strategies in trying to contain the ongoing COVID-19 epidemic; these mix in variable parts social confinement, early detection and…

Populations and Evolution · Quantitative Biology 2020-07-17 Giuseppe Gaeta

The recent COVID-19 pandemic has promoted vigorous scientific activity in an effort to understand, advice and control the pandemic. Data is now freely available at a staggering rate worldwide. Unfortunately, this unprecedented level of…

Applications · Statistics 2024-01-31 Yuansan Liu , Saransh Srivastava , Zuo Huang , Felisa J. Vázquez-Abad

We consider here an extended SIR model, including several features of the recent COVID-19 outbreak: in particular the infected and recovered individuals can either be detected (+) or undetected (-) and we also integrate an intensive care…

Populations and Evolution · Quantitative Biology 2020-05-25 Arthur Charpentier , Romuald Elie , Mathieu Laurière , Viet Chi Tran

Epidemic outbreaks pose significant challenges to public health and socio-economic stability, necessitating a comprehensive understanding of disease transmission dynamics and effective control strategies. This article discusses the…

Physics and Society · Physics 2023-10-20 Sourin Chatterjee , Ahad N. Zehmakan , Sujay Rastogi

A fractional-order compartmental model was recently used to describe real data of the first wave of the COVID-19 pandemic in Portugal [Chaos Solitons Fractals 144 (2021), Art. 110652]. Here, we modify that model in order to correct time…

Optimization and Control · Mathematics 2022-04-12 Silverio Rosa , Delfim F. M. Torres

Capturing the structure of a population and characterising contacts within the population are key to reliable projections of infectious disease. Two main elements of population structure -- contact heterogeneity and age -- have been…

Physics and Society · Physics 2025-03-17 Luke Murray Kearney , Emma L. Davis , Matt J. Keeling