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We propose an extension of the classical susceptible infectious recovered (SIR) model that incorporates the effects of spatial propagation of an epidemic through a small number of additional compartments. The model is designed to capture…

Numerical Analysis · Mathematics 2026-03-02 M. Soledad Aronna , Mariana Bergonzi , Ernesto Kofman

The metapopulation network model is effectively used to study the spatial spread of epidemics with individuals mobility. Considering the time-varying nature of individual activity and the preferences for attractive destinations in…

Physics and Society · Physics 2023-11-27 Lang Zeng , Ming Tang , Ying Liu , Seung Yeop Yang , Younghae Do

The dynamics of epidemics depend on how people's behavior changes during an outbreak. At the beginning of the epidemic, people do not know about the virus, then, after the outbreak of epidemics and alarm, they begin to comply with the…

Physics and Society · Physics 2021-11-29 I. A. Kastalskiy , E. V. Pankratova , E. M. Mirkes , V. B. Kazantsev , A. N. Gorban

Various theoretical models have been proposed to understand the basic nature of epidemics. Recent studies focus on the effects of mobility to epidemic process. However, uncorrelated random walk is typically assumed as the type of movement.…

Populations and Evolution · Quantitative Biology 2018-07-04 Genki Ichinose , Yoshiki Satotani , Hiroki Sayama , Takashi Nagatani

Non-pharmaceutical interventions (NPIs), including mask-wearing, physical distancing, and hygiene measures, provide the primary means of reducing transmission in the early stages of an epidemic. Individuals adopt one of two…

Populations and Evolution · Quantitative Biology 2026-05-22 Yuan Liu , Michael Sieber , Bin Wu , Arne Traulsen

In response to the COVID-19 pandemic and the potential threat of future epidemics caused by novel viruses, we developed a flexible framework for modeling disease intervention effects. This tool is intended to aid decision makers at multiple…

Multiagent Systems · Computer Science 2023-08-22 Karleigh Pine , Razvan Veliche , Jared Bennett , Joel Klipfel

Various non pharmaceutical interventions have been settled to minimise the burden of the COVID-19 outbreak. We build a framework to analyse the dynamics of non pharmaceutical interventions, to distinguish between mitigations measures…

Populations and Evolution · Quantitative Biology 2023-01-23 Laurent Evain , Jean-Jacques Loeb

Since the end of 2019, COVID-19 has significantly affected the lives of people around the world. Towards the end of 2020, several COVID-19 vaccine candidates with relatively high efficacy have been reported in the final phase of clinical…

Physics and Society · Physics 2021-01-20 W. K. Wong , Filbert H. Juwono , Tock H. Chua

In this paper, we propose a new real-time differential virus transmission model, which can give more accurate and robust short-term predictions of COVID-19 transmitted infectious disease with benefits of near-term trend projection.…

Populations and Evolution · Quantitative Biology 2020-05-05 Sheldon X. D. Tan , Liang Chen

Restarting public buildings activities in the "second phase" of COVID-19 emergency should be supported by operational measures to avoid a second virus spreading. Buildings hosting the continuous presence of the same users and significant…

Physics and Society · Physics 2021-07-16 Marco D'Orazio , Gabriele Bernardini , Enrico Quagliarini

To date, the only effective means to respond to the spreading of COVID-19 pandemic are non-pharmaceutical interventions (NPIs), which entail policies to reduce social activity and mobility restrictions. Quantifying their effect is…

Physics and Society · Physics 2021-03-01 Francesco Parino , Lorenzo Zino , Maurizio Porfiri , Alessandro Rizzo

The growing literature on the propagation of COVID-19 relies on various dynamic SIR-type models (Susceptible-Infected-Recovered) which yield model-dependent results. For transparency and ease of comparing the results, we introduce a common…

Populations and Evolution · Quantitative Biology 2020-06-19 Christian Gourieroux , Joann Jasiak

Spatiotemporal modelling of infectious diseases such as COVID-19 involves using a variety of epidemiological metrics such as regional proportion of cases or regional positivity rates. Although observing their changes over time is critical…

We examine the age-structured SIR model, a variant of the classical Susceptible-Infected-Recovered (SIR) model of epidemic propagation, in the context of COVID-19. In doing so, we provide a theoretical basis for the model, perform an…

Optimization and Control · Mathematics 2022-03-11 Rohit Parasnis , Ryosuke Kato , Amol Sakhale , Massimo Franceschetti , Behrouz Touri

We propose a simple SIR model in order to investigate the impact of various confinement strategies on a most virulent epidemic. Our approach is motivated by the current COVID-19 pandemic. The main hypothesis is the existence of two…

Populations and Evolution · Quantitative Biology 2020-12-30 G. Nakamura , B. Grammaticos , M. Badoual

The role of epidemiological models is crucial for informing public health officials during a public health emergency, such as the COVID-19 pandemic. However, traditional epidemiological models fail to capture the time-varying effects of…

Methodology · Statistics 2022-06-17 Adam Spannaus , Theodore Papamarkou , Samantha Erwin , J. Blair Christian

In this manuscript, we develop a mobility-based Susceptible-Infectious-Recovered (SIR) model to elucidate the dynamics of pandemic propagation. While traditional SIR models within the field of epidemiology aptly characterize transitions…

Dynamical Systems · Mathematics 2025-01-16 Ciana Applegate , Jiaxu Li , Dan Han

We consider the $SEIRS$ epidemiology model with such features of the COVID-19 outbreak as: abundance of unidentified infected individuals, limited time of immunity and a possibility of vaccination. Within a compartmental realization of this…

Populations and Evolution · Quantitative Biology 2021-12-07 Jaroslav Ilnytskyi , Taras Patsahan

Now that SARS-CoV-2 (COVID-19) vaccines are developed, it is very important to plan its distribution strategy. In this paper, we formulated a multi-objective linear programming model to optimize vaccine distribution and applied it to the…

Populations and Evolution · Quantitative Biology 2021-01-28 Jose Marie Antonio Minoza , Vena Pearl Bongolan , Joshua Frankie Rayo

COVID-19 pandemic has become a major threat to the country. Till date, well tested medication or antidote is not available to cure this disease. According to WHO reports, COVID-19 is a severe acute respiratory syndrome which is transmitted…

Populations and Evolution · Quantitative Biology 2020-04-03 Gaurav Pandey , Poonam Chaudhary , Rajan Gupta , Saibal Pal