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To forecast the time dynamics of an epidemic, we propose a discrete stochastic model that unifies and generalizes previous approaches to the subject. Viewing a given population of individuals or groups of individuals with given health state…

Objective. The COVID-19 pandemic has threatened to collapse hospital and ICU services, and it has affected the care programs for non-COVID patients. The objective was to develop a mathematical model designed to optimize predictions related…

Understanding the spatio-temporal patterns of the coronavirus disease 2019 (COVID-19) is essential to construct public health interventions. Spatially referenced data can provide richer opportunities to understand the mechanism of the…

Methodology · Statistics 2022-07-15 Jaewoo Park , Seorim Yi , Won Chang , Jorge Mateu

In this paper we study a discrete-time SIS (susceptible-infected-susceptible) model, where the infection and healing parameters and the underlying network may change over time. We provide conditions for the model to be well-defined and…

Systems and Control · Electrical Eng. & Systems 2020-10-23 Philip E Pare , Sebin Gracy , Henrik Sandberg , Karl Henrik Johansson

The coronavirus pandemic has rapidly evolved into an unprecedented crisis. The susceptible-infectious-removed (SIR) model and its variants have been used for modeling the pandemic. However, time-independent parameters in the classical…

Populations and Evolution · Quantitative Biology 2020-09-09 Hyokyoung G. Hong , Yi Li

Although modeling studies are focused on the control of SIR-based systems describing epidemic data sets (particularly the COVID-19), few of them present a formal dynamic characterization in terms of equilibrium sets and stability. Such…

Optimization and Control · Mathematics 2021-06-03 A. H. González , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas

Lately, concepts such as lockdown, quarantine, and social distancing have become very relevant since they have been associated with essential measures in the prevention and mitigation of COVID-19. While some conclusions about the…

Physics and Society · Physics 2023-04-04 Eric Rozan , Sebastian Bouzat , Marcelo N Kuperman

The infectious diseases are spreading due to human interactions enabled by various social networks. Therefore, when a new pathogen such as SARS-CoV-2 causes an outbreak, the non-pharmaceutical isolation strategies (e.g., social distancing)…

Populations and Evolution · Quantitative Biology 2020-04-20 Alexandru Topirceanu , Mihai Udrescu , Radu Marculescu

Infectious epidemics can be simulated by employing dynamical processes as interactions on network structures. Here, we introduce techniques from the Multi-Agent System (MAS) domain in order to account for individual level characterization…

Physics and Society · Physics 2021-10-05 Simone Azeglio , Matteo Fordiani

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

Governments around the world have implemented preventive measures against the spread of the coronavirus disease (COVID-19). In this study, we consider a multivariate discrete-time Markov model to analyze the propagation of COVID-19 across…

Populations and Evolution · Quantitative Biology 2020-08-18 Tatsushi Oka , Wei Wei , Dan Zhu

Diagnostic testing followed by isolation of identified cases with subsequent tracing and quarantine of close contacts - often referred to as test-trace-isolate-and-quarantine (TTIQ) strategy - is one of the cornerstone measures of…

Populations and Evolution · Quantitative Biology 2024-03-14 Julian Heidecke , Jan Fuhrmann , Maria Vittoria Barbarossa

The coronavirus disease 2019 (COVID-19) pandemic is changing and impacting lives on a global scale. In this paper, we introduce a mean-field game model in controlling the propagation of epidemics on a spatial domain. The control variable,…

Optimization and Control · Mathematics 2020-11-12 Wonjun Lee , Siting Liu , Hamidou Tembine , Wuchen Li , Stanley Osher

We present three data driven model-types for COVID-19 with a minimal number of parameters to provide insights into the spread of the disease that may be used for developing policy responses. The first is exponential growth, widely studied…

Populations and Evolution · Quantitative Biology 2022-05-25 Andrea L. Bertozzi , Elisa Franco , George Mohler , Martin B. Short , Daniel Sledge

The unprecedented coronavirus disease 2019 (COVID-19) pandemic is still a worldwide threat to human life since its invasion into the daily lives of the public in the first several months of 2020. Predicting the size of confirmed cases is…

Applications · Statistics 2020-12-02 Xinyu Wang , Lu Yang , Hong Zhang , Zhouwang Yang , Catherine Liu

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

During the COVID-19 pandemic, community containment measures have been implemented in different parts of the world. However, despite government recommendations and mandates, a progressive increase in mobility was observed in several sites.…

Physics and Society · Physics 2021-03-29 Ariel Félix Gualtieri , Pedro Hecht

Effective epidemic modeling and surveillance require computationally efficient methods that can continuously update estimates as new data becomes available. This paper explores the application of an online variant of Sequential Monte Carlo…

Populations and Evolution · Quantitative Biology 2025-09-09 Dhorasso Temfack , Jason Wyse

Background: The global spread of the severe acute respiratory syndrome (SARS) epidemic has clearly shown the importance of considering the long-range transportation networks in the understanding of emerging diseases outbreaks. The…

Other Quantitative Biology · Quantitative Biology 2008-01-16 Vittoria Colizza , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

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
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