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A simplified SIS reaction-diffusion-advection model is proposed and investigated to understand the impact of spatial heterogeneity of environment and advection on the persistence and eradication of an infectious disease. The free boundary…

Analysis of PDEs · Mathematics 2015-05-26 Jing Ge , Kwang Ik Kim , Zhigui Lin , Huaiping Zhu

The pattern formation and spatial spread of infectious populations are investigated using a kernel-based Susceptible-Infectious-Recovered (SIR) model applicable across a wide range of basic reproduction numbers $R_o$. The focus is on the…

Physics and Society · Physics 2022-09-13 Shuolin Li , Craig Henriquez , Gabriel Katul

One clear aspect of behaviour in the COVID-19 pandemic has been people's focus on, and response to, reported or observed infection numbers in their community. We describe a simple model of infectious disease spread in a pandemic situation…

Populations and Evolution · Quantitative Biology 2022-02-24 Fintan Costello , Paul Watts , Rita Howe

Households represent a key unit of interest in infectious disease epidemiology, in both empirical studies and mathematical modelling. The within-household transmission potential of a disease is often summarised by a secondary attack ratio…

Applications · Statistics 2026-03-27 Joseph Brooks , Thomas House , Lorenzo Pellis , Joe Hilton

The spread of infectious diseases crucially depends on the pattern of contacts among individuals. Knowledge of these patterns is thus essential to inform models and computational efforts. Few empirical studies are however available that…

The rapid transmission of the highly contagious novel coronavirus has been represented through several data-guided approaches across targeted geographies, in an attempt to understand when the pandemic will be under control and imposed…

Populations and Evolution · Quantitative Biology 2020-05-05 Joydeep Munshi , Indranil Roy , Ganesh Balasubramanian

Since the outbreak of COVID-19, an astronomical number of publications on the pandemic dynamics appeared in the literature, of which many use the susceptible infected removed (SIR) and susceptible exposed infected removed (SEIR) models, or…

Machine Learning · Computer Science 2021-11-03 Hua-Liang Wei , S. A. Billings

This paper develops an agent-based disease spread model on a contact network in an effort to guide efforts at surveillance testing in small to moderate facilities such as nursing homes and meat-packing plants. The model employs Monte Carlo…

Populations and Evolution · Quantitative Biology 2021-10-04 Yanyue Ding , Sudesh K. Agrawal , Jincheng Cao , Lauren Meyers , John J. Hasenbein

The time-varying reproduction number ($R_t$) gives an indication of the trajectory of an infectious disease outbreak. Commonly used frameworks for inferring $R_t$ from epidemiological time series include those based on compartmental models…

At the end of April 20, 2020, there were only a few new COVID-19 cases remaining in China, whereas the rest of the world had shown increases in the number of new cases. It is of extreme importance to develop an efficient statistical model…

Methodology · Statistics 2021-03-01 Xiaoping Shi , Meiqian Chen , Yucheng Dong

Network models represent a useful tool to describe the complex set of financial relationships among heterogeneous firms in the system. In this paper, we propose a new semiparametric model for temporal multilayer causal networks with both…

Econometrics · Economics 2021-01-05 Billio Monica , Casarin Roberto , Costola Michele , Iacopini Matteo

This paper focuses on modeling and analysis of the temporal performance variations experienced by a mobile user in a wireless network and its impact on system level design. We consider a simple stochastic geometry model: the infrastructure…

Information Theory · Computer Science 2016-09-29 Pranav Madadi , François Baccelli , Gustavo de Veciana

Motivated by health care systems with repeated services that have both personnel (nurse and physician) and space (beds) constraints, we study a restricted version of the Erlang-R model. The space restriction policies we consider are…

Epidemic models play a key role in understanding and responding to the emerging COVID-19 pandemic. Widely used compartmental models are static and are of limited use to evaluate intervention strategies with the emerging pandemic. Applying…

Populations and Evolution · Quantitative Biology 2021-01-01 Shuo Wang , Xian Yang , Ling Li , Philip Nadler , Rossella Arcucci , Yuan Huang , Zhongzhao Teng , Yike Guo

COVID-19 pandemic has brought to the fore epidemiological models which, though describing a wealth of behaviors, have previously received little attention in signal processing literature. In this work, a generalized time-varying…

Methodology · Statistics 2025-08-13 Barbara Pascal , Samuel Vaiter

The COVID-19 pandemic has been characterised by multiple waves of transmission driven by interventions and emerging variants, challenging epidemic models that assume gradually evolving transmission dynamics. We propose a class of…

Applications · Statistics 2026-05-05 Patrick Aschermayr , Konstantinos Kalogeropoulos , Nikolaos Demiris

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

We study the dynamics of a spatially structured model of worldwide epidemics and formulate predictions for arrival times of the disease at any city in the network. The model is comprised of a system of ordinary differential equations…

Pattern Formation and Solitons · Physics 2018-02-14 Lawrence M. Chen , Matt Holzer , Anne Shapiro

I propose a smartphone app that will allow people to participate in the management of their own safety during an epidemic or pandemic such as COVID-19 by enabling them to view, in advance, the risks they would take if they visit some given…

Computers and Society · Computer Science 2020-06-22 Lucien Hardy

The COVID-19 pandemic has placed immense strain on hospital systems worldwide, leading to critical capacity challenges. This research proposes a two-part framework to optimize hospital capacity through patient relocation strategies. The…

Artificial Intelligence · Computer Science 2026-03-18 Sadaf Tabatabaee , Hicham El Baz , Mohammed Khalil Ghali , Nagendra N. Nagarur