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This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

Physics and Society · Physics 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

Pathogen genome data offers valuable structure for spatial models, but its utility is limited by incomplete sequencing coverage. We propose a probabilistic framework for inferring genetic distances between unsequenced cases and known…

Genomics · Quantitative Biology 2025-09-10 Haley Stone , Jing Du , Hao Xue , Matthew Scotch , David Heslop , Andreas Züfle , Chandini Raina MacIntyre , Flora Salim

The developing field of enhanced diagnostic techniques in the diagnosis of infectious diseases, constitutes a crucial domain in modern healthcare. By utilizing Gas Chromatography-Ion Mobility Spectrometry (GC-IMS) data and incorporating…

Infectious diseases are a significant threat to human society which was over sighted before the incidence of COVID-19, although according to the report of the World Health Organisation (WHO) about 4.2 million people die annually due to…

Physics and Society · Physics 2021-02-05 Md Shahzamal , Saeed Khan

In the simple mean-field SIS and SIR epidemic models, infection is transmitted from infectious to susceptible members of a finite population by independent $p-$coin tosses. Spatial variants of these models are proposed, in which finite…

Probability · Mathematics 2009-09-29 Steven P. Lalley

Increasing rates of global trade and travel, as well as changing climatic patterns, have led to more frequent outbreaks of plant disease epidemics worldwide. Mathematical modelling is a key tool in predicting where and how these new threats…

Populations and Evolution · Quantitative Biology 2019-11-28 Frédéric Fabre , Jérôme Coville , Nik J. Cunniffe

We develop a multiple compartment Susceptible-Infected-Recovered (SIR) model to analyze the spread of several infectious diseases through different geographic areas. Additionally, we propose a data-quality sensitive optimization framework…

Populations and Evolution · Quantitative Biology 2019-06-21 Inbar Seroussi , Nir Levy , Daniela Paolotti , Nir Sochen , Elad Yom-Tov

Epidemic spreading of infectious diseases is ubiquitous and has often considerable impact on public health and economic wealth. The large variability in spatio-temporal patterns of epidemics prohibits simple interventions and demands for a…

Populations and Evolution · Quantitative Biology 2010-11-25 Christel Kamp

Controlling infectious diseases is a major health priority because they can spread and infect humans, thus evolving into epidemics or pandemics. Therefore, early detection of infectious diseases is a significant need, and many researchers…

Machine Learning · Computer Science 2022-06-16 Eman Yahia Alqaissi , Fahd Saleh Alotaibi , Muhammad Sher Ramzan

Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements. In this work, we extend a recent model by Vaziry, Kolokolnikov, and Kevrekidis [Royal…

Populations and Evolution · Quantitative Biology 2024-10-01 Maryam Ahmadpoortorkamani , Alexei Cheviakov

The global spread of pandemics is facilitated by the mobility of populations, transforming localized infections into widespread phenomena. To contain it, timely identification of influential regions that accelerate this process is…

Signal Processing · Electrical Eng. & Systems 2025-09-15 Sudeepini Darapu , Subrata Ghosh , Dibakar Ghosh , Chittaranjan Hens , Santosh Nannuru

Viral kinetics have been extensively studied in the past through the use of spatially homogeneous ordinary differential equations describing the time evolution of the diseased state. However, spatial characteristics such as localized…

Cell Behavior · Quantitative Biology 2007-05-23 Catherine Beauchemin , John Samuel , Jack Tuszynski

In recent years, spatial and spatio-temporal modeling have become an important area of research in many fields (epidemiology, environmental studies, disease mapping). In this work we propose different spatial models to study hospital…

Applications · Statistics 2010-06-21 Erik A. Sauleau , Valentina Mameli , Monica Musio

We develop a mathematical framework to study the economic impact of infectious diseases by integrating epidemiological dynamics with a kinetic model of wealth exchange. The multi-agent description leads to study the evolution over time of a…

Physics and Society · Physics 2020-08-12 G. Dimarco , L. Pareschi , G. Toscani , M. Zanella

Current modeling of infectious diseases allows for the study of complex and realistic scenarios that go from the population to the individual level of description. However, most epidemic models assume that the spreading process takes place…

Physics and Society · Physics 2015-04-15 Joaquín Sanz , Cheng-Yi Xia , Sandro Meloni , Yamir Moreno

Built environment supports all the daily activities and shapes our health. Leveraging informative street view imagery, previous research has established the profound correlation between the built environment and chronic, non-communicable…

Computer Vision and Pattern Recognition · Computer Science 2023-11-17 Zhenyu Han , Yanxin Xi , Tong Xia , Yu Liu , Yong Li

Dynamical phenomena such as infectious diseases are often investigated by following up subjects longitudinally, thus generating time to event data. The spatial aspect of such data is also of primordial importance, as many infectious…

Methodology · Statistics 2020-10-13 Ajmal Oodally , Estelle Kuhn , Klara Goethals , Luc Duchateau

Standard epidemiological models for COVID-19 employ variants of compartment (SIR) models at local scales, implicitly assuming spatially uniform local mixing. Here, we examine the effect of employing more geographically detailed diffusion…

In the Staged Progression (SP) epidemic models, infected individuals are classified into a suitable number of states. The goal of these models is to describe as closely as possible the effect of differences in infectiousness exhibited by…

Dynamical Systems · Mathematics 2024-02-08 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

Epidemic models are invaluable tools to understand and implement strategies to control the spread of infectious diseases, as well as to inform public health policies and resource allocation. However, current modeling approaches have…

Methodology · Statistics 2026-05-12 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt
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