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We consider the development of hyperbolic transport models for the propagation in space of an epidemic phenomenon described by a classical compartmental dynamics. The model is based on a kinetic description at discrete velocities of the…

物理与社会 · 物理学 2021-04-12 Giulia Bertaglia , Lorenzo Pareschi

Classical compartmental models in epidemiology often assume a homogeneous population for simplicity, which neglects the inherent heterogeneity among individuals. This assumption frequently leads to inaccurate predictions when applied to…

种群与进化 · 定量生物学 2024-09-09 Ning Jiang , Weiqi Chu , Yao Li

This work aims to assess the risks of Covid-19 disease spread in diverse daily-life situations (referred to as scenarios) involving crowds of maskless pedestrians, mostly outdoors. More concretely, we develop a method to infer the global…

物理与社会 · 物理学 2021-11-04 Willy Garcia , Simon Mendez , Baptiste Fray , Alexandre Nicolas

One of the many unresolved questions that revolves around the Covid-19 pandemic is whether local outbreaks can depend on ambient conditions like temperature and relative humidity. In this paper, we develop a model that tries to explain and…

流体动力学 · 物理学 2020-07-14 Swetaprovo Chaudhuri , Saptarshi Basu , Prasenjit Kabi , Vishnu R. Unni , Abhishek Saha

This paper proposes a hypothetical model for the dual role of respiratory aerosols and inflammatory exudates in the dynamics and progression of SARS-CoV-2 lung infection. Starting from a new paradigm in infectious disease transmission, we…

组织与器官 · 定量生物学 2025-06-02 Shi Qiru

We present an early version of a Susceptible-Exposed-Infected-Recovered-Deceased (SEIRD) mathematical model based on partial differential equations coupled with a heterogeneous diffusion model. The model describes the spatio-temporal spread…

Simulating the spread of infectious diseases in human communities is critical for predicting the trajectory of an epidemic and verifying various policies to control the devastating impacts of the outbreak. Many existing simulators are based…

种群与进化 · 定量生物学 2021-04-22 Arash Mehrjou , Ashkan Soleymani , Amin Abyaneh , Samir Bhatt , Bernhard Schölkopf , Stefan Bauer

Infectious disease outbreaks have precipitated a profusion of mathematical models. Epidemic curves predicted by these models are typically qualitatively similar, despite distinct model assumptions, but there is no theoretical explanation…

种群与进化 · 定量生物学 2026-02-23 David J. D. Earn , Todd L. Parsons

Recently the A/H1N1-2009 virus pandemic appeared in Mexico and in other nations. We present a study of this pandemic in the Mexican case using the SIR model to describe epidemics. This model is one of the simplest models but it has been a…

生物物理 · 物理学 2012-10-26 Mario A. Rodriguez-Meza

Epidemic outbreaks are an important healthcare challenge, especially in developing countries where they represent one of the major causes of mortality. Approaches that can rapidly target subpopulations for surveillance and control are…

社会与信息网络 · 计算机科学 2018-07-04 Stefania Rubrichi , Zbigniew Smoreda , Mirco Musolesi

Infectious disease models can be of great use for understanding the underlying mechanisms that influence the spread of diseases and predicting future disease progression. Modeling has been increasingly used to evaluate the potential impact…

应用统计 · 统计学 2019-08-20 Md Mahsin , Rob Deardon , Patrick Brown

Phenomenological and deterministic models are often used for the estimation of transmission parameters in an epidemic and for the prediction of its growth trajectory. Such analyses are usually based on single peak outbreak dynamics. In…

种群与进化 · 定量生物学 2022-01-20 D. P. Mahapatra , S. Triambak

Natural ventilation can play an important role towards preventing the spread of airborne diseases in indoor environments. However, quantifying natural ventilation flow rates is a challenging task due to significant variability in the…

流体动力学 · 物理学 2023-04-04 Yunjae Hwang , Catherine Gorlé

In addition to its public health crisis, COVID-19 pandemic has led to the shutdown and closure of workplaces with an estimated total cost of more than $16 trillion. Given the long hours an average person spends in buildings and indoor…

系统与控制 · 电气工程与系统科学 2022-12-29 Ashkan Haji Hosseinloo , Saleh Nabi , Anette Hosoi , Munther A. Dahleh

In this paper, we study how interactions between populations impact epidemic spread. We extend the classical SEIR model to include both integration-based disease transmission simulation and population flow. Our model differs from existing…

物理与社会 · 物理学 2021-07-02 Lauren Streitmatter , Peter Zhang

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…

动力系统 · 数学 2024-02-08 Luis Sanz-Lorenzo , Rafael Bravo de la Parra

A key problem in modelling the evolution dynamics of infectious diseases is the mathematical representation of the mechanism of transmission of the contagion. Models with a finite number of subpopulations can be described via systems of…

最优化与控制 · 数学 2017-03-09 Sebastian Anita , Vincenzo Capasso

Pandemics have the potential to cause immense disruption and damage to communities and societies. In this paper, we propose a hybrid model to determine how the pandemic spread through the world. The model combines the SEIR-based model for…

种群与进化 · 定量生物学 2010-06-02 Teruhiko Yoneyama , Mukkai S. Krishnamoorthy

Coupling within-host infection dynamics with population-level transmission remains a major challenge in infectious disease modeling, especially for airborne pathogens with potential to spread indoor. The frequent emergence of such diseases…

偏微分方程分析 · 数学 2025-12-18 Andrew Omame , Sarafa Iyaniwura

Respiratory droplets exhaled during speaking, coughing or sneezing have been responsible for the spread of the ongoing Covid-19 pandemic. The droplet dynamics depend on the surrounding air velocity, temperature and relative humidity.…

流体动力学 · 物理学 2022-02-16 Riddhideep Biswas , Anish Pal , Ritam Pal , Sourav Sarkar , Achintya Mukhopadhyay