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We propose a Bayesian Heterogeneity Learning approach for Susceptible-Infected-Removal-Susceptible (SIRS) model that allows underlying clustering patterns for transmission rate, recovery rate, and loss of immunity rate for the latest…

Applications · Statistics 2020-07-17 Guanyu Hu , Junxian Geng

In an earlier paper we proposed a recursive model for epidemics; in the present paper we generalize this model to include the asymptomatic or unrecorded symptomatic people, which we call {\em dark people} (dark sector). We call this the…

Populations and Evolution · Quantitative Biology 2021-03-01 Matthias Kreck , Erhard Scholz

Interpreting deep learning time series models is crucial in understanding the model's behavior and learning patterns from raw data for real-time decision-making. However, the complexity inherent in transformer-based time series models poses…

We present an approach to studying and predicting the spatio-temporal progression of infectious diseases. We treat the problem by adopting a partial differential equation (PDE) version of the Susceptible, Infected, Recovered, Deceased…

Biological Physics · Physics 2021-04-30 Zhenlin Wang , Mariana Carrasco Teja , Xiaoxuan Zhang , Gregory Teichert , Krishna Garikipati

Epidemiological models with constant parameters may not capture satisfactory infection patterns in the presence of pharmaceutical and non-pharmaceutical mitigation measures during a pandemic, since infectiousness is a function of time. In…

Populations and Evolution · Quantitative Biology 2022-05-16 K. D. Olumoyin , A. Q. M. Khaliq , K. M. Furati

Analysing and understanding the transmission and evolution of the COVID-19 pandemic is mandatory to be able to design the best social and medical policies, foresee their outcomes and deal with all the subsequent socio-economic effects. We…

Populations and Evolution · Quantitative Biology 2025-07-28 Radu D. Stochiţoiu , Marian Petrica , Traian Rebedea , Ionel Popescu , Marius Leordeanu

As global living standards improve and medical technology advances, many infectious diseases have been effectively controlled. However, certain diseases, such as the recent COVID-19 pandemic, continue to pose significant threats to public…

Numerical Analysis · Mathematics 2025-02-24 Ayesha Baig , Li Zhouxin

The outbreak of COVID-19 i.e. a variation of coronavirus, also known as novel corona virus causing respiratory disease is a big concern worldwide since the end of December 2019. As of September 12, 2020, it has turned into an epidemic…

Machine Learning · Computer Science 2020-10-08 Neeraj , Jimson Mathew , Ranjan Kumar Behera , Zenin Easa Panthakkalakath

The goal of this study is to establish a general framework for predicting the so-called critical Turning Period in an infectious disease epidemic such as the COVID-19 outbreak in China early this year. This framework enabled a timely…

Populations and Evolution · Quantitative Biology 2022-10-19 George Xianzhi Yuan , Lan Di , Yudi Gu , Guoqi Qian , Xiaosong Qian

Accurate forecasts of the number of newly infected people during an epidemic are critical for making effective timely decisions. This paper addresses this challenge using the SIMLR model, which incorporates machine learning (ML) into the…

Machine Learning · Computer Science 2021-06-04 Roberto Vega , Leonardo Flores , Russell Greiner

In this paper, we introduce a novel modeling framework for incorporating fear of infection and frustration with social distancing into disease dynamics. We show that the resulting SEIR behavior-perception model has three principal modes of…

Populations and Evolution · Quantitative Biology 2020-08-14 Matthew D. Johnston , Bruce Pell

An accurate and efficient forecasting system is imperative to the prevention of emerging infectious diseases such as COVID-19 in public health. This system requires accurate transient modeling, lower computation cost, and fewer observation…

Machine Learning · Computer Science 2021-01-26 Dongdong Wang , Shunpu Zhang , Liqiang Wang

In the absence of other tools, monitoring the effects of protective measures, including social distancing and forecasting the outcome of outbreaks is of immense interest. Real-time data is noisy and very often hampered by systematic errors…

Populations and Evolution · Quantitative Biology 2020-08-11 Gabor Vattay

Compartmental models are popular in the mathematics of epidemiology for their simplicity and wide range of applications. Although they are typically solved as initial value problems for a system of ordinary differential equations, the…

Populations and Evolution · Quantitative Biology 2022-10-12 Eduard Campillo-Funollet , Hayley Wragg , James Van Yperen , Duc-Lam Duong , Anotida Madzvamuse

We investigate the SIR epidemic on a dynamic inhomogeneous Erd\H{o}s-R\'enyi random graph, in which vertices are of one of $k$ types and in which edges appear and disappear independently of each other. We establish a functional law of large…

Probability · Mathematics 2024-04-22 Yuanfei Huang , Adrian Röllin

We propose an epidemic model SIPHERD in which three categories of infection carriers Symptomatic, Purely Asymptomatic, and Exposed are considered with different rates of transmission of infection that are taken dependent on the lockdown and…

Populations and Evolution · Quantitative Biology 2020-08-26 Ashutosh Mahajan , Ravi Solanki , A. S. Namitha

Classical epidemiological models assume homogeneous populations. There have been important extensions to model heterogeneous populations, when the identity of the sub-populations is known, such as age group or geographical location. Here,…

Machine Learning · Computer Science 2023-02-10 Roberto Vega , Zehra Shah , Pouria Ramazi , Russell Greiner

The pandemic of novel SARS-CoV-2 also known as COVID-19 has been spreading worldwide, causing rampant loss of lives. Medical imaging such as CT, X-ray, etc., plays a significant role in diagnosing the patients by presenting the visual…

Image and Video Processing · Electrical Eng. & Systems 2022-03-29 Narinder Singh Punn , Sonali Agarwal

A model of reactive social distancing in epidemics is proposed, in which the infection rate changes with the number infected. The final-size equation for the total number that the epidemic will infect can be derived analytically, as can the…

Populations and Evolution · Quantitative Biology 2020-03-19 Rose Baker

The outbreak of the coronavirus disease 2019 (COVID-19) has now spread throughout the globe infecting over 150 million people and causing the death of over 3.2 million people. Thus, there is an urgent need to study the dynamics of…