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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…

Populations and Evolution · Quantitative Biology 2022-01-20 D. P. Mahapatra , S. Triambak

We study a resource allocation problem for containing an infectious disease in a metapopulation subject to resource uncertainty. We propose a two-stage model where the policy maker seeks to allocate resources in both stages where the second…

Optimization and Control · Mathematics 2020-06-03 Ceyda Yaba Best , Amin Khademi , Burak Eksioglu

COVID-19 has resulted in a public health global crisis. The pandemic control necessitates epidemic models that capture the trends and impacts on infectious individuals. Many exciting models can implement this but they lack practical…

Computers and Society · Computer Science 2021-04-13 Ou Deng , Kiichi Tago , Qun Jin

We present a compartmental meta-population model for the spread of Covid-19 in India. Our model simulates populations at a district or state level using an epidemiological model that is appropriate to Covid-19. Different districts are…

Mathematical models of epidemics often use compartmental models dividing the population into several compartments. Based on a microscopic setting describing the temporal evolution of the subpopulation sizes in the compartments by stochastic…

Populations and Evolution · Quantitative Biology 2025-03-11 Florent Ouabo Kamkumo , Ibrahim Mbouandi Njiasse , Ralf Wunderlich

Interaction-driven modeling of diseases over real-world contact data has been shown to promote the understanding of the spread of diseases in communities. This temporal modeling follows the path-preserving order and timing of the contacts,…

Applications · Statistics 2023-07-13 Yanir Marmor , Alex Abbey , Yuval Shahar , Osnat Mokryn

The time-varying effective reproduction number $R_t$ is a widely used indicator of transmission dynamics during infectious disease outbreaks. Timely estimates of $R_t$ can be obtained from observations close to the original date of…

Methodology · Statistics 2024-07-15 Adrian Lison , Sam Abbott , Jana Huisman , Tanja Stadler

Accurate forecasts of COVID-19 is central to resource management and building strategies to deal with the epidemic. We propose a heterogeneous infection rate model with human mobility for epidemic modeling, a preliminary version of which we…

Populations and Evolution · Quantitative Biology 2020-05-06 Ajitesh Srivastava , Viktor K. Prasanna

We introduce a deterministic model that partitions the total population into the susceptible, infected, quarantined, and those traced after exposure, the recovered and the deceased. We hypothesize 'accessible population for transmission of…

Populations and Evolution · Quantitative Biology 2020-06-09 G. Ananthakrishna , Jagadish Kumar

In times of outbreaks, an essential requirement for better monitoring is the evaluation of the number of undiagnosed infected individuals. An accurate estimate of this fraction is crucial for the assessment of the situation and the…

Populations and Evolution · Quantitative Biology 2021-03-17 Akiva B. Melka , Yoram Louzoun

In a recent work we introduced a novel method to compute the effective reproduction number $R_t$ and we applied it to describe the development of the COVID-19 outbreak in Italy. The study is based on the number of daily positive swabs as…

Epidemiological models for the spread of pathogens in a population are usually only able to describe a single pathogen. This makes their application unrealistic in cases where multiple pathogens with similar symptoms are spreading…

Social and Information Networks · Computer Science 2018-05-16 Nir Levy , Michael Iv , Elad Yom-Tov

The evolution of epidemiological parameters, such as instantaneous reproduction number Rt, is important for understanding the transmission dynamics of infectious diseases. Current estimates of time-varying epidemiological parameters often…

Applications · Statistics 2021-10-26 Xian Yang , Shuo Wang , Yuting Xing , Ling Li , Richard Yi Da Xu , Karl J. Friston , Yike Guo

For many infectious disease outbreaks, the at-risk population changes their behavior in response to the outbreak severity, causing the transmission dynamics to change in real-time. Behavioral change is often ignored in epidemic modeling…

Methodology · Statistics 2023-10-25 Caitlin Ward , Rob Deardon , Alexandra M. Schmidt

The basic reproductive number -- $R_0$ -- is one of the most common and most commonly misapplied numbers in public health. Although often used to compare outbreaks and forecast pandemic risk, this single number belies the complexity that…

Populations and Evolution · Quantitative Biology 2020-04-15 Laurent Hébert-Dufresne , Benjamin M. Althouse , Samuel V. Scarpino , Antoine Allard

Mathematical models in epidemiology are an indispensable tool to determine the dynamics and important characteristics of infectious diseases. Apart from their scientific merit, these models are often used to inform political decisions and…

Compartmental models are the most widely used framework for modeling infectious diseases. These models have been continuously refined to incorporate all the realistic mechanisms that can shape the course of an epidemic outbreak. Building on…

The COVID-19 pandemic (SARS-CoV-2 virus) is the defying global health crisis of our time. The absence of mass testing and the relevant presence of asymptomatic individuals causes the available data of the COVID-19 pandemic in Brazil to be…

Populations and Evolution · Quantitative Biology 2020-06-30 Saulo B. Bastos , Marcelo M. Morato , Daniel O. Cajueiro anda Julio E Normey-Rico

The spread of COVID-19 has been greatly impacted by regulatory policies and behavior patterns that vary across counties, states, and countries. Population-level dynamics of COVID-19 can generally be described using a set of ordinary…

Applications · Statistics 2022-04-11 Joshua P. Keller , Tianjian Zhou , Andee Kaplan , G. Brooke Anderson , Wen Zhou

We develop a general modelling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment-specific traits. We start by formulating an individual-based…

Populations and Evolution · Quantitative Biology 2025-08-14 Emanuele Bernardi , Tommaso Lorenzi , Mattia Sensi , Andrea Tosin
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