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A simple deterministic model is proposed to represent the basic aspects concerning the effects of different antiretroviral treatment schedules on HIV incidence and prevalence of affected populations. The model mimics current treatment…

Populations and Evolution · Quantitative Biology 2009-09-29 L. F. Lopez , F. A. B. Coutinho , M. N. Burattini , E. Massad

South Africa has more people infected with HIV but, by providing access to anti-retroviral therapy (ART), has kept more people alive than any other country. The effectiveness, availability and affordability of potent anti-retroviral therapy…

Quantitative Methods · Quantitative Biology 2013-11-11 Brian G. Williams , Eleanor Gouws

We propose a compartmental model for epidemiology wherein the population is split into groups with either comply or refuse to comply with protocols designed to slow the spread of a disease. Parallel to the disease spread, we assume that…

Dynamical Systems · Mathematics 2025-11-27 Christian Parkinson , Weinan Wang

Ambitious global goals have been established to provide universal access to affordable modern contraceptive methods. The UN's sustainable development goal 3.7.1 proposes satisfying the demand for family planning (FP) services by increasing…

Applications · Statistics 2018-12-04 Laina D. Mercer , Fred Lu , Joshua L. Proctor

In August 2020, the World Health Assembly approved the Global Strategy to eliminate cervical cancer, marking the first time that numerous countries committed to eliminating a form of cancer. China introduced the HPV vaccine in 2016 and has…

Populations and Evolution · Quantitative Biology 2025-06-10 Hua Liu , Chunya Liu , Yumei Wei , Qibin Zhang , Jingyan Ma

Stochastic compartmental models are important tools for understanding the course of infectious diseases epidemics in populations and in prospective evaluation of intervention policies. However, calculating the likelihood for discretely…

Computation · Statistics 2018-07-26 Lam Si Tung Ho , Forrest W. Crawford , Marc A. Suchard

In this paper we generalise a simple discrete time stochastic SIR type model defined by Tuckwell and Williams. The SIR model by Tuckwell and Williams assumes a homogeneous population, a fixed infectious period, and a strict transition from…

Populations and Evolution · Quantitative Biology 2025-04-21 Carles Rovira

Mortality is different across countries, states and regions. Several empirical research works however reveal that mortality trends exhibit a common pattern and show similar structures across populations. The key element in analyzing…

Applications · Statistics 2020-09-10 Lei Fang , Wolfgang K. Härdle , Juhyun Park

The death toll for Covid-19 may be reduced by dividing the population into two classes, the vulnerable and the fit, with different lockdown regimes. Instead of one reproduction number there now are four parameters. These make it possible to…

Populations and Evolution · Quantitative Biology 2020-10-05 Guus Balkema

Network models are increasingly used to study infectious disease spread. Exponential Random Graph models have a history in this area, with scalable inference methods now available. An alternative approach uses mechanistic network models.…

Methodology · Statistics 2024-01-11 Octavious Smiley , Till Hoffmann , Jukka-Pekka Onnela

We develop a Bayesian statistical model and estimation methodology based on Forward Projection Adaptive Markov chain Monte Carlo in order to perform the calibration of a high-dimensional non-linear system of Ordinary Differential Equations…

Applications · Statistics 2011-08-17 Igor A. Korostil , Gareth W. Peters , Julien Cornebise , David G. Regan

We study the influence of the rate of the attainment of herd immunity (HI), in the absence of an approved vaccine, on the vulnerable population. We essentially ask the question: how hard the evolution towards the desired herd immunity could…

Populations and Evolution · Quantitative Biology 2020-06-01 Sayantan Mondal , Saumyak Mukherjee , Biman Bagchi

The analysis of the demographic transition of the past century and a half, using both empirical data and mathematical models, has rendered a wealth of well-established facts, including the dramatic increases in life expectancy. Despite…

Populations and Evolution · Quantitative Biology 2018-07-02 Albert Solé-Ribalta , Javier Borge-Holthoefer

Missing data is a recurrent issue in epidemiology where the infection process may be partially observed. Approximate Bayesian Computation, an alternative to data imputation methods such as Markov Chain Monte Carlo integration, is proposed…

Applications · Statistics 2010-08-31 Michael G. B. Blum , Viet Chi Tran

To combat the HIV/AIDS pandemic effectively, targeted interventions among certain key populations play a critical role. Examples of such key populations include sex workers, people who inject drugs, and men who have sex with men. While…

Applications · Statistics 2021-07-14 Jacob Parsons , Xiaoyue Niu , Le Bao

People living with HIV face a high burden of comorbidities, yet early detection is often limited by symptom-driven screening. We evaluate the potential of AI to predict multiple comorbidities from routinely collected Electronic Health…

Computers and Society · Computer Science 2025-09-01 Solomon Russom , Dimitrios Kollias , Qianni Zhang

A rapid decline in mortality and fertility has become major issues in many developed countries over the past few decades. A precise model for forecasting demographic movements is important for decision making in social welfare policies and…

Machine Learning · Statistics 2024-12-30 Ka Kin Lam , Bo Wang

This paper uses new and existing methods to study collective trends across countries throughout the pandemic, with a focus on the multivariate time series of reproduction numbers and vaccine proliferation. We begin with a time-varying…

Physics and Society · Physics 2023-10-16 Nick James , Max Menzies

Chronic diseases and cancer account for over 75 percent of healthcare costs in the US. Increased prevention services and improved primary care are thought to decrease costs. Current models for detecting changes in the health of populations…

Populations and Evolution · Quantitative Biology 2013-07-15 Jacob Kuriyan , Nathaniel Cobb

The analytic derivation of a more general model of survival-mortality and the estimation of a parameter bx related to the Healthy Life Years Lost (HLYL) is followed with the formulation of a computer program providing results similar to…

Populations and Evolution · Quantitative Biology 2019-09-25 Christos H Skiadas , Charilaos Skiadas
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