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We consider the standard three-component differential equation model for the growth of an HIV virion population in an infected host in the absence of drug therapy. The dynamical properties of the model are determined by the set of values of…

Populations and Evolution · Quantitative Biology 2011-07-19 Henry C Tuckwell , Patrick D Shipman

Estimating the number of the number of people from hidden and/or marginalised populations - such as people dependent on opioids or cocaine - is important to guide policy decisions and provision of harm reduction services. Methods such as…

Cross-sectional HIV incidence estimation leverages recency test results to determine the HIV incidence of a population of interest, where recency test uses biomarker profiles to infer whether an HIV-positive individual was "recently"…

Methodology · Statistics 2023-11-21 Qi Wang , Ann Duerr , Fei Gao

The last two centuries have seen a significant increase in life expectancy. Although past trends suggest that mortality will continue to decline in the future, uncertainty and instability about the development is greatly increased due to…

Applications · Statistics 2023-11-28 Asmik Nalmpatian , Christian Heumann , Stefan Pilz

The existing life table method needs to calculate the age-specific mortality first, not only has too many and complicated calculation steps, but also introduces the multiple approximation to bring error. This paper redefines the probability…

Other Quantitative Biology · Quantitative Biology 2020-04-21 Weidong Huang

The United Nations' Sustainable Development Goal 3.2 aims to reduce under-5 child mortality to 25 deaths per 1,000 live births by 2030. Child mortality tends to be concentrated in developing regions where much of the information needed to…

Applications · Statistics 2018-10-10 Katie Wilson , Jon Wakefield

We have simulated demographic changes in the human population using the Penna microscopic model, based on the simple Monte Carlo method. The results of simulations have shown that during a few generations changes in the genetic pool of a…

Statistical Mechanics · Physics 2007-05-23 A. Laszkiewicz , Sz. Szymczak , S. Cebrat

Mathematical and computational modeling approaches are increasingly used as quantitative tools in the analysis and forecasting of infectious disease epidemics. The growing need for realism in addressing complex public health questions is…

In this paper, we continue development of the new epidemiological model HIT, which is suitable for analyzing and predicting the propagation of COVID-19 epidemics. This is a discrete-time model allowing a reconstruction of the dynamics of…

Physics and Society · Physics 2020-07-24 Yurii Nesterov

Background: The global spread of the severe acute respiratory syndrome (SARS) epidemic has clearly shown the importance of considering the long-range transportation networks in the understanding of emerging diseases outbreaks. The…

Other Quantitative Biology · Quantitative Biology 2008-01-16 Vittoria Colizza , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

In this paper, we construct a model to describe the transmission of HIV in a homogeneous host population. By considering the specific mechanism of HIV, we derive a model structured in three successive stages: (i) primary infection, (ii)…

Analysis of PDEs · Mathematics 2019-11-18 Mboya Ba , Ramsès Djidjou-Demasse , Mountaga Lam , Jean-Jules Tewa

Epidemiology simulations have become a fundamental tool in the fight against the epidemics of various infectious diseases like AIDS and malaria. However, the complicated and stochastic nature of these simulators can mean their output is…

We study the relation between different social behaviors and the onset of epidemics in a model for the dynamics of sexual transmitted diseases. The model considers the society as a system of individual sexuated agents that can be organized…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 Sebastian Goncalves , Marcelo Kuperman , Marcelo Ferreira da Costa Gomes

Accurate estimates of the under-5 mortality rate (U5MR) in a developing world context are a key barometer of the health of a nation. This paper describes new models to analyze survey data on mortality in this context. We are interested in…

Estimates of population size for hidden and hard-to-reach individuals are of particular interest to health officials when health problems are concentrated in such populations. Efforts to derive these estimates are often frustrated by a…

Social and Information Networks · Computer Science 2017-02-01 Bilal Khan , Hsuan-Wei Lee , Kirk Dombrowski

In epidemiological or demographic studies, with variable age at onset, a typical quantity of interest is the incidence of a disease (for example the cancer incidence). In these studies, the individuals are usually highly heterogeneous in…

Statistics Theory · Mathematics 2025-05-20 Vivien Goepp , Jean-Christophe Thalabard , Grégory Nuel , Olivier Bouaziz

Human papillomavirus (HPV) infection is the most common sexually transmitted infection in the world. Persistent oncogenic Human papillomavirus infection has been a leading threat to global health and can lead to serious complications such…

Populations and Evolution · Quantitative Biology 2024-11-13 Weiyi Wang , Shailendra Sawleshwarkar , Mahendra Piraveenan

In low- and middle-income countries, household surveys are the most reliable data source to examine health and demographic indicators at the subnational level, an exercise in small area estimation. Model-based unit-level models are favored…

Methodology · Statistics 2022-09-23 Yunhan Wu , Jon Wakefield

Child mortality is an important population health indicator. However, many countries lack high-quality vital registration to measure child mortality rates precisely and reliably over time. Research endeavors such as those by the United…

Applications · Statistics 2026-01-29 Katherine R Paulson , Taylor Okonek , Jon Wakefield

Since the beginning of the COVID-19 pandemic, many dashboards have emerged as useful tools to monitor the evolution of the pandemic, inform the public, and assist governments in decision making. Our goal is to develop a globally applicable…