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The World Health Organization (WHO) guidelines for monitoring the effectiveness of HIV treatment in resource-limited settings (RLS) are mostly based on clinical and immunological markers (e.g., CD4 cell counts). Recent research indicates…

Methodology · Statistics 2020-10-05 Tao Liu , Joseph W. Hogan , Lisa Wang , Shangxuan Zhang , Rami Kantor

An optimal control problem for a model of tumor growth is studied. In a given subdomain, it is required to minimize the density of tumor cells, while the drug concentration in tissue is limited by given minimal and maximal values. Based on…

Optimization and Control · Mathematics 2024-07-12 Andrey Kovtanyuk , Christina Kuttler , Kristina Koshel , Alexander Chebotarev

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

There are often multiple diseases with cross immunity competing for vaccination resources. Here we investigate the optimal vaccination program in a two-layer Susceptible-Infected-Removed (SIR) model, where two diseases with cross immunity…

Populations and Evolution · Quantitative Biology 2021-05-26 Yang Ye , Qingpeng Zhang , Zhidong Cao , Daniel Dajun Zeng

The timing of antiretroviral therapy (ART) initiation for HIV and tuberculosis (TB) co-infected patients needs to be considered carefully. CD4 cell count can be used to guide decision making about when to initiate ART. Evidence from recent…

Applications · Statistics 2019-04-04 Liangyuan Hu , Joseph W. Hogan , Ann W. Mwangi , Abraham Siika

We propose and study a compartmental model for epidemiology with human behavioral effects. Specifically, our model incorporates governmental prevention measures aimed at lowering the disease infection rate, but we split the population into…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Chloe Ngo , Christian Parkinson , Weinan Wang

HIV is a deadly virus transmitted either through having of unprotected sex, mother to child transmission, sharing of unsterilized objects that is capable of making cut or wounds on the body, through blood or bodily fluid transmission. AIDS…

Populations and Evolution · Quantitative Biology 2016-09-19 M. O. Oladejo , Ali Onuche John

Bipartite networks are composed of two types of nodes and there are no links between nodes of the same type. Thus the study of epidemic spread and control on such networks is relevant to sexually transmitted diseases (STDs). When entire…

Physics and Society · Physics 2011-05-18 Shinji Tanimoto

In this paper, we formulate cyber risk management and mitigation as a stochastic optimal control problem under a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model. To capture the dynamics and interplay of management and…

Optimization and Control · Mathematics 2026-01-29 Shize Na , Zhuo Jin , Ran Xu , Hailiang Yang

Methods are lacking to handle the problem of survival analysis in the presence of an interval-censored covariate, specifically the case in which the conditional hazard of the primary event of interest depends on the occurrence of a…

This paper conducts research on the established model and presents the main conclusions . Firstly, by separately considering the infectivity of each of the two infectious diseases and the infectivity of the population simultaneously…

Populations and Evolution · Quantitative Biology 2025-03-13 Yang Liu

Introduction: The value of integrating federal HIV services data with HIV surveillance is currently unknown. Upstream and complete case capture is essential in preventing future HIV transmission. Methods: This study integrated Ryan White,…

Machine Learning · Computer Science 2023-04-21 Nick Williams

Recent clinical studies have shown that HIV disease pathogenesis can depend strongly on many factors at the time of transmission, including the strength of the initial viral load and the local availability of CD4+ T-cells. In this article,…

Populations and Evolution · Quantitative Biology 2019-10-15 Stephen Pankavich , Nathan Neri , Deborah Shutt

This contribution is devoted to a new model of HIV multiplication motivated by the patent of one of the authors. We take into account the antigenic diversity through what we define "antigenicity", whether of the virus or of the adapted…

Numerical Analysis · Mathematics 2011-02-02 François Dubois , Hervé Le Meur , Claude Reiss

The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical interventions. In particular, the most effective measures in this direction have been the stay-at-home and closure strategies of businesses and schools.…

Physics and Society · Physics 2022-05-04 G. Dimarco , G. Toscani , M. Zanella

In the context of epidemiology, policies for disease control are often devised through a mixture of intuition and brute-force, whereby the set of logically conceivable policies is narrowed down to a small family described by a few…

Populations and Evolution · Quantitative Biology 2021-10-04 Miguel Navascues , Costantino Budroni , Yelena Guryanova

Though platform trials have been touted for their flexibility and streamlined use of trial resources, their statistical efficiency is not well understood. We fill this gap by establishing their greater efficiency for comparing the relative…

Methodology · Statistics 2022-01-28 Tzu-Jung Huang , Alex Luedtke , the AMP Investigators Group

Tuberculosis (TB) is an infectious disease transmitted through the respiratory system. China is one of the countries with a high burden of TB. Since 2004, an average of more than 800,000 cases of active TB have been reported each year in…

Applications · Statistics 2023-04-03 Chuanqing Xu , Kedeng Cheng , Yu Wang , Songbai Guo , Maoxing Liu , Xiaojing Wang , Zhiguo Zhang

In [Math. Comput. Sci. 12 (2018), no. 2, 111--127], a delayed model describing the dynamics of the Human Immunodeficiency Virus (HIV) with Cytotoxic T Lymphocytes (CTL) immune response is investigated by Allali, Harroudi and Torres. Here,…

Dynamical Systems · Mathematics 2022-10-03 Sandra Vaz , Delfim F. M. Torres

This paper considers the distributed robust suboptimal consensus control problem of linear multi-agent systems, with both H2 and H_infty performance requirements. A novel two-step complementary design approach is proposed. In the first…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Zhongkui Li , Junjie Jiao , Xiang Chen