Medicine and Health Sciences Commons^™

Global Stability For A 2n + 1 Dimensional Hiv/Aids Epidemic Model With Treatments, Olusegun Michael Otunuga

Mathematics Faculty Research

In this work, we derive and analyze a 2n + 1-dimensional deterministic differential equation modeling the transmission and treatment of HIV (Human Immunodeficiency Virus) disease. The model is extended to a stochastic differential equation by introducing noise in the transmission rate of the disease. A theoretical treatment strategy of regular HIV testing and immediate treatment with Antiretroviral Therapy (ART) is investigated in the presence and absence of noise. By defining R0, n, Rt, n and Rt,n as the deterministic basic reproduction number in the absence of ART treatments, deterministic basic reproduction number in the presence of …

West Virginia Needle Exchange Program, Briana Washington, Sara Johnson

Theses, Dissertations and Capstones

Introduction: Needle Exchange Programs (NEPs) have been controversial aspects of public healthcare due to conflicting beliefs and opinions for public policies. NEPs allow Injection Drug Users (IDUs) the ability to exchange their used equipment for clean, unused supplies.

Purpose: The purpose of this literature review was to determine the effectiveness of needle exchange programs and the impact it has had on the reduction of HIV and viral hepatitis infections in people who inject drugs. It further explores if these strategies have had a positive impact on the reduction of HIV and viral hepatitis C in West Virginia.

Methodology …