Related Experiment Video
Updated: May 10, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Combination HIV prevention: the value and interpretation of mathematical models
1Division of Infectious Disease, Department of Medicine, Massachusetts General Hospital, 50 Staniford Street, 9th Floor, Boston, MA 02114, USA. rwalensky@partners.org
Abstract:
Mathematical models of HIV prevention interventions often provide critical insights related to programmatic design and economic efficiency. One recent dynamic model by Long et al. highlights that a combination prevention approach - with testing, treatment, circumcision, microbicides and PrEP - may decrease transmissions by over 60% and may be very cost-effective in South Africa. In this analysis, the authors introduce the critical concept of joint effectiveness of preventions programs and demonstrate how some programs operate synergistically (HIV screening coupled with early treatment) while others may create redundancies (microbicides coupled with pre-exposure prophylaxis). Whether combination HIV prevention programs perform with additive, multiplicative or maximal effectiveness will be important to consider in anticipation of their combined transmission impact.
Related Concept Videos
Fundamental Mathematical Principles in Pharmacokinetics: Calculus and Graphs
On the other hand, integral calculus focuses on...
Models of Health Promotion and Illness Prevention I
The health belief model (HBM) attempts to predict health-related behavior in specific belief patterns. According to the HBM, a person's...
Pharmacodynamic Models: Additive and Proportional Drug Effect Model
Types of Biopharmaceutical Studies: Controlled and Non-Controlled Approaches
Non-controlled studies, commonly employed for initial exploration, lack a control group, rendering them susceptible to biases and external influences. In contrast, controlled...
Pharmacodynamic Models: Overview
Impact of Pharmacokinetic–Pharmacodynamic Models: Regulatory Decisions

