Stochastic Models for HIV Transmission as a Vector-Host Disease

Rachel Martin

Carleton College

Margaret Sauer

Carleton College

Evan Olawsky

Carleton College

Michelle Marinello

Carleton College


Abstract

HIV remains a serious health concern within the United States. Here we extend existing stochastic models for the spread of HIV, with an emphasis on treatment strategies for prison populations. Our model explicitly accounts for intravenous drug use by treating HIV as a vector-host disease, in which shared needles act as disease-transmitting vectors, much like mosquitoes act in the transmission of malaria. Results in simulation suggest that needle exchange programs can be an effective way of reducing overall HIV infection rates.