# 2018 Annual Meeting of the Society for Mathematical Biology & the Japanese Society for Mathematical Biology

8-12 July 2018
Australia/Sydney timezone

## Dynamical system of HIV infections among female sexual workers and injecting drug users with treatment and prevention

Not scheduled
15m
Board: 34
Poster Presentation Disease - infectious

### Speaker

Ms Rafiqah Setiawaty (Bogor Agricultural University)

### Description

In this paper, a model for the human immunodeficiency virus (HIV) infection among female sexual workers and injecting drug users is formulated. The injecting drug users (IDUs) are also considered as clients, therefore there are two transmission routes considered in this model: needle sharing between IDUs and commercial sex between female sex workers and IDUs as clients. This model also incorporates a treatment for the infected population and a prevention for the succeptible population. The qualitative analysis are also presented. The local stability are obtained by analyzing the epidemic threshold $R_0$. The result shows that the disease-free equilibrium is locally asymptotically stable when the condition $R_0<1$ is satisfied and a unique endemic equilibrium exists and it is locally asymptotically stable if $R_0>1$. The numerical simulations are also performed to support analytical result.

### Primary author

Ms Rafiqah Setiawaty (Bogor Agricultural University)

### Co-author

Mr Paian Sianturi (Bogor Agricultural University)

### Presentation Materials

There are no materials yet.