English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present a stochastic model of the population dynamics of HIV/AIDS with treatment and inflow of infectives. Starting with a deterministic compartmental model, each of the four ordinary differential equations are stochastically perturbed. An invariant Rσ similar to the basic reproduction number of an ordinary differential equation system is introduced. Under conditions which permit the existence of a disease-free equilibrium point, we prove almost sure exponential stability of the disease-free equilibrium for Rσ < 1. We also investigate asymptotic behaviour of the solutions to the stochastic model around the endemic equilibrium of the underlying deterministic model. Our theoretical results are illustrated by simulations with parameters applicable to South Africa. AMS Subject Classification: 92D30, 34K20

A STOCHASTIC MODEL FOR HIV EPIDEMIC WITH TREATMENT AND INFLOW OF INFECTIVES