Modelling and Analysis of HIV/AIDS Menace using Differential Equations

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 3, Issue 2

Abstract

Mathematical models play important role in understanding the population dynamics of HIV/AIDS. In this study, a mathematical model is formulated for a community which has the structure of two classes with different levels of sexual activity one is high activity group that include commercial sex workers and their male customers; and the other is low activity group. These two groups are further divided into two sub-groups as HIV infected and unaware, and HIV infected and aware after screening. It is assumed that people in low activity group when become aware, do not spread infection any more by means of either not participating in sexual activity at all or by taking some preventive measures. The model is analysed using stability theory of differential equations, numerical simulation and sensitivity analysis.

Authors and Affiliations

Nita H. Shah

Keywords

Related Articles

On Statistically Convergent and Statistically Cauchy Sequences in Non-Archimedean fields

In this paper, denotes a complete, non-trivially valued non-archimedean field. In the present paper, statistical convergence of sequences and statistically Cauchy sequences are defined and a few theorems on statistically...

ON upper and lower SP-θ (semi-pre-θ)-Continuous Multifunctions

In this paper we introduce and investigate a new types of multifunctions called upper(lower) sp-θ-continuous multifunctions and upper(lower) semi-pre-θ-continuous multifunctions by using the notions in [1]. The concept...

An Elementary Proof of Gilbreaths Conjecture

Given the fact that the Gilbreath's Conjecture has been a major topic of research in Aritmatic progression for well over a Century,and as bellow:2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 611 2 2 4 2 4 2 4 6 2 6 4 2...

The product Nystr–m method and Volterra-Hammerstien Integral Equation with A Generalized Singular Kernel

In this work, the existence of a unique solution of Volterra-Hammerstein integral equation of the second kind (V-HIESK) is discussed. The Volterra integral term (VIT) is considered in time with a continuous kernel, while...

On the Zero Divisor Graphs of a Class of Commutative Completely Primary Finite Rings

Let R be a Completely Primary Finite Ring with a unique maximal ideal Z(R)), satisfying ((Z(R))n−1 ̸= (0) and (Z(R))n = (0): The structures of the units some classes of such rings have been determined. In this paper,...

Download PDF file
  • EP ID EP651208
  • DOI 10.24297/jam.v3i2.6553
  • Views 168
  • Downloads 0

How To Cite

Nita H. Shah (2013). Modelling and Analysis of HIV/AIDS Menace using Differential Equations. JOURNAL OF ADVANCES IN MATHEMATICS, 3(2), 191-200. https://europub.co.uk/articles/-A-651208