Current Issue:
January,
2018
Vol.
7(1)
Global Advanced Research Journal of Physical and Applied Sciences (GARJPAS)
June 2016, 5(2): pp. 011-017
Copyright © 2016 Global Advanced Research Journals
Review
Sensitivity Analysis of the Parameters of a Model of HIV-1 Transmission
1Usman IG, 2Liman MA, 3Yusuf I, 4Abdulrahman S, 5Garba ZU and 6Isah N
1Department of Mathematics, Zamfara State College of Education Maru, Nigeria
2Department of Mathematics, Niger State College of Education Minna, Nigeria
3Department of Computer Science, Niger State College of Education Minna, Nigeria
4Department of Mathematics, Federal University of Technology Minna, Nigeria
5Department of Mathematics, Shehu Shagari College of Education Sokoto, Nigeria
6Academic Planning Unit, Federal University Gusau, Nigeria
Corresponding Author Email: gloradiance@yahoo.com
Accepted 8 June, 2016
Abstract
A non-linear deterministic model is considered to study the dynamics of HIV-1 with vertical transmission. The total population is divided into four mutually exclusive classes of susceptible, asymptomatic, symptomatic and AIDS individuals. Invariant region and positivity solution of the model is determined. The model threshold parameter is investigated using next generation operator method. Sensitivity analysis of the model parameters was carried out in order to identify the most sensitive parameters on the disease transmission. The results indicate that, the most sensitive parameters are the contact rate of the susceptible human with the asymptomatic individuals. The next is the number of sexual cohort of the susceptible with the asymptomatic individuals. The least sensitive parameter is the fraction of susceptible newborn from infective class. The parameters are highly sensitive to the transmission of HIV-1 and every effort must be put in place by the agencies concern to check these parameters
Keywords: HIV-1, Sensitivity analysis, Vertical transmission, and Horizontal transmission