Global Advanced Research Journal of Physical and Applied Sciences (GARJPAS)

May 2016, 5(1): pp. 004-010

Copyright © 2016 Global Advanced Research Journals

 

Full Length Research Paper

Mathematical Modelling for Screening and Migration in Horizontal and Vertical Transmission of HIV/AIDS

*1Garba ZU, 2Ibrahim MO, 3Danbaba A and 4Yusuf I

*1Department of Mathematics, Shehu Shagari College of Education, Sokoto, Nigeria

2Department of Mathematics, University of Ilorin, Kwara State, Nigeria

3Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

4Department of Computer Science, Niger State College of Education, Minna, Nigeria

Corresponding Author Email: zainabgumar2015@gmail.com

Accepted 26 May, 2016

Abstract

This study proposed and analyzed a non-linear mathematical model for the dynamics of the effects of screening and migration in horizontal and vertical transmission of HIV/AIDS. The equilibriums point of the model was found and their stability is investigated. The model exhibited two equilibrium namely, the disease-free and the endemic equilibra. It is found that if the effective reproduction number Ro < 1, the disease free equilibrium is locally asymptomatically stable. If Ro ≤ 1, the disease free equilibrium is globally asymptomatically stable. If Ro > 1, a unique equilibrium exist which is locally, asymptotically stable.

Keywords: HIV/AIDS, Mathematical model, Screening and Transmission

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