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

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

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

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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