African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

A deterministic model for HIV infection incorporating identification rate in a heterosexual population: Mathematical analysis

Abha Teguria1, Manindra Kumar Srivastava2* and Anil Rajput3
  1Department of Mathematics, Government M.L.B. PG girl Autonomous College, Bhopal, India. 2Department of Mathematics, School of Management Sciences, Technical Campus, Lucknow, India. 3Department of Mathematics, Sadhu Basbani PG College, Bhopal, India.
Email: [email protected]

  •  Accepted: 11 June 2012
  •  Published: 30 September 2012

Abstract

 

In this research, we developed a model for investigating the spread of HIV infection, which can result in acquired immunodeficiency syndrome (AIDS), through vertical and horizontal transmissions and introduced the concept of identification program by considering identification rate in heterosexual population which was qualitatively and numerically analyzed. We obtained equilibrium points of the model at two states (infection-free and Endemic). Thereafter, we investigated the criteria for existence of the endemic equilibrium point of the model. We determined local and global dynamics of the steady states of the system using stability theory and computer simulation before concluding.

 

Key words: Vertical and horizontal transmissions, heterosexual community, asymptotic stability, epidemiological parameters.