Analysis of co-infection of human immunodeficiency virus with human papillomavirus.
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Date
2014
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Abstract
We formulate a deterministic mathematical model for the co-infection of HPV with HIV without
treatment. Mathematical techniques were used to analyze the stability of the models in terms of basic
reproduction numbers for disease-free equilibrium point and fixed point theory used for analysis of the
endemic equilibrium point. The model incorporating HIV and HPV co-infection sought to investigate
the impact of HIV infection in the natural history of HPV infection, and the impact of HPV infection
in the natural history of HIV infection, over a period of time. Numerical simulations were carried out
to illustrate the trends of progression of HIV and HPV in the case of co-infection. The results from
our study showed that when both HIV and HPV infected individuals are active in the system then
co-infection grows faster compared to one infection which is active in the system. Our study also
showed that when we started with HPV infection in the community and introduces HIV infection
after sometime has more impact in the growth of co-infection population compared to start with HIV
infection and introduces HPV infection after sometime in the community.
Description
Thesis (M.Sc.)-University of KwaZulu-Natal, Pietermaritzburg, 2014.
Keywords
HIV infections--Mathematical models., Papillomaviruses., Theses--Mathematics.