Mathematical Analysis of Sensitive Parameters on the Dynamical Spread of HIV
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Date
2016-05
Journal Title
Journal ISSN
Volume Title
Publisher
International Journal of Innovative Research in Science, Engineering and Technology
Abstract
Sensitivity analysis was performed on a mathematical model of Human Immunodefiency Virus (HIV) to
determine the gauge and importance of each parameter to basic reproduction number in the dynamical spread of the
disease.
The threshold basic reproduction number , 0 R which is the average number of secondary infection generated by
infected individuals in his or her infectious period was calculated using next generation matrix method, which shows
that, the disease dies out when R0 1, and the disease will persist and spread when 1 0 R .The relative sensitivity
analysis was computed for all the parameters in the basic reproduction number, which shows the influence of each
parameter in the dynamical spread of the disease. Numerical sensitivity reveals that effective contact rate and
progressor rate are the most sensitive parameters in the basic reproduction number. This analysis will help the medical
practitioners and policy health makers to know the best control intervention strategies to be adopted in order to reduce
dynamical spread of Human Immunodefiency Virus (HIV) in the community
Description
Staff Publication
Keywords
HIV,, Critical Points,, Basic Reproduction Number,, Local Stability,, Sensitivity;