Author:
Pitchaimani M.,Saranya Devi A.
Abstract
In this manuscript, we design a fractional order delay differential equation model for HIV transmission with the implementation of three distinct therapies for three different infectious stages. We investigate the positivity of solutions, analyze the stability properties, followed by Hopf bifurcation analysis. To probe the parameters that expedite the spread of infection, uncertainty and sensitivity analysis were performed. The numerical review was carried out to substantiate our theoretical results. Our proposed model parameters have been calibrated to fit yearly data from Afghanistan, Australia, France, Italy, Netherlands and New Zealand.
Publisher
Institute of Mathematical Problems of Biology of RAS (IMPB RAS)
Subject
Applied Mathematics,Biomedical Engineering
Cited by
2 articles.
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