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Volume 16   Issue 1   Year 2021
An Investigation on Analytical Properties of Delayed Fractional Order HIV Model: A Case Study

Pitchaimani M., Saranya Devi A.

Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai,  India

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.

Key wordsfractional order system, HIV, Hopf bifurcation, stability, time delay

Table of Contents Original Article
Math. Biol. Bioinf.
doi: 10.17537/2021.16.57
published in English

Abstract (eng.)
Abstract (rus.)
Full text (eng., pdf)


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