Fractional model of HIV transmission with awareness effect

Fatmawati,, Muhammad Altaf Khan and Hafidz Putra Odinsyah

Chaos, Solitons & Fractals, 2020, vol. 138, issue C

Abstract: In this work, we study the HIV dynamics with fractional operator of Caputo type. We use the real data of HIV infection cases of Indonesia from 2006 to 2018 and parameterized the HIV model and estimate the basic reproduction number is R0≈2.2763. First, we give brief mathematical formulation of HIV/AIDS population in integer order derivative. Then, we present some background results related to the model. The integer model is then generalized by using the Caputo derivative and present the mathematical results that associated to the model. We use novel technique for the solution of fractional mathematical model of HIV using Newton polynomial approach and obtain the numerical solution graphically. The data fitting versus model for fractional order p is shown which shows that the model give better result than the integer order. Some graphical for the important parameter were shown. The model is shown locally asymptotically when R0 less or greater than 1.

Keywords: Caputo derivative; HIV model; HIV cases; Parameter estimations (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920303660

DOI: 10.1016/j.chaos.2020.109967

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