Fractional model of HIV transmission with awareness effect

Fatmawati, Muhammad Altaf Khan, Hafidz Putra Odinsyah

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)


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.

Original languageEnglish
Article number109967
JournalChaos, Solitons and Fractals
Publication statusPublished - Sept 2020


  • Caputo derivative
  • HIV cases
  • HIV model
  • Parameter estimations


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