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Cogent Mathematics & Statistics Volume 5, 2018 - Issue 1
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Research Article

Mathematical analysis of HIV/AIDS infection model with Caputo-Fabrizio fractional derivative

Samia BushnaqDepartment of Basic Sciences, Princess Sumaya University for Technology, Amman11941, Jordan.View further author information
,
Sajjad Ali KhanDepartment of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan.View further author information
,
Kamal ShahDepartment of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan.Correspondence[email protected]
View further author information
&
Gul ZamanDepartment of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan.View further author information
|
Fawang LiuQueensland University of Technology, Australia.View further author information
(Reviewing Editor)
Article: 1432521 | Received 16 Oct 2017, Accepted 21 Jan 2018, Published online: 19 Feb 2018

References

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  • Cai, L., Li, X., Ghosh, M., & Guo, B. (2009). Stability analysis of an HIV/AIDS epidemic model with treatment. Journal of Computational and Applied Mathematics, 229, 313–323.
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  • El-Saka, H. A. A. (2014). The fractional-order SIS epidemic model with variable population size. Journal of the Egyptian Mathematical Society, 22, 50–54.
  • Losada, J., & Nieto, J. J. (2015). Properties of a new fractional derivative without singular kernel. Progress in Fractional Differentiation and Applications, 1, 87–92.
  • Toledo-Hernandez, R., Rico-Ramirez, V., Iglesias-Silva, G. A., & Diwekar, U. M. (2014). A fractional calculus approach to the dynamic optimization of biological reactive systems. Part I: Fractional models for biological reactions. Chemecal Engineering Science, 117, 217–228.
  • Wang, L., & Li, M. Y. (2006). Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T-cells. Mathematical Biosciences, 200, 44–57.
  • Wang, Z., Yang, D., Ma, T., & Sun, N. (2014). Stability analysis for nonlinear fractional-order systems based on comparison principle. Nonlinear Dynamics, 75(1--2), 387–402.

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