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Stability of a fractional HIV/AIDS model

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  • Silva, Cristiana J.
  • Torres, Delfim F.M.

Abstract

We propose a fractional order model for HIV/AIDS transmission. Local and uniform stability of the fractional order model is studied. The theoretical results are illustrated through numerical simulations.

Suggested Citation

  • Silva, Cristiana J. & Torres, Delfim F.M., 2019. "Stability of a fractional HIV/AIDS model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 164(C), pages 180-190.
    • Handle: RePEc:eee:matcom:v:164:y:2019:i:c:p:180-190
    DOI: 10.1016/j.matcom.2019.03.016
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    References listed on IDEAS

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    1. Ahmed, E. & Elgazzar, A.S., 2007. "On fractional order differential equations model for nonlocal epidemics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 607-614.
    2. Rosa, Silvério & Torres, Delfim F.M., 2018. "Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 142-149.
    3. Yiheng Wei & Hamid Reza Karimi & Jinwen Pan & Qing Gao & Yong Wang, 2014. "Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, March.
    4. Yiheng Wei & Hamid Reza Karimi & Shu Liang & Qing Gao & Yong Wang, 2014. "General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, February.
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    Cited by:

    1. Asamoah, Joshua Kiddy K. & Okyere, Eric & Yankson, Ernest & Opoku, Alex Akwasi & Adom-Konadu, Agnes & Acheampong, Edward & Arthur, Yarhands Dissou, 2022. "Non-fractional and fractional mathematical analysis and simulations for Q fever," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    2. Fatmawati, & Khan, Muhammad Altaf & Odinsyah, Hafidz Putra, 2020. "Fractional model of HIV transmission with awareness effect," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    3. Aghayan, Zahra Sadat & Alfi, Alireza & Mousavi, Yashar & Kucukdemiral, Ibrahim Beklan & Fekih, Afef, 2022. "Guaranteed cost robust output feedback control design for fractional-order uncertain neutral delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    4. Arshad, Sadia & Defterli, Ozlem & Baleanu, Dumitru, 2020. "A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to a HIV model," Applied Mathematics and Computation, Elsevier, vol. 374(C).
    5. Goyal, Manish & Baskonus, Haci Mehmet & Prakash, Amit, 2020. "Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    6. Erman, Sertaç & Demir, Ali, 2020. "On the construction and stability analysis of the solution of linear fractional differential equation," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    7. Boukhouima, Adnane & Hattaf, Khalid & Lotfi, El Mehdi & Mahrouf, Marouane & Torres, Delfim F.M. & Yousfi, Noura, 2020. "Lyapunov functions for fractional-order systems in biology: Methods and applications," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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