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Local and Global Stability of Fractional Order HIV/AIDS Dynamics Model

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Mathematics and Computing (ICMC 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 834))

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Abstract

In this article, we discussed the dynamical behaviour of a fractional order HIV/AIDS virus dynamics model which takes account the cure of infected cells and loss of viral particles due to the fusion into uninfected cells. The local and global stability of the model is studied for disease-free equilibrium point with the help of next generation matrix method. Moreover, the numerical solutions for some particular cases are provided to verify the analytical results.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Silchar, Silchar, 788010, Assam, India

    Praveen Kumar Gupta

Authors
  1. Praveen Kumar Gupta
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Correspondence to Praveen Kumar Gupta .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology BHU, Varanasi, Uttar Pradesh, India

    Debdas Ghosh

  2. Haldia Institute of Technology, Haldia, India

    Debasis Giri

  3. University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  4. Istanbul Commerce University, Istanbul, Turkey

    Ekrem Savas

  5. Kyushu University, Fukuoka, Japan

    Kouichi Sakurai

  6. Indian Institute of Technology (BHU), Varanasi, India

    L. P. Singh

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Gupta, P.K. (2018). Local and Global Stability of Fractional Order HIV/AIDS Dynamics Model. In: Ghosh, D., Giri, D., Mohapatra, R., Savas, E., Sakurai, K., Singh, L. (eds) Mathematics and Computing. ICMC 2018. Communications in Computer and Information Science, vol 834. Springer, Singapore. https://doi.org/10.1007/978-981-13-0023-3_14

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  • DOI: https://doi.org/10.1007/978-981-13-0023-3_14

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0022-6

  • Online ISBN: 978-981-13-0023-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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