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A fractional order human papillomavirus model with Caputo derivative

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Abstract

In this article, a fractional order Human papillomavirus infection model with the impact of vaccination is presented with Caputo sense. The basic properties of the model are investigated. Using the fixed point theorem, the existence and uniqueness of the solution for the proposed Caputo fractional order HPV model have been proved. Theoretical results are validated by solving the proposed model using the Adams-Bashforth-Moulton Predictor corrector scheme. The numerical result reveals that HPV infection can be reduced by implementing vaccination as a control strategy. Moreover, simulation results indicated that the qualitative nature of the solutions of the classical integer order and the fractional-order model are the same.

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Acknowledgements

The research work of the First author Mr. R. Praveen Kumar is suppoted by INSPIRE Fellowship (IF180053), Department of Science and Technology, Govt of India.

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  1. Praveen Kumar Rajan and Murugesan Kuppusamy equally contributed towards this work.

Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Tiruchirappalli, 620015, TamilNadu, India

    Praveen Kumar Rajan & Murugesan Kuppusamy

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  1. Praveen Kumar Rajan
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Contributions

Praveen Kumar Rajan: Conceptualization, Methodology, Software, Formal analysis, Writing- Original draft preparation, Writing-Reviewing and Editing. Murugesan Kuppusamy: Supervision, Writing-Original draft preparation, Methodology, Writing-Reviewing and Editing.

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Correspondence to Murugesan Kuppusamy.

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Rajan, P.K., Kuppusamy, M. A fractional order human papillomavirus model with Caputo derivative. J Anal (2023). https://doi.org/10.1007/s41478-023-00641-z

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