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Fractional-order rat bite fever model: a mathematical investigation into the transmission dynamics

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Abstract

The fractional ordered mathematical model offers more insights compared to integer order models. In this work, we analyzed fractional order rat bite fever model. We employ the Adams–Bashforth–Moulton method in conjunction with fractional-order derivatives in the Caputo sense to study the model. The work demonstrates how fractional derivative models offer an increased degree of flexibility to investigate memory effects and illness dynamics for a particular data set. Further, an analysis of the aforementioned model including its existence, uniqueness, and stability is considered. The distinct parameter estimation for every value of the fractional order highlights the importance of this work.

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Acknowledgements

The authors are thankful to the anonymous reviewers for their insightful comments and suggestions, which greatly contributed to improving the quality of this manuscript.

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Author notes

  1. Sagar R. Khirsariya, Mahesh A. Yeolekar and Bijal M. Yeolekar have contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Marwadi University, Rajkot-Morbi Road, Rajkot, Gujarat, 360003, India

    Sagar R. Khirsariya

  2. Department of Mathematics, Vishwakarma Government Engineering College, Chandkheda, Ahmedabad, Gujarat, 382424, India

    Mahesh A. Yeolekar

  3. Department of Mathematics and Humanities, Nirma University, Sarkhej-Gandhinagar Highway, Ahmedabad, Gujarat, 382481, India

    Bijal M. Yeolekar

  4. Department of Mathematical Sciences, P. D. Patel Institute of Applied Sciences, Charotar University of Science and Technology (CHARUSAT), Changa, Anand, Gujarat, 388421, India

    Jigensh P. Chauhan

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  1. Sagar R. Khirsariya
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Correspondence to Jigensh P. Chauhan.

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Khirsariya, S.R., Yeolekar, M.A., Yeolekar, B.M. et al. Fractional-order rat bite fever model: a mathematical investigation into the transmission dynamics. J. Appl. Math. Comput. (2024). https://doi.org/10.1007/s12190-024-02116-1

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  • DOI: https://doi.org/10.1007/s12190-024-02116-1

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