A Caputo-Type Fractional-Order Model for the Transmission of Chlamydia Disease

Authors

  • Jignesh P. Chauhan Department of Mathematical Sciences, P. D. Patel Institute of Applied Sciences, Charotar University of Science and Technology (CHARUSAT), Changa, Anand, 388421, Gujarat, India https://orcid.org/0000-0003-1023-8357
  • Sagar R. Khirsariya Department of Mathematics, Marwadi University, Rajkot-Morbi Road, Rajkot, 360003, Gujarat, India
  • Minakshi Biswas Hathiwala Department of Mathematics, Marwadi University, Rajkot-Morbi Road, Rajkot, 360003, Gujarat, India

DOI:

https://doi.org/10.37256/cm.5220242435

Keywords:

Caputo fractional derivative, homotopy perturbation Laplace transform method, chlamydia model, stability analysis

Abstract

In this article, we study a mathematical model of the chlamydia infection caused by sexual contact. To analyze this model, we combine the homotopy perturbation Laplace transform technique with the fractional order formulation in the Caputo sense. This article illustrates the increased degree of freedom that fractional derivative models allow to investigate disease dynamics for a given data set and to highlight memory effects. The existence, singularity, and consistency of the problem are also examined in the research. The unique parameter estimation for each value of the noninteger order makes this study more useful.

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Published

2024-04-26

How to Cite

1.
Chauhan JP, Khirsariya SR, Biswas Hathiwala M. A Caputo-Type Fractional-Order Model for the Transmission of Chlamydia Disease. Contemp. Math. [Internet]. 2024 Apr. 26 [cited 2024 May 28];5(2):1329-54. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2435