| Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
Fractional Dynamics in Natural Phenomena
|
|
|---|---|---|
| Article Number | 48 | |
| Number of page(s) | 13 | |
| DOI | https://doi.org/10.1051/mmnp/2021032 | |
| Published online | 09 August 2021 | |
A computational study of transmission dynamics for dengue fever with a fractional approach
1
Department of Mathematics, National Institute of Technology,
Jamshedpur
831014,
Jharkhand, India.
2
Department of Mathematics, JECRC University,
Jaipur
303905,
Rajasthan, India.
3
Department of Mathematics, University of Rajasthan,
Jaipur
302004,
Rajasthan, India.
4
Nonlinear Dynamics Research Center (NDRC), Ajman University,
Ajman, United Arab Emirates.
* Corresponding author: devendra.maths@gmail.com
Received:
28
December
2020
Accepted:
28
May
2021
Fractional derivatives are considered an influential weapon in terms of analysis of infectious diseases because of their nonlocal nature. The inclusion of the memory effect is the prime advantage of fractional-order derivatives. The main objective of this article is to investigate the transmission dynamics of dengue fever, we consider generalized Caputo-type fractional derivative (GCFD) (CD0β,σ) for alternate representation of dengue fever disease model. We discuss the existence and uniqueness of the solution of model by using fixed point theory. Further, an adaptive predictor-corrector technique is utilized to evaluate the considered model numerically.
Mathematics Subject Classification: 26A33 / 34A08 / 92D30
Key words: Fractional derivative / generalized Caputo derivative / dengue fever model / existence and uniqueness / adaptive P-C technique
© The authors. Published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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