Open Access
ARTICLE
A Novel Fractional Dengue Transmission Model in the Presence of Wolbachia Using Stochastic Based Artificial Neural Network
Zeshan Faiz1, Iftikhar Ahmed1, Dumitru Baleanu2,3,4, Shumaila Javeed1,5,6,*
1 Department of Mathematics, COMSATS University Islamabad, Islamabad, 45550, Pakistan
2 Department of Mathematics, Cankaya University, Ankara, 06790, Turkey
3 Institute of Space Sciences, Magurele-Bucharest, 077125, Romania
4 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan
5 Department of Computer Science and Mathematics, Lebanese American University, Beirut, 135053, Lebanon
6 Department of Mathematics, Mathematics Research Center, Near East University, Nicosia/Mersin, 99138, Turkey
* Corresponding Author: Shumaila Javeed. Email:
Computer Modeling in Engineering & Sciences 2024, 139(2), 1217-1238. https://doi.org/10.32604/cmes.2023.029879
Received 12 March 2023; Accepted 02 August 2023; Issue published 29 January 2024
Abstract
The purpose of this research work is to investigate the numerical solutions of the fractional dengue transmission
model (FDTM) in the presence of Wolbachia using the stochastic-based Levenberg-Marquardt neural network
(LM-NN) technique. The fractional dengue transmission model (FDTM) consists of 12 compartments. The human
population is divided into four compartments; susceptible humans (
Sh), exposed humans (
Eh), infectious humans
(
Ih), and recovered humans (
Rh). Wolbachia-infected and Wolbachia-uninfected mosquito population is also
divided into four compartments: aquatic (eggs, larvae, pupae), susceptible, exposed, and infectious. We investigated
three different cases of vertical transmission probability (
η), namely when Wolbachia-free mosquitoes persist only
(
η = 0.6), when both types of mosquitoes persist (
η = 0.8), and when Wolbachia-carrying mosquitoes persist only
(
η = 1). The objective of this study is to investigate the effectiveness ofWolbachia in reducing dengue and presenting
the numerical results by using the stochastic structure LM-NN approach with 10 hidden layers of neurons for three
different cases of the fractional order derivatives (
α = 0.4, 0.6, 0.8). LM-NN approach includes a training, validation,
and testing procedure to minimize the mean square error (MSE) values using the reference dataset (obtained by
solving the model using the Adams-Bashforth-Moulton method (ABM). The distribution of data is 80% data for
training, 10% for validation, and, 10% for testing purpose) results. A comprehensive investigation is accessible to
observe the competence, precision, capacity, and efficiency of the suggested LM-NN approach by executing the
MSE, state transitions findings, and regression analysis. The effectiveness of the LM-NN approach for solving the
FDTM is demonstrated by the overlap of the findings with trustworthy measures, which achieves a precision of up
to 10
−4.
Keywords
Cite This Article
APA Style
Faiz, Z., Ahmed, I., Baleanu, D., Javeed, S. (2024). A novel fractional dengue transmission model in the presence of wolbachia using stochastic based artificial neural network. Computer Modeling in Engineering & Sciences, 139(2), 1217-1238. https://doi.org/10.32604/cmes.2023.029879
Vancouver Style
Faiz Z, Ahmed I, Baleanu D, Javeed S. A novel fractional dengue transmission model in the presence of wolbachia using stochastic based artificial neural network. Comput Model Eng Sci. 2024;139(2):1217-1238 https://doi.org/10.32604/cmes.2023.029879
IEEE Style
Z. Faiz, I. Ahmed, D. Baleanu, and S. Javeed "A Novel Fractional Dengue Transmission Model in the Presence of Wolbachia Using Stochastic Based Artificial Neural Network," Comput. Model. Eng. Sci., vol. 139, no. 2, pp. 1217-1238. 2024. https://doi.org/10.32604/cmes.2023.029879