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Numerical Investigations Of A Fractional Nonlinear Dengue Model Using Artificial Neural Networks

Author

Listed:
  • ZULQURNAIN SABIR

    (Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan)

  • MUHAMMAD ASIF ZAHOOR RAJA

    (��Future Technology Research Center, National Yunlin University of Science and Technology, 123 University Road Section 3, Douliou, Yunlin 64002, Taiwan, R. O. C.)

  • SHUMAILA JAVEED

    (��Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Park Road, Chak Shahzad Islamabad 45550, Pakistan§Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC 99138, Nicosia/Mersin 10, Turkey)

  • YOLANDA GUERRERO-SÃ NCHEZ

    (�Department of Anatomy and Psychobiology, University of Murcia, Murcia 30100, Spain)

Abstract

The aim of this study is to perform the numerical investigations of a fractional nonlinear dengue model using artificial neuron networks (ANNs) along with the Levenberg–Marquardt backpropagation (LMB), i.e. ANNs. The fractional nonlinear dengue model is divided into five classes. The stochastic-based ANNs-LMB scheme is pragmatic on three variants of authentication, training and testing. The data magnitudes for three different variations based on the fractional nonlinear dengue model are selected as 80% for training, 10% for both testing and validation. The numerical procedures of the fractional nonlinear dengue model will be performed through ANNs-LMB and comparative investigations using the reference values that are calculated on the basis of Adams–Bashforth–Moulton scheme. The solution of the fractional nonlinear dengue model is obtained through the ANNs-LMB to reduce the mean square error (MSE). To authenticate the capability and efficiency of the proposed ANNs-LMB, the obtained numerical measures of correlation, MSE results, regression and error histograms (EHs) are provided.

Suggested Citation

  • Zulqurnain Sabir & Muhammad Asif Zahoor Raja & Shumaila Javeed & Yolanda Guerrero-Sã Nchez, 2022. "Numerical Investigations Of A Fractional Nonlinear Dengue Model Using Artificial Neural Networks," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-12, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22402411
    DOI: 10.1142/S0218348X22402411
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