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Heuristic computing with sequential quadratic programming for solving a nonlinear hepatitis B virus model

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Listed:
  • Umar, Muhammad
  • Sabir, Zulqurnain
  • Raja, Muhammad Asif Zahoor
  • Baskonus, Haci Mehmet
  • Ali, Mohamed R.
  • Shah, Nehad Ali

Abstract

This current study presents a nonlinear system of the hepatitis B virus infection by using the strength of artificial neural network (ANN) together with the competences of global and local search efficiencies of genetic algorithm (GA) and sequential quadratic programming scheme (SQPS), i.e., ANN-GA-SQPS. An error function is designed to use the mathematical form of the hepatitis B virus differential model and its initial conditions. The optimization of the error function is performed by using the hybridization efficiency of the GA-SQPS for the hepatitis B virus infection disease model. For the competence of ANN-GA-SQPS, the matching of obtained and the Adams numerical solutions has been observed. The absolute error is found in good measures for solving a nonlinear hepatitis B virus infection disease model. Moreover, statistical measures using different indices for 50 independent executions and 30 variables have been performed to check constancy, reliability, and effectiveness of the ANN-GA-SQPS.

Suggested Citation

  • Umar, Muhammad & Sabir, Zulqurnain & Raja, Muhammad Asif Zahoor & Baskonus, Haci Mehmet & Ali, Mohamed R. & Shah, Nehad Ali, 2023. "Heuristic computing with sequential quadratic programming for solving a nonlinear hepatitis B virus model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 234-248.
    • Handle: RePEc:eee:matcom:v:212:y:2023:i:c:p:234-248
    DOI: 10.1016/j.matcom.2023.04.034
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    References listed on IDEAS

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    1. Fernando S. Vidal Causanilles & Haci Mehmet Baskonus & Juan Luis García Guirao & Germán Rodríguez Bermúdez, 2022. "Some Important Points of the Josephson Effect via Two Superconductors in Complex Bases," Mathematics, MDPI, vol. 10(15), pages 1-13, July.
    2. Zulqurnain Sabir & Muhammad Asif Zahoor Raja & Dumitru Baleanu, 2021. "Fractional Mayer Neuro-Swarm Heuristic Solver For Multi-Fractional Order Doubly Singular Model Based On Lane–Emden Equation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-15, August.
    3. T. Sajid & S. Tanveer & Z. Sabir & J. L. G. Guirao, 2020. "Impact of Activation Energy and Temperature-Dependent Heat Source/Sink on Maxwell–Sutterby Fluid," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-15, August.
    4. Sabir, Zulqurnain & Saoud, Sahar & Raja, Muhammad Asif Zahoor & Wahab, Hafiz Abdul & Arbi, Adnène, 2020. "Heuristic computing technique for numerical solutions of nonlinear fourth order Emden–Fowler equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 534-548.
    5. Gao, Wei & Baskonus, Haci Mehmet, 2022. "Deeper investigation of modified epidemiological computer virus model containing the Caputo operator," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    6. Muhammad Umar & Rizwan Akhtar & Zulqurnain Sabir & Hafiz Abdul Wahab & Zhu Zhiyu & Ali Imran & Muhammad Shoaib & Muhammad Asif Zahoor Raja, 2019. "Numerical Treatment for the Three-Dimensional Eyring-Powell Fluid Flow over a Stretching Sheet with Velocity Slip and Activation Energy," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-12, May.
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