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

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

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 212, issue C, 234-248

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.

Keywords: Artificial neural networks; Hepatitis B virus system; Infection disease; Statistical analysis; Sequential quadratic algorithm scheme (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:212:y:2023:i:c:p:234-248

DOI: 10.1016/j.matcom.2023.04.034

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