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Optimal control, signal flow graph, and system electronic circuit realization for nonlinear Anopheles mosquito model

Author

Listed:
  • K. A. Gepreel

    (Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif 26571, Saudi Arabia†Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt)

  • M. Higazy

    (Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif 26571, Saudi Arabia‡Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf, Egypt)

  • A. M. S. Mahdy

    (Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif 26571, Saudi Arabia†Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt)

Abstract

We study the estimated investigative answers for one of the popular models in biomathematics, in particular, the nonlinear Anopheles mosquito model numerically. The optimal control (OC) for nonlinear Anopheles mosquito model is examined. Important and adequate conditions to ensure the presence and singularity of the arrangements of the control issue are assumed. Two control factors are suggested to limit the normal measure of eggs laid per treated female every day. The signal stream chart and Simulink∖Matlab of this model are constructed. The framework is designed utilizing the MULTISIM simulation program. We utilize the homotopy disruption strategy (HPM) to examine the logical surmised answer for the nonlinear control issue. We utilize the mathematical programming bundles, for example, Maple, to emphasize while ascertaining the rough arrangement. Results are displayed graphically and introduced to delineate the conduct of obtained inexact arrangements.

Suggested Citation

  • K. A. Gepreel & M. Higazy & A. M. S. Mahdy, 2020. "Optimal control, signal flow graph, and system electronic circuit realization for nonlinear Anopheles mosquito model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-18, September.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:09:n:s0129183120501302
    DOI: 10.1142/S0129183120501302
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    Cited by:

    1. Mahdy, A.M.S. & Mohamed, M.S. & Gepreel, K.A. & AL-Amiri, A. & Higazy, M., 2020. "Dynamical Characteristics and Signal Flow Graph of Nonlinear Fractional Smoking Mathematical Model," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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