Iterative method for the numerical solution of optimal control model for mosquito and insecticide

Authors

  • S. Adamu Department of Mathematics, Nigerian Army University Biu, Borno State, Nigeria https://orcid.org/0000-0003-1690-4269
  • O. O. Aduroja Department of Mathematics, University of Ilesa, Ilesa, Osun State, Nigeria
  • A. S. Onanaye Department of Mathematics, Redeemer’s University, Ede, Osun State, Nigeria
  • M. R. Odekunle Department of Mathematics, Modibbo Adama University Yola, Adamawa State, Nigeria

Keywords:

Malaria, mosquito, insecti, First Boubaker polynomials, optimal control problems, mathematical models

Abstract

A linear multistep method is transformed into an iterative method based on Patade and Bhalekar's technique for the numerical solution of the optimal control problem modeled for mosquito and insecticide management using forward-backward sweep methods via Pontryagin's principle. Stability and convergence analysis of the iterative method are carried out, and it is found to be stable, convergent, and of order four. Results obtained by the method clearly show that the population of mosquitoes can be minimized to a large extent using the new iterative method while reducing the harmful effects of the insecticide, subsequently reducing the spread of malaria.

Dimensions

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The optimal Mosquito population and Insecticide for case 2.

Published

2024-04-23

How to Cite

Iterative method for the numerical solution of optimal control model for mosquito and insecticide. (2024). Journal of the Nigerian Society of Physical Sciences, 6(2), 1965. https://doi.org/10.46481/jnsps.2024.1965

Issue

Volume 6, Issue 2, May 2024 (In Progress)

Section

Mathematics & Statistics
Copyright & Licensing

Copyright (c) 2024 S. Adamu, O. O. Aduroja, A. S. Onanaye, M. R. Odekunle

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Iterative method for the numerical solution of optimal control model for mosquito and insecticide. (2024). Journal of the Nigerian Society of Physical Sciences, 6(2), 1965. https://doi.org/10.46481/jnsps.2024.1965