Iterative Method for the Numerical Solution of Optimal Control Model for Mosquito and Insecticide
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Date
2024-04-09
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published by Nigerian Society of Physical Sciences
Abstract
A linear multistep method is transformed into an iterative method based on the Patade and Bhalekar technique for the numerical solution of an
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, which subsequently reduces the spread of malaria.
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