Optimal control for Malaria disease through vaccination

4th International Conference on Operational Research

Munzir, Said^1 ; Nasir, Muhammad^2 ; Ramli, Marwan^1

Department of Mathematics, Syiah Kuala University, Banda Aceh

23111, Indonesia^1

Master's Program of Mathematics, Syiah Kuala University, Banda Aceh

23111, Indonesia^2

关键词: Analytical approach;    Analytical method;    Anopheles mosquitoes;    Matlab- software;    Optimal control problem;    Optimal control strategy;    Optimal solutions;    Pontryagin minimum principle;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/300/1/012045/pdf
DOI  :  10.1088/1757-899X/300/1/012045

来源: IOP

【 摘 要 】

Malaria is a disease caused by an amoeba (single-celled animal) type of plasmodium where anopheles mosquito serves as the carrier. This study examines the optimal control problem of malaria disease spread based on Aron and May (1982) SIR type models and seeks the optimal solution by minimizing the prevention of the spreading of malaria by vaccine. The aim is to investigate optimal control strategies on preventing the spread of malaria by vaccination. The problem in this research is solved using analytical approach. The analytical method uses the Pontryagin Minimum Principle with the symbolic help of MATLAB software to obtain optimal control result and to analyse the spread of malaria with vaccination control.