The Preventive Control of a Dengue Disease Using Pontryagin Minimum Principal

International Conference on Mathematics: Education, Theory and Application

数学;教育

Sari, Eminugroho Ratna^1 ; Insani, Nur^1 ; Lestari, Dwi^1

Mathematics Education Department, Mathematics and Natural Sciences Faculty, Yogyakarta State University, Indonesia^1

关键词: Basic reproduction number;    Behaviour analysis;    Control effort;    Minimal cost;    Optimal controls;    Preventive control;    Preventive strategies;    Vector models;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/855/1/012045/pdf
DOI  :  10.1088/1742-6596/855/1/012045

学科分类：发展心理学和教育心理学

来源: IOP

【 摘 要 】

Behaviour analysis for host-vector model without control of dengue disease is based on the value of basic reproduction number obtained using next generation matrices. Furthermore, the model is further developed involving a preventive control to minimize the contact between host and vector. The purpose is to obtain an optimal preventive strategy with minimal cost. The Pontryagin Minimum Principal is used to find the optimal control analytically. The derived optimality model is then solved numerically to investigate control effort to reduce infected class.