Optimal Control Problem for Cholera Disease and Cost-Effectiveness Analysis
-
Published:2021-09-08
Issue:2
Volume:53
Page:200-2017
-
ISSN:2338-5510
-
Container-title:Journal of Mathematical and Fundamental Sciences
-
language:
-
Short-container-title:J. Math. Fund. Sci.
Author:
Romero-Leiton Jhoana Patricia,Ozair Muhammad,Hussaing Takasar
Abstract
Cholera is a disease that continues to be a threat to public health globally and is an indicator of inequity and lack of social development in countries. For this reason, strategies for its control need to be investigated. In this work, an optimal control problem related to cholera disease was formulated by introducing personal protection, drug treatment and water sanitation as control strategies. First, the existence and characterization of controls to minimize the performance index or cost function was proved by using classic control theory. Then, the theoretical results were validated with numerical experiments by using data reported in the literature. Finally, the effectiveness and efficiency of the proposed controls were determined through a cost-effectiveness analysis. The results showed that the use of the three controls simultaneously is the cheapest and most effective strategy to control the disease.
Publisher
The Institute for Research and Community Services (LPPM) ITB
Subject
Multidisciplinary,General Physics and Astronomy,General Chemistry,General Biochemistry, Genetics and Molecular Biology,General Earth and Planetary Sciences,General Agricultural and Biological Sciences,General Mathematics,General Medicine
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献