Open AccessOptimal Control Problem for Cholera Disease and Cost-Effectiveness Analysis
Author(s) -
Jhoana P. Romero-Leitón,
Muhammad Ozair,
Takasar Hussaing
Publication year - 2021
Publication title -
journal of mathematical and fundamental sciences/journal of mathematical and fundamental siences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.216
H-Index - 12
eISSN - 2337-5760
pISSN - 2338-5510
DOI - 10.5614/j.math.fund.sci.2021.53.2.3
Subject(s) - sanitation , control (management) , cholera , optimal control , disease , mathematical optimization , public health , econometrics , computer science , disease control , risk analysis (engineering) , environmental health , environmental economics , mathematics , operations research , medicine , economics , artificial intelligence , nursing , pathology , virology
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.