scholarly journals Spread of COVID-19 in morocco discrete mathematical modeling: optimal control strategies and cost-effectiveness analysis

2020 ◽  
Keyword(s):  
Mathematical Modeling ◽  
Optimal Control ◽  
Cost Effectiveness ◽  
Control Strategies ◽  
Cost Effectiveness Analysis ◽  
Effectiveness Analysis

scholarly journals Optimal Control Problem for Cholera Disease and Cost-Effectiveness Analysis

2021 ◽  
Vol 53 (2) ◽  
pp. 200-2017
Author(s):  
Jhoana Patricia Romero-Leiton ◽  
Muhammad Ozair ◽  
Takasar Hussaing
Keyword(s):  
Optimal Control ◽  
Cost Effectiveness ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Control Strategies ◽  
Cost Effectiveness Analysis ◽  
Effectiveness Analysis ◽  
Using Data ◽  
Theoretical Results

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.

scholarly journals Optimal Control Analysis of an Age-Structured Malaria Model Incorporating Children under Five Years and Pregnant Women

2019 ◽  
pp. 1-23
Author(s):  
George Theodore Azu-Tungmah ◽  
Francis T. Oduro ◽  
Gabriel A. Okyere
Keyword(s):  
Optimal Control ◽  
Cost Effectiveness ◽  
Pregnant Women ◽  
Control Strategies ◽  
Cost Effectiveness Analysis ◽  
Under Five ◽  
Effectiveness Analysis ◽  
Age Structured ◽  
The Cost ◽  
Malaria Model

In this article, we apply the optimal control theory to a new age-structured malaria model with three infectious compartments for people under five years, over five years and pregnant women. The model is formulated for malaria endemic areas in the world and the following malaria control strategies ITN, IRS, Chemoprophylaxis and Improved Clinical Treatment were examined and analysed on the mode. The Cost-effectiveness Analysis points out that more attention should be given Insecticide -Treated bed nets (ITNs) in order to eliminate the malaria disease globally because the female Anopheles mosquitoes need human blood to lay their eggs. The expression for the effective reproduction number  has been derived by using the next-generation method. The impact of the controls on the was studied and it came out that all the four controls have a positive impact such that the ITNs can reduce to zero as the value of ITNs approaches one. Pontryagin’s Maximum Principle was applied to analyse the optimal control model theoretically and the optimality system was solved numerically through an iterative scheme. The optimal plots (Figs. 4-8) reveal that best control strategies for malaria elimination is the combination of ITN, Chemoprophylaxis and Improved Clinical Treatment. However, the Cost-effectiveness Analysis points out that ITN is economically best solution for fighting malaria in poor malaria endemic areas.

scholarly journals Cost-Effectiveness Analysis of Optimal Control Measures for Tuberculosis

2014 ◽  
Vol 76 (10) ◽  
pp. 2627-2645 ◽  
Author(s):  
Paula Rodrigues ◽  
Cristiana J. Silva ◽  
Delfim F. M. Torres
Keyword(s):  
Optimal Control ◽  
Cost Effectiveness ◽  
Cost Effectiveness Analysis ◽  
Control Measures ◽  
Effectiveness Analysis
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