Optimal control strategies and cost-effectiveness analysis of a malaria model

Okosun, Kazeem Oare; Ouifki, Rachid; Marcus, Nizar

doi:10.1016/j.biosystems.2012.09.008

Cited by 184 publications

(147 citation statements)

References 41 publications

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“…Here, we assume that there is no linear relationship between the coverage of these interventions and their corresponding costs, hence we choose a quadratic cost on the controls in keeping with what is in other literature on cost of control of epidemics [8,[19][20][21].…”

Section: Analysis Of Optimal Controlmentioning

confidence: 99%

“…Cost-effectiveness analysis is undertaken using ICER in order to assess the extent to which the intervention strategies are beneficial and cost effective. The aim is to maximizing the level of benefits (health effects) relative to the level of resources available as shown by Okosun et al [8].…”

Section: Sensitivity Analysismentioning

confidence: 99%

“…Ridrogues et al [7] conducted cost effective analysis using ICER but for TB. Okosun et al [8] conducted cost effective analysis using ICER for three malaria intervention strategies and not for different transmission settings. He further did not consider the cost effective intervention strategies for the at risk group i.e., the pregnant and the under five children.…”

Section: Introductionmentioning

confidence: 99%

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Cost Effectiveness Analysis of Optimal Malaria Control Strategies in Kenya

2016

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Malaria remains a leading cause of mortality and morbidity among the children under five and pregnant women in sub-Saharan Africa, but it is preventable and controllable provided current recommended interventions are properly implemented. Better utilization of malaria intervention strategies will ensure the gain for the value for money and producing health improvements in the most cost effective way. The purpose of the value for money drive is to develop a better understanding (and better articulation) of costs and results so that more informed, evidence-based choices could be made. Cost effectiveness analysis is carried out to inform decision makers on how to determine where to allocate resources for malaria interventions. This study carries out cost effective analysis of one or all possible combinations of the optimal malaria control strategies (Insecticide Treated Bednets-ITNs, Treatment, Indoor Residual Spray-IRS and Intermittent Preventive Treatment for Pregnant Women-IPTp) for the four different transmission settings in order to assess the extent to which the intervention strategies are beneficial and cost effective. For the four different transmission settings in Kenya the optimal solution for the 15 strategies and their associated effectiveness are computed. Cost-effective analysis using Incremental Cost Effectiveness Ratio (ICER) was done after ranking the strategies in order of the increasing effectiveness (total infections averted). The findings shows that for the endemic regions the combination of ITNs, IRS, and IPTp was the most cost-effective of all the combined strategies developed in this study for malaria disease control and prevention; for the epidemic prone areas is the combination of the treatment and IRS; for seasonal areas is the use of ITNs plus treatment; and for the low risk areas is the use of treatment only. Malaria transmission in Kenya can be minimized through tailor-made intervention strategies for malaria control which produces health improvements in the most cost effective way for different epidemiological zones. This offers the good value for money for the public health programs and can guide in the allocation of malaria control resources for the post-2015 malaria eradication strategies and the achievement of the Sustainable Development Goals.

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Section: Analysis Of Optimal Controlmentioning

confidence: 99%

Section: Sensitivity Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Cost Effectiveness Analysis of Optimal Malaria Control Strategies in Kenya

2016

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“…Doing this, the differences between the costs and health outcomes of these interventions are compared (see [21]). Based on the model simulation results, these strategies are ranked in increasing order of effectiveness.…”

Section: Cost Effectiveness Analysismentioning

confidence: 99%

“…It was also used in a malaria model with genetically modified mosquitoes but without human population [17]. For other applications of optimal control to modelling of infectious diseases [18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Global stability analysis and control of leptospirosis

2016

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Abstract:The aim of this paper is to investigate the effectiveness and cost-effectiveness of leptospirosis control measures, preventive vaccination and treatment of infective humans that may curtail the disease transmission. For this, a mathematical model for the transmission dynamics of the disease that includes preventive, vaccination, treatment of infective vectors and humans control measures are considered. Firstly, the constant control parameters' case is analyzed, also calculate the basic reproduction number and investigate the existence and stability of equilibria. The threshold condition for disease-free equilibrium is found to be locally asymptotically stable and can only be achieved when the basic reproduction number is less than unity. The model is found to exhibit the existence of multiple endemic equilibria. Furthermore, to assess the relative impact of each of the constant control parameters measures the sensitivity index of the basic reproductive number to the model's parameters are calculated. In the time-dependent constant control case, Pontryagin's Maximum Principle is used to derive necessary conditions for the optimal control of the disease. The cost-effectiveness analysis is carried out by first of all using ANOVA to check on the mean costs. Then followed by Incremental Cost-Effectiveness Ratio (ICER) for all the possible combinations of the disease control measures. Our results revealed that the most cost-effective strategy for the control of leptospirosis is the combination of the vaccination and treatment of infective livestocks. Though the combinations of all control measures is also effective, however, this strategy is not cost-effective and so too costly. Therefore, more efforts from policy makers on vaccination and treatment of infectives livestocks regime would go a long way to combat the disease epidemic.

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Dynamic Transmission Economic Evaluation of Infectious Disease Interventions in Low‐ and Middle‐Income Countries: A Systematic Literature Review

et al. 2016

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Economic evaluation using dynamic transmission models is important for capturing the indirect effects of infectious disease interventions. We examine the use of these methods in low‐ and middle‐income countries, where infectious diseases constitute a major burden. This review is comprised of two parts: (1) a summary of dynamic transmission economic evaluations across all disease areas published between 2011 and mid‐2014 and (2) an in‐depth review of mosquito‐borne disease studies focusing on health economic methods and reporting. Studies were identified through a systematic search of the MEDLINE database and supplemented by reference list screening. Fifty‐seven studies were eligible for inclusion in the all‐disease review. The most common subject disease was HIV/AIDS, followed by malaria. A diverse range of modelling methods, outcome metrics and sensitivity analyses were used, indicating little standardisation. Seventeen studies were included in the mosquito‐borne disease review. With notable exceptions, most studies did not employ economic evaluation methods beyond calculating a cost‐effectiveness ratio or net benefit. Many did not adhere to health care economic evaluations reporting guidelines, particularly with respect to full model reporting and uncertainty analysis. We present a summary of the state‐of‐the‐art and offer recommendations for improved implementation and reporting of health economic methods in this crossover discipline. © 2016 The Authors. Health Economics published by John Wiley & Sons Ltd.

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Optimal control strategies and cost-effectiveness analysis of a malaria model

Cited by 184 publications

References 41 publications

Cost Effectiveness Analysis of Optimal Malaria Control Strategies in Kenya

Cost Effectiveness Analysis of Optimal Malaria Control Strategies in Kenya

Global stability analysis and control of leptospirosis

Dynamic Transmission Economic Evaluation of Infectious Disease Interventions in Low‐ and Middle‐Income Countries: A Systematic Literature Review

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