2016
DOI: 10.3390/math4010014
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Cost Effectiveness Analysis of Optimal Malaria Control Strategies in Kenya

Abstract: 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 cost… Show more

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Cited by 16 publications
(14 citation statements)
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“…The basic reproduction number of this model is determined by applying the next generation operator, a method derived from the theory of the center manifold and developed by P.van den Driessche and J. Watmough (2002) [25,27,28]. P. van den Driessche's method for computing the basic reproduction number is based on the rate of change in composition of the infectious classes E, I and C. For this reason, we rewrite Equations (2) to (4) in the form of a vector equation:…”
Section: The Basic Reproduction Numbermentioning
confidence: 99%
See 1 more Smart Citation
“…The basic reproduction number of this model is determined by applying the next generation operator, a method derived from the theory of the center manifold and developed by P.van den Driessche and J. Watmough (2002) [25,27,28]. P. van den Driessche's method for computing the basic reproduction number is based on the rate of change in composition of the infectious classes E, I and C. For this reason, we rewrite Equations (2) to (4) in the form of a vector equation:…”
Section: The Basic Reproduction Numbermentioning
confidence: 99%
“…According to the definition provided by Chitnis et al [38] and reading [28], the normalized forward sensitivity index of the basic reproduction number R 0 to the parameter, say P, of the epidemic model is denoted by Υ R 0 P and defined as:…”
Section: Sensitivity Analysismentioning
confidence: 99%
“…where h : R × R × [0, T] → R andh : R → R is a final penalty term, which we want to minimize subject to the normal flow equation in (3). More generally, let us consider the running-time cost functional…”
Section: Optimal Moving Frontsmentioning
confidence: 99%
“…In fact, they are the basis of a widely-studied family of methods usually referred to as level set methods [1]. Hamilton-Jacobi equations are useful not only for the purpose of modeling dynamic fronts, but also to solve optimal control problems over finite and infinite horizons [2], with a number of different applications (see, e.g., [3][4][5]). In this paper, we propose a novel approach to construct optimal propagating fronts with propagation speed selected in order to minimize a suitable cost functional accounting for a desired front behavior.…”
Section: Introductionmentioning
confidence: 99%
“…We defined the positive constant u max accordingly. We also define the set Ω of admissible controls to be all Lebesgue measurable functions that take on values in the control set [13,46,47] …”
mentioning
confidence: 99%