2016
DOI: 10.4236/am.2016.76050
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Modeling Insecticide Resistance in Endemic Regions of Kenya

Abstract: In this study, we develop an SIS model for two types of mosquitoes, a traditional one and one that is resistant to IRS and ITNs. The resistant mosquito develops behavioral adaptation to control measures put in place to reduce their biting rate. They also bite early before dusk and later after dark when people are outside the houses and nets. We determine the effect of the two types of mosquitoes on malaria transmission in Kenya. The basic reproduction number 0  is established as a sharp threshold that determi… Show more

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Cited by 4 publications
(4 citation statements)
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“…The model (2.4) is an extension of numerous malaria transmission models that assess the impact of insecticide resistance and dynamics of resistant vectors when chemical insecticides (such as ITNs, IRS, or larvacides) are used to control the vector population (such as those in (Barbosa & Hastings, 2012; Birget & Koella, 2015; Blayneh & Mohammed-Awel, 2014; Brown et al., 2013; Gourley et al., 2011; Wairimu & Ronoh, 2016)) by, inter alia ,including the use of ITNs and IRS control strategies where the vector population is stratified according to type (i.e., wild or resistant to insecticides). These classifications are not included in the genetic models in (Barbosa & Hastings, 2012; Birget & Koella, 2015; Brown et al., 2013);incorporating mosquito feeding and resting behavior (these are not included in the models in (Barbosa & Hastings, 2012; Birget & Koella, 2015; Blayneh & Mohammed-Awel, 2014; Brown et al., 2013; Gourley et al., 2011; Wairimu & Ronoh, 2016));carrying out optimal control analysis of the model with respect to the two insecticide-based controls (this is not done in (Barbosa & Hastings, 2012; Birget & Koella, 2015; Blayneh & Mohammed-Awel, 2014; Brown et al., 2013; Gourley et al., 2011; Wairimu & Ronoh, 2016)).…”
Section: Model Formulationmentioning
confidence: 99%
See 3 more Smart Citations
“…The model (2.4) is an extension of numerous malaria transmission models that assess the impact of insecticide resistance and dynamics of resistant vectors when chemical insecticides (such as ITNs, IRS, or larvacides) are used to control the vector population (such as those in (Barbosa & Hastings, 2012; Birget & Koella, 2015; Blayneh & Mohammed-Awel, 2014; Brown et al., 2013; Gourley et al., 2011; Wairimu & Ronoh, 2016)) by, inter alia ,including the use of ITNs and IRS control strategies where the vector population is stratified according to type (i.e., wild or resistant to insecticides). These classifications are not included in the genetic models in (Barbosa & Hastings, 2012; Birget & Koella, 2015; Brown et al., 2013);incorporating mosquito feeding and resting behavior (these are not included in the models in (Barbosa & Hastings, 2012; Birget & Koella, 2015; Blayneh & Mohammed-Awel, 2014; Brown et al., 2013; Gourley et al., 2011; Wairimu & Ronoh, 2016));carrying out optimal control analysis of the model with respect to the two insecticide-based controls (this is not done in (Barbosa & Hastings, 2012; Birget & Koella, 2015; Blayneh & Mohammed-Awel, 2014; Brown et al., 2013; Gourley et al., 2011; Wairimu & Ronoh, 2016)).…”
Section: Model Formulationmentioning
confidence: 99%
“…carrying out optimal control analysis of the model with respect to the two insecticide-based controls (this is not done in (Barbosa & Hastings, 2012; Birget & Koella, 2015; Blayneh & Mohammed-Awel, 2014; Brown et al., 2013; Gourley et al., 2011; Wairimu & Ronoh, 2016)).…”
Section: Model Formulationmentioning
confidence: 99%
See 2 more Smart Citations