Optimal treated mosquito bed nets and insecticides foreradication of malaria in Missira

Bassidy Dembele; Abdul-Aziz Yakubu

doi:10.3934/dcdsb.2012.17.1831

Article Contents

2012, Volume 17, Issue 6: 1831-1840. Doi: 10.3934/dcdsb.2012.17.1831

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Optimal treated mosquito bed nets and insecticides for eradication of malaria in Missira

Bassidy Dembele^1, and
Abdul-Aziz Yakubu^2,

1.
Department of Mathematics and Computer Science, Grambling State University, Grambling, LA 71245
2.
Department of Mathematics, Howard University, Washington, DC 20059

Received: May 2011

Revised: July 2011

Published: September 2012

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Abstract

We extend the deterministic mathematical malaria model framework of Dembele et al. and use it to study the impact of protecting humans from mosquito bites and mass killing of mosquito vectors on malaria incidence in Missira, a village in Mali. As a case study, we fit our model to Missira malaria incidence data. Using the fitted model, we compute the optimal proportion of protected human population from infected mosquito bites and optimal proportion of killed moquitoes that would lead to the eradication of malaria in Missira.

Keywords:

Bed nets,
insecticide,
malaria,
Missira.

Mathematics Subject Classification: Primary: 34C60; Secondary: 34C25, 34D23, 92D30.

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