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Malaria model in periodic environments.

Howard University., Mathematics.

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Malaria model in periodic environments.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Malaria model in periodic environments./
Author:	Dembele, Bassidy.
Description:	135 p.
Notes:	Adviser: Abdul-Aziz Yakubu.
Contained By:	Dissertation Abstracts International69-03B.
Subject:	Biology, Biostatistics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoeng/servlet/advanced?query=3303738
ISBN:	9780549504757

Malaria model in periodic environments.
Dembele, Bassidy.

Malaria model in periodic environments. - 135 p.

Adviser: Abdul-Aziz Yakubu.

Thesis (Ph.D.)--Howard University, 2008.

We introduce models of malaria, a disease that involves a complex life cycle of parasites, requiring both human and mosquito hosts. The novelty of the model is that we introduce periodic coefficients into the system of ODEs, which account for the seasonal variations (wet and dry seasons) in the mosquito birth, death and infection rates; and the human death and infection rates. We then compute a basic reproduction number R0 which depends on the periodic coefficients and prove that if R 0 < 1, then the disease becomes extinct, whereas if R 0 > 1, then the disease is endemic and may even be periodic. In addition, we make connections with experimental studies on malaria in Badiangara (a village in Mali), where sulfadoxine-pyrimethane (SP) has been used as a temporary vaccine. We successfully fit their experimental data and define drug administration protocols that would optimize the effectiveness of SP as a malaria vaccine.

ISBN: 9780549504757Subjects--Topical Terms:

1018416
Biology, Biostatistics.

Malaria model in periodic environments.
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020 $a 9780549504757
035 $a (UMI)AAI3303738
035 $a AAI3303738
040 $a UMI $c UMI
100 1 $a Dembele, Bassidy. $3 1023505
245 1 0 $a Malaria model in periodic environments.
300 $a 135 p.
500 $a Adviser: Abdul-Aziz Yakubu.
500 $a Source: Dissertation Abstracts International, Volume: 69-03, Section: B, page: 1682.
502 $a Thesis (Ph.D.)--Howard University, 2008.
520 $a We introduce models of malaria, a disease that involves a complex life cycle of parasites, requiring both human and mosquito hosts. The novelty of the model is that we introduce periodic coefficients into the system of ODEs, which account for the seasonal variations (wet and dry seasons) in the mosquito birth, death and infection rates; and the human death and infection rates. We then compute a basic reproduction number R0 which depends on the periodic coefficients and prove that if R 0 < 1, then the disease becomes extinct, whereas if R 0 > 1, then the disease is endemic and may even be periodic. In addition, we make connections with experimental studies on malaria in Badiangara (a village in Mali), where sulfadoxine-pyrimethane (SP) has been used as a temporary vaccine. We successfully fit their experimental data and define drug administration protocols that would optimize the effectiveness of SP as a malaria vaccine.
590 $a School code: 0088.
650 4 $a Biology, Biostatistics. $3 1018416
650 4 $a Health Sciences, Epidemiology. $3 1019544
650 4 $a Mathematics. $3 515831
690 $a 0308
690 $a 0405
690 $a 0766
710 2 $a Howard University. $b Mathematics. $3 1023504
773 0 $t Dissertation Abstracts International $g 69-03B.
790 $a 0088
790 1 0 $a Berezovskaya, Faina $e committee member
790 1 0 $a Diagana, Toka $e committee member
790 1 0 $a Hindman, Neil $e committee member
790 1 0 $a Sumner, Suzanne $e committee member
790 1 0 $a Yakubu, Abdul-Aziz, $e advisor
791 $a Ph.D.
792 $a 2008
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoeng/servlet/advanced?query=3303738