Dynamics of Multi-strain Age-structured Model for Malaria Transmission

Simple item page
dc.contributor.authorForouzannia, Farinaz
dc.contributor.examiningcommitteeLui, Shaun (Mathematics) Wu, Qiong (Christine) (Mechanical and Manufacturing engineering)en_US
dc.contributor.supervisorGumel, Abba (Mathematics)en_US
dc.date.accessioned2013-08-22T14:03:05Z
dc.date.available2013-08-22T14:03:05Z
dc.date.issued2013-08-22
dc.degree.disciplineMathematicsen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractThe thesis is based on the use of mathematical modeling and analysis to gain insightinto the transmission dynamics of malaria in a community. A new deterministic model for assessing the role of age-structure on the disease dynamics is designed. The model undergoes backward bifurcation, a dynamic phenomenon characterized by the co-existence of a stable disease-free and an endemic equilibrium of the model when the associated reproduction number is less than unity. It is shown that adding age-structure to the basic model for malaria transmission does not alter its essential qualitative dynamics. The study is extended to incorporate the use of anti-malaria drugs. Numerical simulations of the extended model suggest that for the case when treatment does not cause drug resistance (and the reproduction number of each of the two strains exceed unity), the model undergoes competitive exclusion. The impact of various effectiveness levels of the treatment strategy is assessed.en_US
dc.description.noteOctober 2013en_US
dc.identifier.urihttp://hdl.handle.net/1993/22060
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectMalaria transmission dynamicsen_US
dc.subjectAge-structureden_US
dc.subjectEndemic equilibriumen_US
dc.subjectGlobal asymptotic stabilityen_US
dc.subjectBackward bifurcationen_US
dc.subjectSimulationsen_US
dc.titleDynamics of Multi-strain Age-structured Model for Malaria Transmissionen_US
dc.typemaster thesisen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Farinaz_Forouzannia.pdf
Size:
1.93 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
2.25 KB
Format:
Item-specific license agreed to upon submission
Description:
Download
Collections
FGS - Electronic Theses and Practica