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Parameter Estimation and Mathematical Modeling of Visceral Leishmaniasis Transmission


Abstract The Visceral Leishmaniasis (VL) is primarily endemic in five countries, with India and Sudan having the highest burden. The risk factors associated with VL are either unknown in some regions or vary drastically among empirical studies. Here, a dynamical model, motivated and informed by field data from the literature, is analyzed and employed to identify and quantify the impact of region dependent risks on the VL transmission dynamics. Parameter estimation procedures were developed using model-derived quantities and empirical data from multiple resources. The dynamics of VL depend on the estimates of the control reproductive number, RC, interpreted as the average number of secondary infections generated by a single infectious individual duri... (more)
Created Date 2016
Contributor Barley, Kamal Kevin (Author) / Castillo-Chavez, Carlos (Advisor) / Mubayi, Anuj (Advisor) / Safan, Muntaser (Committee member) / Arizona State University (Publisher)
Subject Statistics / Applied mathematics / Mathematics / Anthroponotic Visceral Leishmaniasis / Leishmania donovani / Visceral Leishmaniasis
Type Doctoral Dissertation
Extent 111 pages
Language English
Copyright
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Note Doctoral Dissertation Applied Mathematics for the Life and Social Sciences 2016
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis