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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
agricultural and biological sciences
A Mathematical Model of Rift Valley Fever with Human Host
Acta Biotheoretica, Volume 59, No. 3-4, Year 2011
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Description
Rift Valley Fever is a vector-borne disease mainly transmitted by mosquito. To gain some quantitative insights into its dynamics, a deterministic model with mosquito, livestock, and human host is formulated as a system of nonlinear ordinary differential equations and analyzed. The disease threshold R 0 is computed and used to investigate the local stability of the equilibria. A sensitivity analysis is performed and the most sensitive model parameters to the measure of initial disease transmission R 0 and the endemic equilibrium are determined. Both R 0 and the disease prevalence in mosquitoes are more sensitive to the natural mosquito death rate, d m. The disease prevalence in livestock and humans are more sensitive to livestock and human recruitment rates, Π l and Π h, respectively, suggesting isolation of livestock from humans is a viable preventive strategy during an outbreak. Numerical simulations support the analytical results in further exploring theoretically the long-term dynamics of the disease at the population level. © 2011 Springer Science+Business Media B.V.
Authors & Co-Authors
Mpeshe, Saul C.
Tanzania, Iringa
Tumaini University
Tanzania, Dar es Salaam
University of Dar es Salaam
Haario, Heikki E.
Finland, Lappeenranta
Lut University
Tchuenche, J. M.
Tanzania, Dar es Salaam
University of Dar es Salaam
Statistics
Citations: 65
Authors: 3
Affiliations: 3
Identifiers
Doi:
10.1007/s10441-011-9132-2
ISSN:
00015342
Research Areas
Infectious Diseases
Study Design
Cross Sectional Study
Study Approach
Quantitative