Stability Analysis of Disease Free Equilibrium (DFE) State of a Mathematical Model of Yellow Fever Incorporating Secondary Host
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Date
2017-11-20
Journal Title
Journal ISSN
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Publisher
Pacific Journal of Science and Technology
Abstract
In this paper we formulate a mathematical model
of yellow fever incorporating secondary host. We
obtained the Disease Free Equilibrium (DFE)
Points and compute the basic reproduction
number. The local and global stability of the DFE
was analyzed using Jacobian Matrix stability
techniques and Lyapunov function respectively.
The local and global stability was asymptotically
stable if 1 0 R and 1 0 R , respectively. The
basic reproduction number and control
parameters of the model were presented
graphically.
Description
Keywords
basic reproduction number, disease free equilibrium, yellow fever, secondary host, stability