stability analysis of the transmission dynamics of an hbv model
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abstract
hepatitis b virus (hbv) infection is a major public health problem in the world today. a mathematical model is formulated to describe the spread of hepatitis b, which can be controlled by vaccination as well as treatment. we study the dynamical behavior of the system with fixed control for both vaccination and treatment. the results shows that the dynamics of the model is completely determined by the basic reproductive number r_0. if r_01, the disease-free equilibrium is unstable and the disease is uniformly persistent. furthermore, if r_0>1, the unique endemic equilibrium is globally asymptotically stable by using a generalization of the poincar e-bendixson criterion.
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Stability analysis of the transmission dynamics of an HBV model
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Journal title:
international journal of industrial mathematicsPublisher: science and research branch, islamic azad university, tehran, iran
ISSN 2008-5621
volume 8
issue 2 2016
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