Global dynamics of an HBV model with spatial diffusion and antibody response

Shihua Zhang, Rui Xu

Abstract


In this paper, we investigate the dynamic of a delayed HBV model with spatial diffusion and antibody response. By analyzing the corresponding characteristic equations, the local stability of an infected steady state and an uninfected steady state is discussed. Moreover, by constructing two Lyapunov functionals, it is proved that the global dynamics for the two steady states of the model is completely determined by the basic reproductive number.

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Published: 2016-01-14

How to Cite this Article:

Shihua Zhang, Rui Xu, Global dynamics of an HBV model with spatial diffusion and antibody response, Communications in Mathematical Biology and Neuroscience, Vol 2016 (2016), Article ID 3

Copyright © 2016 Shihua Zhang, Rui Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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