Stability and hopf bifurcation analysis of an epidemiological model incorporating delay and media coverage

X. J. Wang, C. Q. Xu, Y. X. Pan

Abstract


In this paper, an epidemiological model with delay and media coverage is proposed and analyzed. Both the disease-free and endemic equilibria are found and their stability are studied by using the theory of differential equations. It is proved that the time delay may cause a stable equilibrium to become unstable, and Hopf bifurcation about endemic equilibrium can occur under certain conditions. The report ability of the media coverage plays an important role in the spreading of the diseases.

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Published: 2015-06-19

How to Cite this Article:

X. J. Wang, C. Q. Xu, Y. X. Pan, Stability and hopf bifurcation analysis of an epidemiological model incorporating delay and media coverage, Communications in Mathematical Biology and Neuroscience, Vol 2015 (2015), Article ID 19

Copyright © 2015 X. J. Wang, C. Q. Xu, Y. X. Pan. 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.

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