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Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate

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Authors
Phang, Chang
Wu, Yong Hong
Date
2011
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Conference Paper

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Phang, Chang and Wu, Yong Hong. 2011. Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate, in IEEE International Conference on Systems Biology (ISB), Sep 2-4 2011. Zhuhai, China: IEEE.
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2011 IEEE International Conference on Systems Biology (ISB)
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2011 IEEE International Conference on Systems Biology (ISB)
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Department of Mathematics and Statistics
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Abstract

In this paper, we study the bifurcation of an epidemic model with sub-optimal immunity and saturated treatment/recovery rate. Different from classical models, suboptimal models are more realistic to explain the microparasite infections disease such as Pertussis and Influenza A. By carrying out the bifurcation analysis of the model, we show that for certain values of the model parameters, Hopf bifurcation, Bogdonov-Takens bifurcation and its associated homoclinic bifurcation occur. By studying the bifurcation curves, we can predict the persistence or extinction of diseases.