Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate
dc.contributor.author | Phang, Chang | |
dc.contributor.author | Wu, Yong Hong | |
dc.contributor.editor | Luonan Chen | |
dc.contributor.editor | Xiang-Sun Zhang | |
dc.contributor.editor | Ling-Yun Wu | |
dc.contributor.editor | Yong Wang | |
dc.date.accessioned | 2017-01-30T14:57:51Z | |
dc.date.available | 2017-01-30T14:57:51Z | |
dc.date.created | 2012-03-26T20:01:28Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | 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. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/42167 | |
dc.identifier.doi | 10.1109/ISB.2011.6033148 | |
dc.description.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. | |
dc.publisher | Curran Associates, Inc. | |
dc.subject | saturated treatment/recovery rate | |
dc.subject | sub-optimal immunity | |
dc.subject | Hopf bifurcation | |
dc.subject | Bogdonov-Takens bifurcation | |
dc.subject | homoclinic bifurcation | |
dc.title | Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate | |
dc.type | Conference Paper | |
dcterms.source.title | 2011 IEEE International Conference on Systems Biology (ISB) | |
dcterms.source.series | 2011 IEEE International Conference on Systems Biology (ISB) | |
dcterms.source.isbn | 9781457716669 | |
dcterms.source.conference | 2011 IEEE International Conference on Systems Biology (ISB) | |
dcterms.source.conference-start-date | Sep 2 2011 | |
dcterms.source.conferencelocation | Zhuhai, China | |
dcterms.source.place | 57 Morehouse Lane, Red Hook, NY 12571 USA | |
curtin.department | Department of Mathematics and Statistics | |
curtin.accessStatus | Fulltext not available |