Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate
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 b...
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| Other Authors: | |
| Format: | Conference Paper |
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Curran Associates, Inc.
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/42167 |
| _version_ | 1848756345304514560 |
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| author | Phang, Chang Wu, Yong Hong |
| author2 | Luonan Chen |
| author_facet | Luonan Chen Phang, Chang Wu, Yong Hong |
| author_sort | Phang, Chang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T09:10:43Z |
| format | Conference Paper |
| id | curtin-20.500.11937-42167 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:10:43Z |
| publishDate | 2011 |
| publisher | Curran Associates, Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-421672023-01-27T05:52:11Z Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate Phang, Chang Wu, Yong Hong Luonan Chen Xiang-Sun Zhang Ling-Yun Wu Yong Wang saturated treatment/recovery rate sub-optimal immunity Hopf bifurcation Bogdonov-Takens bifurcation homoclinic bifurcation 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. 2011 Conference Paper http://hdl.handle.net/20.500.11937/42167 10.1109/ISB.2011.6033148 Curran Associates, Inc. restricted |
| spellingShingle | saturated treatment/recovery rate sub-optimal immunity Hopf bifurcation Bogdonov-Takens bifurcation homoclinic bifurcation Phang, Chang Wu, Yong Hong Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate |
| title | Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate |
| title_full | Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate |
| title_fullStr | Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate |
| title_full_unstemmed | Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate |
| title_short | Bifurcation of an Epidemic Model with Sub-optimal Immunity and Saturated Recovery Rate |
| title_sort | bifurcation of an epidemic model with sub-optimal immunity and saturated recovery rate |
| topic | saturated treatment/recovery rate sub-optimal immunity Hopf bifurcation Bogdonov-Takens bifurcation homoclinic bifurcation |
| url | http://hdl.handle.net/20.500.11937/42167 |