Global convergence analysis of a class of epidemic models
This paper addresses the global convergence of the epidemic models whose infected subsystems are monotone in the sense of Hirsch (1984). By invoking results from monotone system theory and nonlinear control theory, a simple method is proposed for determining the global asymptotic stability of a dise...
| Main Authors: | , , |
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| Format: | Journal Article |
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Elsevier
2017
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| Online Access: | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/54726 |
| _version_ | 1848759443605422080 |
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| author | Ye, H. Gui, W. Xu, Honglei |
| author_facet | Ye, H. Gui, W. Xu, Honglei |
| author_sort | Ye, H. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper addresses the global convergence of the epidemic models whose infected subsystems are monotone in the sense of Hirsch (1984). By invoking results from monotone system theory and nonlinear control theory, a simple method is proposed for determining the global asymptotic stability of a disease free equilibrium (DFE) and the global convergence to an endemic equilibrium (EE). Typical epidemic models are studied to illustrate the applicability of the proposed methodology. |
| first_indexed | 2025-11-14T09:59:58Z |
| format | Journal Article |
| id | curtin-20.500.11937-54726 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:59:58Z |
| publishDate | 2017 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-547262023-04-26T05:13:47Z Global convergence analysis of a class of epidemic models Ye, H. Gui, W. Xu, Honglei This paper addresses the global convergence of the epidemic models whose infected subsystems are monotone in the sense of Hirsch (1984). By invoking results from monotone system theory and nonlinear control theory, a simple method is proposed for determining the global asymptotic stability of a disease free equilibrium (DFE) and the global convergence to an endemic equilibrium (EE). Typical epidemic models are studied to illustrate the applicability of the proposed methodology. 2017 Journal Article http://hdl.handle.net/20.500.11937/54726 10.1016/j.apm.2017.03.013 http://purl.org/au-research/grants/arc/DP160102819 Elsevier unknown |
| spellingShingle | Ye, H. Gui, W. Xu, Honglei Global convergence analysis of a class of epidemic models |
| title | Global convergence analysis of a class of epidemic models |
| title_full | Global convergence analysis of a class of epidemic models |
| title_fullStr | Global convergence analysis of a class of epidemic models |
| title_full_unstemmed | Global convergence analysis of a class of epidemic models |
| title_short | Global convergence analysis of a class of epidemic models |
| title_sort | global convergence analysis of a class of epidemic models |
| url | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/54726 |