Global convergence analysis of a class of epidemic models
| dc.contributor.author | Ye, H. | |
| dc.contributor.author | Gui, W. | |
| dc.contributor.author | Xu, Honglei | |
| dc.date.accessioned | 2017-07-27T05:22:02Z | |
| dc.date.available | 2017-07-27T05:22:02Z | |
| dc.date.created | 2017-07-26T11:11:19Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Ye, H. and Gui, W. and Xu, H. 2017. Global convergence analysis of a class of epidemic models. Applied Mathematical Modelling. 47: pp. 442-458. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/54726 | |
| dc.identifier.doi | 10.1016/j.apm.2017.03.013 | |
| dc.description.abstract |
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. | |
| dc.publisher | Elsevier | |
| dc.relation.sponsoredby | http://purl.org/au-research/grants/arc/DP160102819 | |
| dc.title | Global convergence analysis of a class of epidemic models | |
| dc.type | Journal Article | |
| dcterms.source.volume | 47 | |
| dcterms.source.startPage | 442 | |
| dcterms.source.endPage | 458 | |
| dcterms.source.issn | 0307-904X | |
| dcterms.source.title | Applied Mathematical Modelling | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Open access via publisher |
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