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| HAL: hal-00437300, version 1 |
| DOI: 10.1007/s11786-008-0068-0 |
| Detailed view |  Export this paper |
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| Mathematics in Computer Science 2, 3 (2009) 517-533 |
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| Stability of Disease Free Equilibria in Epidemiological Models |
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| M'Hammed El Kahoui 1Adamou Otto 2, 3 |
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| (2009) |
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| In this paper we study the structural properties of epidemiological models and we derive a necessary and sufficient condition for the stability of their disease free equilibria. We then show that for a large class of models our condition may be explicitly obtained by using symbolic computation tools. We also give a sufficient condition for the global stability of the disease free equilibrium. |
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| 1: | Department of Mathematics, Faculty of Sciences Semlalia |
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UNIVERSITE CADI AYYAD |
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| 2: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 3: | Département de Mathématiques et Informatique |
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U.A.M. de Niamey |
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| Subject | : | Mathematics/Commutative Algebra |
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| Epidemiological models – stability of equilibria – invariant set – basic reproduction number – Gröbner basis – Routh–Hurwitz criterion – M-matrices |
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| hal-00437300, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00437300 | |
| oai:hal.archives-ouvertes.fr:hal-00437300 | |
| From: Maryse Collin | |
| Submitted on: Monday, 30 November 2009 11:39:58 | |
| Updated on: Wednesday, 24 March 2010 11:19:03 | |
