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| HAL: hal-00195426, version 1 |
| DOI: 10.1016/j.mbs.2005.07.005 |
| Detailed view |  Export this paper |
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| Mathematical Biosciences 206 (2007) 233-248 |
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| A mathematical model for indirectly transmitted diseases |
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| W.E. FitzgibbonMichel Langlais 1, 2 |
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| (2007) |
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| We consider a mathematical model for the indirect transmission via a contaminated environment of a microparasite between two spatially distributed host populations having non-coincident spatial domains. The parasite is benign in a first population and lethal in the second one. Global existence results are given for the resulting reaction–diffusion system coupled with an ordinary differential equation. Then, invasion and persistence of the parasite are studied. A simplified model for the transmission of a hantavirus from bank vole to human populations is then analysed. |
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| 1: | ANUBIS (INRIA Futurs) |
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INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| 2: | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Indirectly transmitted disease – Reaction–diffusion systems – Global existence – Invasion and persistence – Hantavirus |
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| hal-00195426, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00195426 | |
| oai:hal.archives-ouvertes.fr:hal-00195426 | |
| From: Michel Langlais | |
| Submitted on: Monday, 10 December 2007 19:22:07 | |
| Updated on: Friday, 4 July 2008 11:25:29 | |
