A mathematical model for indirectly transmitted diseases |
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Authors: | Fitzgibbon W E Langlais M Morgan J J |
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Affiliation: | Department of Mathematics, University of Houston, Houston, TX 77204-3476, USA. fitz@math.uh.edu |
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Abstract: | 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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Keywords: | 35K57 35R05 35B40 92D30 |
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