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A mathematical model for indirectly transmitted diseases
W E Fitzgibbon1, M Langlais, J J Morgan
1Department of Mathematics, University of Houston, Houston, TX 77204-3476, USA. fitz@math.uh.edu
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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