A mathematical model for indirectly transmitted diseases.
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.
Fitzgibbon
W E
WE
Department of Mathematics, University of Houston, Houston, TX 77204-3476, USA. fitz@math.uh.edu
Langlais
M
M
Morgan
J J
JJ
D000465:Algorithms; D000818:Animals; D003141:Communicable Diseases / Q000382:microbiology / Q000469:parasitology / Q000635:transmission*; D004197:Disease Reservoirs / Q000382:microbiology / Q000469:parasitology; D018778:Hantavirus Infections / Q000635:transmission; D006801:Humans; D008954:Models, Biological; D012377:Rodentia; D015047:Zoonoses / Q000382:microbiology / Q000469:parasitology / Q000635:transmission*