FITZGIBBON, W.E.; LANGLAIS, Michel; MARPEAU, F.; MORGAN, J.J.

doi:10.1007/s10530-005-5210-1

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LANGLAIS, Michel
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]

MARPEAU, F.

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Biological Invasions. 2005, vol. 7, p. 863-875

Springer Verlag

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We derive a reaction–diffusion system modeling the spatial propagation of a disease with kinetics occurring on distinct spatial domains. This corresponds to the actual invasion of a disease from a species living in a given spatial domain toward a second species living in a different spatial domain. We study the global existence of solutions and discuss the long time behavior of solutions. Then we consider a special case, based on a model of brain worm infection from white-tailed deer to moose populations, for which we discuss the invasion success/failure process and disprove a conjecture stated in an earlier work.< Leer menos

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distinct spatial domains

large-time behavior

reaction–diffusion equations

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Modeling the circulation of a disease between two host populations on non coincident spatial domains

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