Abstract
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.
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Fitzgibbon, WE., Langlais, M., Marpeau, F. et al. Modeling the Circulation of a Disease Between Two Host Populations on non Coincident Spatial Domains. Biol Invasions 7, 863–875 (2005). https://doi.org/10.1007/s10530-005-5210-1
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DOI: https://doi.org/10.1007/s10530-005-5210-1