Abstract
A model has been formulated in [7] to describe the spatial spread of an epidemic involving n types of individuals, when triggered by the introduction of infectives from outside. Wave solutions for such a model have been investigated in [5] and [8] and have been shown only to exist at certain speeds. This paper establishes that the asymptotic speed of propagation, as denned in Aronson and Weinberger [1, 2], of such an epidemic is in fact c0, the minimum speed at which wave solutions exist. This extends the known result for the one-type and host-vector epidemics.
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Radcliffe, J., Rass, L. The asymptotic speed of propagation of the deterministic non-reducible n-type epidemic. J. Math. Biology 23, 341–359 (1986). https://doi.org/10.1007/BF00275253
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DOI: https://doi.org/10.1007/BF00275253