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We study an epidemic propagation between $M$ population centra. The noveltyof the model is in analyzing the migration of host (remaining in the samecentre) and guest (migrated to another centre) populations separately. Even inthe simplest case $M=2$, this modification is justified because it gives a morerealistic description of migration processes. This becomes evident in a purelymigration model with vanishing epidemic parameters. It is important to accountfor a certain number of guest susceptible present in non-host cenrta becausethese susceptible may be infected and return to the host node as infectives.The flux of such infectives is not negligible and is comparable with the fluxof host infectives migrated to other centra, because the return rate of a guestindividual will, by nature, tend to be high. It is shown that taking account ofboth fluxes of infectives noticeably increases the speed of epidemic spread ina 1D lattice of identical SIR centra.

A new view on migration processes between SIR centra: an account of the different dynamics of host and guest