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• W76152643 abstract "A wide variety of phenomena of geographical spread can be described in terms of a mechanism of “growth” (e.g. birth, infection) and a “contact distribution” which describes how the locations of the individual(s) involved in a migratory move, or infection at a distance, are spatially related. I shall survey work on such models, beginning with an examination of the relations between stochastic and deterministic models; it emerges that both linear and nonlinear deterministic models have close connections with the less interesting “linear” (exponential growth) stochastic models. More realistic models must be nonlinear as well as stochastic; some results are now available for such models. As in the linear case, these deal mainly with asymptotic behaviour. Simulations reveal that nonlinear stochastic processes have a richer spectrum of non-asymptotic behaviour than linear models, though in some circumstances the simpler models may provide an adequate approximation. Thus theoretical study of the short-term behaviour of such processes may be difficult, but should prove rewarding. The other main outstanding problems are those of inference for such models, especially the estimation of contact distributions." @default.
• W76152643 created "2016-06-24" @default.
• W76152643 creator A5044698138 @default.
• W76152643 date "1977-07-01" @default.
• W76152643 modified "2023-09-30" @default.
• W76152643 title "Spatial Contact Models for Ecological and Epidemic Spread" @default.
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• W76152643 doi "https://doi.org/10.1111/j.2517-6161.1977.tb01627.x" @default.
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