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Cite Details

G. Chowell, A. L. Rivas, N. W. Hengartner, J. M. Hyman and C. Castillo-Chavez, "The Role of Spatial Mixing in the Spread of Foot-and-Mouth Disease", Preprint: LA-UR-04-5400, 2005


A model of epidemic dispersal (based on the assumption that susceptible cattle were homogeneously mixed over space, or non-spatial model) was compared to a partially spa- tially explicit and discrete model (the spatial model), which was composed of differential equations and used geo-coded data (Euclidean distances between county centroids). While the spatial model accounted for intra-county and inter-county epidemic spread, the non- spatial model did not assess regional differences. A geo-coded dataset that resembled conditions favouring homogeneous mixing assumptions (based on the 2001 Uruguayan foot-and-mouth disease epidemic), was used for testing.

Significant differences between models were observed in the average transmission rate between farms, both before and after a control policy (animal movement ban) was im- posed. They also differed in terms of daily number of infected farms: the non-spatial model revealed a single epidemic peak (at, approximately, 25 epidemic days); while the spatial model revealed two epidemic peaks (at, approximately, 12 and 28 days, respec- tively). While the spatial model fitted well with the observed cumulative number of infected farms, the non-spatial model did not (P < 0.01). In addition, the spatial model: a) indicated an early intra-county reproductive number R of 87 (falling to < 1 within 25 days), and an inter-county R < 1; and b) predicted that, if animal movement restrictions had begun 3 days before/after the estimated initiation of such policy, cases would have decreased/increased by 23 or 26%, respectively.

Spatial factors (such as inter-farm distance and coverage of vaccination campaigns, absent in non-spatial models) may explain why partially explicit spatial models describe epidemic spread more accurately than non-spatial models even at early epidemic phases. Integration of geo-coded data into mathematical models is recommended.

BibTeX Entry

author = {G. Chowell and A. L. Rivas and N. W. Hengartner and J. M. Hyman and C. Castillo-Chavez},
title = {The Role of Spatial Mixing in the Spread of Foot-and-Mouth Disease},
year = {2005},
urlpdf = {http://math.lanl.gov/~mac/papers/bio/CRHHC05b.pdf},
note = {Preprint: LA-UR-04-5400}