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It extends a method previously described in the literature to deal with possible dependence between disease counts from different pathogens. In a spatio\u2010temporal context it is proposed to include additional information on global dispersal of the pathogen in the model. Two examples are given: the first describes an analysis of weekly influenza and meningococcal disease counts from Germany. The second gives an analysis of the spatio\u2010temporal spread of influenza in the U.S.A., 1996\u20132006, using air traffic information. Maximum likelihood estimates in this non\u2010standard model class are obtained using general optimization routines, which are integrated in the R package<jats:styled-content>surveillance<\/jats:styled-content>. 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