title: Disease dynamics for the hometown of migrant workers.
abstract: A recent paper by L. Wang, X. Wang J. Theoret. Biol. 300:100--109 (2012) formulated and studied a delay differential equation model for disease dynamics in a region where a portion of the population leaves to work in a different region for an extended fixed period. Upon return, a fraction of the migrant workers have become infected with the disease. The global dynamics were not fully resolved in that paper, but are resolved here. We show that for all parameter values and all delays, the unique equilibrium is globally asymptotically stable, implying that the disease will eventually reach a constant positive level in the population.
authors.affiliation: Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada. rsigdel@uoguelph.ca.
authors.forename: Ram P
authors.initials: RP
authors.lastname: Sigdel
authors.forename: C Connell
authors.initials: CC
authors.lastname: McCluskey
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology*; D005260:Female; D006801:Humans; D008297:Male; D008962:Models, Theoretical; D011157:Population Dynamics; D014171:Transients and Migrants