Global epidemic invasion thresholds in directed cattle subpopulation networks having source, sink, and transit nodes

Schumm P., Scoglio C., Zhang Q., Balcan D.

JOURNAL OF THEORETICAL BIOLOGY, cilt.367, ss.203-221, 2015 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 367
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.jtbi.2014.12.007
  • Dergi Adı: JOURNAL OF THEORETICAL BIOLOGY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.203-221
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Through the characterization of a metapopulation cattle disease model on a directed network having source, transit, and sink nodes, we derive two global epidemic invasion thresholds. The first threshold defines the conditions necessary for an epidemic to successfully spread at the global scale. The second threshold defines the criteria that permit an epidemic to move out of the giant strongly connected component and to invade the populations of the sink nodes. As each sink node represents a final waypoint for cattle before slaughter, the existence of an epidemic among the sink nodes is a serious threat to food security. We find that the relationship between these two thresholds depends on the relative proportions of transit and sink nodes in the system and the distributions of the in-degrees of both node types. These analytic results are verified through numerical realizations of the metapopulation cattle model. Published by Elsevier Ltd.