Range expansion of Ixodes scapularis ticks and of Borrelia burgdorferi by migratory birds

Jane M. Heffernan, Yijun Lou, Jianhong Wu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

13 Citations (Scopus)


Recent studies have suggested that the risk of exposure to Lyme disease is emerging in Canada because of the expanding range of I. scapularis ticks. The wide geographic breeding range of I. scapularis-carrying migratory birds is consistent with the widespread geographical occurrence of I. scapularis in Canada. However, how important migratory birds from the United States are for the establishment and the stable endemic transmission cycle of Lyme disease in Canada remains an issue of theoretical challenge and practical significance. In this paper, we design and analyze a periodic model of differential equations with a forcing term modeling the annual bird migration to address the aforementioned issue. Our results show that ticks can establish in any migratory bird stopovers and breeding sites. Moreover, bird-transported ticks may increase the probability of B. burgdorferi establishment in a tick-endemic habitat.
Original languageEnglish
Pages (from-to)3147-3167
Number of pages21
JournalDiscrete and Continuous Dynamical Systems - Series B
Issue number10
Publication statusPublished - 1 Dec 2014


  • Bird migration
  • Lyme disease
  • Periodic system
  • Spatial expansion
  • Ticks

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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