Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/35500
Title: Range expansion of Ixodes scapularis ticks and of Borrelia burgdorferi by migratory birds
Authors: Heffernan, JM
Lou, Y 
Wu, J
Keywords: Bird migration
Lyme disease
Periodic system
Spatial expansion
Ticks
Issue Date: 2014
Publisher: American Institute of Mathematical Sciences
Source: Discrete and continuous dynamical systems. Series B, 2014, v. 19, no. 10, p. 3147-3167 How to cite?
Journal: Discrete and continuous dynamical systems. Series B 
Abstract: 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.
URI: http://hdl.handle.net/10397/35500
ISSN: 1531-3492 (print)
1553-524X (online)
DOI: 10.3934/dcdsb.2014.19.3147
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