Open AccessRange expansion of <em> Ixodes scapularis</em> ticks and of <em> Borrelia burgdorferi</em> by migratory birds
Author(s) -
Jane M. Heffernan,
Yijun Lou,
Jianhong Wu
Publication year - 2014
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2014.19.3147
Subject(s) - ixodes scapularis , borrelia burgdorferi , lyme disease , tick , range (aeronautics) , biology , ecology , transmission (telecommunications) , ixodes , borrelia , zoology , ixodidae , virology , immunology , materials science , antibody , composite material , electrical engineering , engineering
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.Department of Applied Mathematic