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A Nonlocal Spatial Model for Lyme Disease

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Dynamical Systems in Population Biology

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Abstract

Lyme disease is a worldwide vector-borne infection caused by the spirochete bacterium Borrelia burgdorferi, whose primary vector in North America is the black-legged tick (also known as Ixodes scapularis). The black-legged tick normally has a two-year life cycle including three feeding stages: larva, nymph, and adult. In those stages, ticks could acquire blood meals from a variety of hosts like rodents and mammals. In particular, Larvae and nymphs mainly feed on white-footed mouse Peromyscus leucopus, and adult ticks obtain blood meals almost exclusively from the white-tailed deer Odocoileus virginianus [56]. Since nymphs are too tiny (less than 2mm) to detect, humans may carry Lyme disease through the bites of infectious nymphs. For more biological discussions about the infection of Lyme disease, we refer to [29, 261, 240, 208, 382, 201] and the references therein.

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Zhao, XQ. (2017). A Nonlocal Spatial Model for Lyme Disease. In: Dynamical Systems in Population Biology. CMS Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-56433-3_14

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