Year: 2019
Author: Jemisa Sadiku, Zilong Song, Jianhong Wu
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 4 : pp. 425–442
Abstract
Due to climate change and an increase of favourable habitat, ticks and tick-borne diseases are reported to expand to northern areas in north America. One main factor for lone star ticks to be established in Canada is due to the migration of white-tailed deers from US. In this work, we formulate a compartmental model to study the dynamics of lone star ticks and white-tailed deers, with a focus on migration effect of white-tailed deers. The tick-host interaction and the effect of deer migration are explored analytically and numerically. The positivity of the populations in the model is proved, and the unique positive equilibrium is proved to be asymptotically stable. We conduct sensitivity analysis on a set of parameters, revealing the correlation between the parameters and equilibrium populations. Numerical results show that migration rate of white-tailed deer is one crucial parameter that increases the populations of (infected) ticks and (infected) hosts.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.425
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 4 : pp. 425–442
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Lone star tick deer migration disease modeling asymptotic stability sensitivity analysis.