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http://hdl.handle.net/10397/93869
Title: | Dynamics of a periodic tick-borne disease model with co-feeding and multiple patches | Authors: | Zhang, X Sun, B Lou, Y |
Issue Date: | Mar-2021 | Source: | Journal of mathematical biology, Mar. 2021, v. 82, no. 4, 27 | Abstract: | By extending a mechanistic model for the tick-borne pathogen systemic transmission with the consideration of seasonal climate impacts, host movement as well as the co-feeding transmission route, this paper proposes a novel modeling framework for describing the spatial dynamics of tick-borne diseases. The net reproduction number for tick growth and basic reproduction number for disease transmission are derived, which predict the global dynamics of tick population growth and disease transmission. Numerical simulations not only verify the analytical results, but also characterize the contribution of co-feeding transmission route on disease prevalence in a habitat and the effect of host movement on the spatial spreading of the pathogen. | Keywords: | Basic reproduction number Co-feeding transmission Global stability Net reproduction number Patch model Tick-borne disease |
Publisher: | Springer | Journal: | Journal of mathematical biology | EISSN: | 0303-6812 | DOI: | 10.1007/s00285-021-01582-6 | Rights: | © The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature 2021 This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00285-021-01582-6 |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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Lou_Dynamics_Periodic_Tick-Borne.pdf | Pre-Published version | 961.29 kB | Adobe PDF | View/Open |
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