 The asymptotic profile of a dengue fever model on a periodically evolving domainMin Zhu, Yong Xu and Jinde Cao Applied Mathematics and Computation, 2019, vol. 362, issue C, - Abstract: The range of the domain where the vector and host of dengue fever inhabit usually changes periodically with climate changes. To reveal the impact of periodic change of habitat on the transmission of dengue fever, we construct a dengue fever model incorporating the domain evolution. For the sake of analysis, this model is first transformed into a reaction-diffusion problem in the periodic environment. The corresponding basic reproduction number is investigated by means of the spectral analysis and eigenvalue problem. Utilizing this number, we explore the long-time behavior of dengue virus under the hypothesis that the domain is periodically evolving. The final numerical simulation and epidemiological explanation further illustrate the influence of the domain evolution on the dengue virus. Our work shows that the periodic change of habitat size plays an important role in the virus transmission, in particular, the increase of domain evolution ratio would boost the spread of dengue fever. Keywords: Dengue fever model; Periodically evolving domain; The basic reproduction number; Vanishing and spreading (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:362:y:2019:i:c:14 DOI: 10.1016/j.amc.2019.06.045 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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