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The asymptotic profile of a dengue fever model on a periodically evolving domain

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  • Zhu, Min
  • Xu, Yong
  • Cao, Jinde

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.

Suggested Citation

  • Zhu, Min & Xu, Yong & Cao, Jinde, 2019. "The asymptotic profile of a dengue fever model on a periodically evolving domain," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    • Handle: RePEc:eee:apmaco:v:362:y:2019:i:c:14
    DOI: 10.1016/j.amc.2019.06.045
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    References listed on IDEAS

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    1. Mitchell L. Cohen, 2000. "Changing patterns of infectious disease," Nature, Nature, vol. 406(6797), pages 762-767, August.
    2. Tewa, Jean Jules & Dimi, Jean Luc & Bowong, Samuel, 2009. "Lyapunov functions for a dengue disease transmission model," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 936-941.
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