A model for epidemic dynamics in a community with visitor subpopulation

Emmanuel J. Dansu, Hiromi Seno

研究成果: Article査読

3 被引用数 (Scopus)

抄録

With a five dimensional system of ordinary differential equations based on the SIR and SIS models, we consider the dynamics of epidemics in a community which consists of residents and short-stay visitors. Taking different viewpoints to consider public health policies to control the disease, we derive different basic reproduction numbers and clarify their common/different mathematical natures so as to understand their meanings in the dynamics of the epidemic. From our analyses, the short-stay visitor subpopulation could become significant in determining the fate of diseases in the community. Furthermore, our arguments demonstrate that it is necessary to choose one variant of basic reproduction number in order to formulate appropriate public health policies.

本文言語English
ページ(範囲)115-127
ページ数13
ジャーナルJournal of Theoretical Biology
478
DOI
出版ステータスPublished - 2019 10 7

ASJC Scopus subject areas

  • 統計学および確率
  • モデリングとシミュレーション
  • 生化学、遺伝学、分子生物学(全般)
  • 免疫学および微生物学(全般)
  • 農業および生物科学(全般)
  • 応用数学

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