感染症数理モデルの再生産数(レビュー)

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タイトル別名
  • Basic Reproductive Ratio for Epdiemic Models (Review)
  • カンセンショウ スウリ モデル ノ サイセイサンスウ(レビュー)

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We review some fundamental results on the basic reproductive ratio of models in epidemiology following several documents. We present the general denition of the basic reproductive ratio and the threshold theorem of for the stability of the disease free equilibrium. All results for non-negative matrices and non singular M-matrices which we need in the denition of the basic reproductive ratio and the proof of the threshold theorem are also presented. All parts of the review are self-contained, and all parts of the proof are given explicitly.

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