Construction of Lyapunov functions for some models of infectious diseases in vivo: From simple models to complex models

Tsuyoshi Kajiwara, Toru Sasaki, Yasuhiro Takeuchi

研究成果査読

10 被引用数 (Scopus)

抄録

We present a constructive method for Lyapunov functions for ordinary differential equation models of infectious diseases in vivo. We consider models derived from the Nowak-Bangham models. We construct Lyapunov functions for complex models using those of simpler models. Especially, we construct Lyapunov functions for models with an immune variable from those for models without an immune variable, a Lyapunov functions of a model with absorption effect from that for a model without absorption effect. We make the construction clear for Lyapunov functions proposed previously, and present new results with our method.

本文言語English
ページ(範囲)117-133
ページ数17
ジャーナルMathematical Biosciences and Engineering
12
1
DOI
出版ステータスPublished - 2月 1 2015

ASJC Scopus subject areas

  • モデリングとシミュレーション
  • 農業および生物科学一般
  • 計算数学
  • 応用数学

フィンガープリント

「Construction of Lyapunov functions for some models of infectious diseases in vivo: From simple models to complex models」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル