Construction of Lyapunov functionals for delay differential equations in virology and epidemiology

Tsuyoshi Kajiwara, Toru Sasaki, Yasuhiro Takeuchi

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

In the present paper, we present a method for constructing a Lyapunov functional for some delay differential equations in virology and epidemiology. Here some delays are incorporated to the original ordinary differential equations, for which a Lyapunov function is already obtained. We present simple and clear explanation of our method using some models whose Lyapunov functionals are already obtained. Moreover, we present several new results for constructing Lyapunov functionals using our method.

Original languageEnglish
Pages (from-to)1802-1826
Number of pages25
JournalNonlinear Analysis: Real World Applications
Volume13
Issue number4
DOIs
Publication statusPublished - Aug 2012

Fingerprint

Epidemiology
Lyapunov Functionals
Virology
Lyapunov functions
Delay Differential Equations
Ordinary differential equations
Differential equations
Lyapunov Functional
Lyapunov Function
Ordinary differential equation
Delay differential equations
Model

Keywords

  • Delay differential equations
  • Epidemiology
  • Lyapunov functionals
  • Virology

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Computational Mathematics
  • Engineering(all)
  • Medicine(all)
  • Economics, Econometrics and Finance(all)

Cite this

Construction of Lyapunov functionals for delay differential equations in virology and epidemiology. / Kajiwara, Tsuyoshi; Sasaki, Toru; Takeuchi, Yasuhiro.

In: Nonlinear Analysis: Real World Applications, Vol. 13, No. 4, 08.2012, p. 1802-1826.

Research output: Contribution to journalArticle

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