Lyapunov functionals for multistrain models with infinite delay

Yoji Otani, Tsuyoshi Kajiwara, Toru Sasaki

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We construct Lyapunov functionals for delay differential equation models of infectious diseases in vivo to analyze the stability of the equilibria. The Lyapunov functionals contain the terms that integrate over all previous states. An appropriate evaluation of the logarithm functions in those terms guarantees the existence of the integrals. We apply the rigorous analysis for the one-strain models to multistrain models by using mathematical induction.

Original languageEnglish
Pages (from-to)507-536
Number of pages30
JournalDiscrete and Continuous Dynamical Systems - Series B
Issue number2
Publication statusPublished - Mar 2017


  • Delay differential equation
  • Global stability
  • Infinitely distributed delay
  • Lyapunov functional
  • Multistrain
  • Virus-immune model

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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