2017年3月
LYAPUNOV FUNCTIONALS FOR MULTISTRAIN MODELS WITH INFINITE DELAY
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
- ,
- ,
- 巻
- 22
- 号
- 2
- 開始ページ
- 507
- 終了ページ
- 536
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.3934/dcdsb.2017025
- 出版者・発行元
- AMER INST MATHEMATICAL SCIENCES-AIMS
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.
- リンク情報
- ID情報
-
- DOI : 10.3934/dcdsb.2017025
- ISSN : 1531-3492
- eISSN : 1553-524X
- Web of Science ID : WOS:000390100100014