Construction of Lyapunov functions for some models of infectious diseases in vivo: From simple models to complex models
We present a constructive method for Lyapunov functions forordinary 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 thoseof simpler models. Especially, we construct Lyapuno...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2014-11-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.117 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We present a constructive method for Lyapunov functions forordinary 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 thoseof simpler models. Especially, we construct Lyapunov functions for modelswith an immune variable from those for models without an immunevariable, a Lyapunov functions of a model with absorption effectfrom that for a model without absorption effect. We make theconstruction clear for Lyapunov functions proposed previously, andpresent new results with our method. |
|---|---|
| ISSN: | 1551-0018 |