Korobeinikov, A. and Melnik, A. (2011) Global asymptotic properties of staged models with multiple progression pathways for infectious diseases. Mathematical Biosciences and Engineering, 8(4), pp. 1019-1034. (doi: 10.3934/mbe.2011.8.1019) (PMID:21936598)
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Abstract
We consider global asymptotic properties of compartment staged-progression models for infectious diseases with long infectious period, where there are multiple alternative disease progression pathways and branching. For example, these models reflect cases when there is considerable difference in virulence, or when only a part of the infected individuals undergoes a treatment whereas the rest remains untreated. Using the direct Lyapunov method, we establish sufficient and necessary conditions for the existence and global stability of a unique endemic equilibrium state, and for the stability of an infection-free equilibrium state.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Melnik, Dr Andrey |
| Authors: | Korobeinikov, A., and Melnik, A. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematical Biosciences and Engineering |
| Publisher: | American Institute of Mathematical Sciences |
| ISSN: | 1547-1063 |
| ISSN (Online): | 1551-0018 |
| Published Online: | 01 August 2011 |
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