Melnik, A. V. and Korobeinikov, A. (2013) Lyapunov functions and global stability for SIR and SEIR models with age-dependent susceptibility. Mathematical Biosciences and Engineering, 10(2), pp. 369-378. (doi: 10.3934/mbe.2013.10.369) (PMID:23458305)
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Abstract
We consider global asymptotic properties for the SIR and SEIR age structured models for infectious diseases where the susceptibility depends on the age. Using the direct Lyapunov method with Volterra type Lyapunov functions, we establish conditions for the global stability of a unique endemic steady state and the infection-free steady state.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Melnik, Dr Andrey |
| Authors: | Melnik, A. V., and Korobeinikov, 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 January 2013 |
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