SEIR epidemiological model with varying infectivity and infinite delay
A new SEIR model with distributed infinite delay is derived whenthe infectivity depends on the age of infection. The basic reproduction numberR0, which is a threshold quantity for the stability of equilibria, is calculated.If $R_0$ 1, then an endemicequilibrium appears which is locally asymptotical...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2008-02-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.389 |
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| Summary: | A new SEIR model with distributed infinite delay is derived whenthe infectivity depends on the age of infection. The basic reproduction numberR0, which is a threshold quantity for the stability of equilibria, is calculated.If $R_0$ 1, then an endemicequilibrium appears which is locally asymptotically stable. Applying a perma-nence theorem for infinite dimensional systems, we obtain that the disease isalways present when $R_0$ > 1. |
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| ISSN: | 1551-0018 |