Subthreshold coexistence of strains: the impact of vaccination and mutation
We consider a model for a disease withtwo competing strains and vaccination.The vaccine provides complete protection against one of the strains(strain 2) but onlypartial protection against the other (strain 1). The partial protection leads toexistence of subthreshold equilibria of strain 1. If the...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2007-01-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.287 |
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| Summary: | We consider a model for a disease withtwo competing strains and vaccination.The vaccine provides complete protection against one of the strains(strain 2) but onlypartial protection against the other (strain 1). The partial protection leads toexistence of subthreshold equilibria of strain 1. If the first strain mutates into the second, there are subthreshold coexistence equilibriawhen both vaccine-dependent reproduction numbers are below one.Thus, a vaccine that is specific toward the second strainand that, in absence of other strains, should be able to eliminatethe second strainby reducing its reproduction number below one,cannot do so because it provides onlypartial protection to another strain that mutates into the second strain. |
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| ISSN: | 1551-0018 |