An age-structured two-strain epidemic modelwith super-infection
This articlefocuses on the study of an age-structuredtwo-strain model with super-infection. The explicit expression ofbasic reproduction numbers and the invasion reproduction numberscorresponding to strain one and strain two are obtained. It isshown that the infection-free steady state is globally s...
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| Format: | Article |
| Language: | English |
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AIMS Press
2009-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.123 |
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| _version_ | 1832590213904334848 |
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| author | Xue-Zhi Li Ji-Xuan Liu Maia Martcheva |
| author_facet | Xue-Zhi Li Ji-Xuan Liu Maia Martcheva |
| author_sort | Xue-Zhi Li |
| collection | DOAJ |
| description | This articlefocuses on the study of an age-structuredtwo-strain model with super-infection. The explicit expression ofbasic reproduction numbers and the invasion reproduction numberscorresponding to strain one and strain two are obtained. It isshown that the infection-free steady state is globally stable ifthe basic reproductive number $ R_0 $ is below one. Existenceof strain one and strain two exclusive equilibria is established.Conditions for local stability or instability of the exclusive equilibria of thestrain one and strain two are established. Existence ofcoexistence equilibrium is also obtained under the condition that bothinvasion reproduction numbers are larger than one. |
| format | Article |
| id | doaj-art-c6838985ab7d4c878d7d22df62168591 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-c6838985ab7d4c878d7d22df621685912025-01-24T02:00:16ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-12-017112314710.3934/mbe.2010.7.123An age-structured two-strain epidemic modelwith super-infectionXue-Zhi Li0Ji-Xuan Liu1Maia Martcheva2Department of Mathematics, Xinyang Normal University, Xinyang 464000Department of Mathematics, Xinyang Normal University, Xinyang 464000Department of Mathematics, Xinyang Normal University, Xinyang 464000This articlefocuses on the study of an age-structuredtwo-strain model with super-infection. The explicit expression ofbasic reproduction numbers and the invasion reproduction numberscorresponding to strain one and strain two are obtained. It isshown that the infection-free steady state is globally stable ifthe basic reproductive number $ R_0 $ is below one. Existenceof strain one and strain two exclusive equilibria is established.Conditions for local stability or instability of the exclusive equilibria of thestrain one and strain two are established. Existence ofcoexistence equilibrium is also obtained under the condition that bothinvasion reproduction numbers are larger than one.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.123age-structuredcoexistenceequilibriumtwo-strain epidemicmodelsuper-infectionbasic reproduction numberstability.invasionreproduction numberexclusive equilibrium |
| spellingShingle | Xue-Zhi Li Ji-Xuan Liu Maia Martcheva An age-structured two-strain epidemic modelwith super-infection Mathematical Biosciences and Engineering age-structured coexistenceequilibrium two-strain epidemicmodel super-infection basic reproduction number stability. invasionreproduction number exclusive equilibrium |
| title | An age-structured two-strain epidemic modelwith super-infection |
| title_full | An age-structured two-strain epidemic modelwith super-infection |
| title_fullStr | An age-structured two-strain epidemic modelwith super-infection |
| title_full_unstemmed | An age-structured two-strain epidemic modelwith super-infection |
| title_short | An age-structured two-strain epidemic modelwith super-infection |
| title_sort | age structured two strain epidemic modelwith super infection |
| topic | age-structured coexistenceequilibrium two-strain epidemicmodel super-infection basic reproduction number stability. invasionreproduction number exclusive equilibrium |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.123 |
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