Global stability of a multistrain SIS model with superinfection
In this paper, we study the global stability of a multistrain SIS model with superinfection. We present an iterative procedure to calculate a sequence of reproduction numbers, and we prove that it completely determines the global dynamics of the system. We show that for any number of strains with di...
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| Format: | Article |
| Language: | English |
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AIMS Press
2017-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2017026 |
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| author | Attila Dénes Yoshiaki Muroya Gergely Röst |
| author_facet | Attila Dénes Yoshiaki Muroya Gergely Röst |
| author_sort | Attila Dénes |
| collection | DOAJ |
| description | In this paper, we study the global stability of a multistrain SIS model with superinfection. We present an iterative procedure to calculate a sequence of reproduction numbers, and we prove that it completely determines the global dynamics of the system. We show that for any number of strains with different infectivities, the stable coexistence of any subset of the strains is possible, and we completely characterize all scenarios. As an example, we apply our method to a three-strain model. |
| format | Article |
| id | doaj-art-61a296be39784f6eab49c5fcb2c79af8 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2017-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-61a296be39784f6eab49c5fcb2c79af82025-01-24T02:39:37ZengAIMS PressMathematical Biosciences and Engineering1551-00182017-03-0114242143510.3934/mbe.2017026Global stability of a multistrain SIS model with superinfectionAttila Dénes0Yoshiaki Muroya1Gergely Röst2Bolyai Institute, University of Szeged, Aradi vértanúk tere 1., Szeged, H-6720, HungaryDepartment of Mathematics, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, JapanBolyai Institute, University of Szeged, Aradi vértanúk tere 1., Szeged, H-6720, HungaryIn this paper, we study the global stability of a multistrain SIS model with superinfection. We present an iterative procedure to calculate a sequence of reproduction numbers, and we prove that it completely determines the global dynamics of the system. We show that for any number of strains with different infectivities, the stable coexistence of any subset of the strains is possible, and we completely characterize all scenarios. As an example, we apply our method to a three-strain model.https://www.aimspress.com/article/doi/10.3934/mbe.2017026epidemic modelmultistrain modelsis dynamicsasymptotically autonomous systemsglobal stabilitysuperinfection |
| spellingShingle | Attila Dénes Yoshiaki Muroya Gergely Röst Global stability of a multistrain SIS model with superinfection Mathematical Biosciences and Engineering epidemic model multistrain model sis dynamics asymptotically autonomous systems global stability superinfection |
| title | Global stability of a multistrain SIS model with superinfection |
| title_full | Global stability of a multistrain SIS model with superinfection |
| title_fullStr | Global stability of a multistrain SIS model with superinfection |
| title_full_unstemmed | Global stability of a multistrain SIS model with superinfection |
| title_short | Global stability of a multistrain SIS model with superinfection |
| title_sort | global stability of a multistrain sis model with superinfection |
| topic | epidemic model multistrain model sis dynamics asymptotically autonomous systems global stability superinfection |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2017026 |
| work_keys_str_mv | AT attiladenes globalstabilityofamultistrainsismodelwithsuperinfection AT yoshiakimuroya globalstabilityofamultistrainsismodelwithsuperinfection AT gergelyrost globalstabilityofamultistrainsismodelwithsuperinfection |