A note on epidemic models with infective immigrants and vaccination
The roles of immigration and vaccination on disease dynamics are explored in a simple setting that considers the possibility of conferred immunity. We focus on SIR and SIS models with a vaccinated class. Conditions for the existence of multiple endemic steady states and a fold bifurcation are dis...
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| Format: | Article |
| Language: | English |
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AIMS Press
2006-04-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.557 |
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| _version_ | 1832590256172433408 |
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| author | Eunha Shim |
| author_facet | Eunha Shim |
| author_sort | Eunha Shim |
| collection | DOAJ |
| description | The roles of immigration and vaccination on disease dynamics are explored in a simple setting that considers the possibility of conferred immunity. We focus on SIR and SIS models with a vaccinated class. Conditions for the existence of multiple endemic steady states and a fold bifurcation are discussed. |
| format | Article |
| id | doaj-art-612cfc3193534e808e254bf5203d62a0 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2006-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-612cfc3193534e808e254bf5203d62a02025-01-24T01:51:49ZengAIMS PressMathematical Biosciences and Engineering1551-00182006-04-013355756610.3934/mbe.2006.3.557A note on epidemic models with infective immigrants and vaccinationEunha Shim0Department of Mathematics and Statistics, Arizona State University, P.O. Box 871804, Tempe, AZ 85287-1804The roles of immigration and vaccination on disease dynamics are explored in a simple setting that considers the possibility of conferred immunity. We focus on SIR and SIS models with a vaccinated class. Conditions for the existence of multiple endemic steady states and a fold bifurcation are discussed.https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.557epidemic model; vaccination; immigration; sis; sir; fold bifurcation. |
| spellingShingle | Eunha Shim A note on epidemic models with infective immigrants and vaccination Mathematical Biosciences and Engineering epidemic model; vaccination; immigration; sis; sir; fold bifurcation. |
| title | A note on epidemic models with infective immigrants and vaccination |
| title_full | A note on epidemic models with infective immigrants and vaccination |
| title_fullStr | A note on epidemic models with infective immigrants and vaccination |
| title_full_unstemmed | A note on epidemic models with infective immigrants and vaccination |
| title_short | A note on epidemic models with infective immigrants and vaccination |
| title_sort | note on epidemic models with infective immigrants and vaccination |
| topic | epidemic model; vaccination; immigration; sis; sir; fold bifurcation. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2006.3.557 |
| work_keys_str_mv | AT eunhashim anoteonepidemicmodelswithinfectiveimmigrantsandvaccination AT eunhashim noteonepidemicmodelswithinfectiveimmigrantsandvaccination |