Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds
We study a model of disease transmission with continuous age-structure for latentlyinfected individuals and for infectious individuals and with immigration of new individualsinto the susceptible, latent and infectious classes. The model is very appropriate for tuberculosis.A Lyapunov functional is...
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| Format: | Article |
| Language: | English |
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AIMS Press
2015-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015008 |
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| author | C. Connell McCluskey |
| author_facet | C. Connell McCluskey |
| author_sort | C. Connell McCluskey |
| collection | DOAJ |
| description | We study a model of disease transmission with continuous age-structure for latentlyinfected individuals and for infectious individuals and with immigration of new individualsinto the susceptible, latent and infectious classes. The model is very appropriate for tuberculosis.A Lyapunov functional is used to show that the unique endemic equilibrium is globally stablefor all parameter values. |
| format | Article |
| id | doaj-art-4f1b5ac593f74426852669852993b610 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-4f1b5ac593f74426852669852993b6102025-01-24T02:35:04ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-12-0113238140010.3934/mbe.2015008Global stability for an $SEI$ model of infectious disease with age structure and immigration of infectedsC. Connell McCluskey0Department of Mathematics, Wilfrid Laurier University, Waterloo, OntarioWe study a model of disease transmission with continuous age-structure for latentlyinfected individuals and for infectious individuals and with immigration of new individualsinto the susceptible, latent and infectious classes. The model is very appropriate for tuberculosis.A Lyapunov functional is used to show that the unique endemic equilibrium is globally stablefor all parameter values.https://www.aimspress.com/article/doi/10.3934/mbe.2015008lyapunov functionaltuberculosis.immigrationepidemiologyage-structureglobal stability |
| spellingShingle | C. Connell McCluskey Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds Mathematical Biosciences and Engineering lyapunov functional tuberculosis. immigration epidemiology age-structure global stability |
| title | Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds |
| title_full | Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds |
| title_fullStr | Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds |
| title_full_unstemmed | Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds |
| title_short | Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds |
| title_sort | global stability for an sei model of infectious disease with age structure and immigration of infecteds |
| topic | lyapunov functional tuberculosis. immigration epidemiology age-structure global stability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015008 |
| work_keys_str_mv | AT cconnellmccluskey globalstabilityforanseimodelofinfectiousdiseasewithagestructureandimmigrationofinfecteds |