Internal eradicability for an epidemiological model with diffusion
This work is concerned with the analysis of the possibility for eradicating a disease in an infected population. The epidemiological model under study is of SI type with diffusion. We assume the policy strategy acting on the infected individuals over a subset of the whole spatial territory. Using th...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.437 |
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| _version_ | 1832590242269364224 |
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| author | Sebastian Aniţa Bedreddine Ainseba |
| author_facet | Sebastian Aniţa Bedreddine Ainseba |
| author_sort | Sebastian Aniţa |
| collection | DOAJ |
| description | This work is concerned with the analysis of the possibility for eradicating a disease in an infected population. The epidemiological model under study is of SI type with diffusion. We assume the policy strategy acting on the infected individuals over a subset of the whole spatial territory. Using the framework of nonlinear reaction-diffusion equations, and spectral theory of linear differential operators, we give necessary conditions and sufficient conditions of eradicability. |
| format | Article |
| id | doaj-art-2a19a44ef5b34b89bc1edd95f6e05157 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-2a19a44ef5b34b89bc1edd95f6e051572025-01-24T01:49:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-07-012343744310.3934/mbe.2005.2.437Internal eradicability for an epidemiological model with diffusionSebastian Aniţa0Bedreddine Ainseba1Faculty of Mathematics, University “Al.I. Cuza” and, Institute of Mathematics “Octav Mayer”, Iaşi 700506Mathématiques Appliquées de Bordeaux, UMR CNRS 5466, case 26, Université Bordeaux 2, 33076 Bordeaux CedexThis work is concerned with the analysis of the possibility for eradicating a disease in an infected population. The epidemiological model under study is of SI type with diffusion. We assume the policy strategy acting on the infected individuals over a subset of the whole spatial territory. Using the framework of nonlinear reaction-diffusion equations, and spectral theory of linear differential operators, we give necessary conditions and sufficient conditions of eradicability.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.437controllability.si epidemic model with diffusioneradicability |
| spellingShingle | Sebastian Aniţa Bedreddine Ainseba Internal eradicability for an epidemiological model with diffusion Mathematical Biosciences and Engineering controllability. si epidemic model with diffusion eradicability |
| title | Internal eradicability for an epidemiological model with diffusion |
| title_full | Internal eradicability for an epidemiological model with diffusion |
| title_fullStr | Internal eradicability for an epidemiological model with diffusion |
| title_full_unstemmed | Internal eradicability for an epidemiological model with diffusion |
| title_short | Internal eradicability for an epidemiological model with diffusion |
| title_sort | internal eradicability for an epidemiological model with diffusion |
| topic | controllability. si epidemic model with diffusion eradicability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.437 |
| work_keys_str_mv | AT sebastiananita internaleradicabilityforanepidemiologicalmodelwithdiffusion AT bedreddineainseba internaleradicabilityforanepidemiologicalmodelwithdiffusion |