A comparison of delayed SIR and SEIR epidemic models
In epidemiological research literatures, a latent or incubation period can be medelled by incorporating it as a delay effect (delayed SIR models), or by introducing an exposed class (SEIR models). In this paper we propose a comparison of a delayed SIR model and its corresponding SEIR model in terms...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2011-04-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14104 |
| _version_ | 1818337903917400064 |
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| author | Abdelilah Kaddar Abdelhadi Abta Hamad Talibi Alaoui |
| author_facet | Abdelilah Kaddar Abdelhadi Abta Hamad Talibi Alaoui |
| author_sort | Abdelilah Kaddar |
| collection | DOAJ |
| description | In epidemiological research literatures, a latent or incubation period can be medelled by incorporating it as a delay effect (delayed SIR models), or by introducing an exposed class (SEIR models). In this paper we propose a comparison of a delayed SIR model and its corresponding SEIR model in terms of local stability. Also some numerical simulations are given to illustrate the theoretical results. |
| first_indexed | 2024-12-13T15:02:37Z |
| format | Article |
| id | doaj.art-cdca9de9f753497080c49f161a6b4a18 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T15:02:37Z |
| publishDate | 2011-04-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-cdca9de9f753497080c49f161a6b4a182022-12-21T23:41:05ZengVilnius University PressNonlinear Analysis1392-51132335-89632011-04-01162A comparison of delayed SIR and SEIR epidemic modelsAbdelilah Kaddar0Abdelhadi Abta1Hamad Talibi Alaoui2Universite Mohammed V - Souissi, MoroccoUniversite Chouaib Doukkali, MoroccoUniversite Chouaib Doukkali, MoroccoIn epidemiological research literatures, a latent or incubation period can be medelled by incorporating it as a delay effect (delayed SIR models), or by introducing an exposed class (SEIR models). In this paper we propose a comparison of a delayed SIR model and its corresponding SEIR model in terms of local stability. Also some numerical simulations are given to illustrate the theoretical results.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14104SIR epidemic modelincidence ratedelayed differential equationsSEIR modeldelayed SIR modeincubation period |
| spellingShingle | Abdelilah Kaddar Abdelhadi Abta Hamad Talibi Alaoui A comparison of delayed SIR and SEIR epidemic models Nonlinear Analysis SIR epidemic model incidence rate delayed differential equations SEIR model delayed SIR mode incubation period |
| title | A comparison of delayed SIR and SEIR epidemic models |
| title_full | A comparison of delayed SIR and SEIR epidemic models |
| title_fullStr | A comparison of delayed SIR and SEIR epidemic models |
| title_full_unstemmed | A comparison of delayed SIR and SEIR epidemic models |
| title_short | A comparison of delayed SIR and SEIR epidemic models |
| title_sort | comparison of delayed sir and seir epidemic models |
| topic | SIR epidemic model incidence rate delayed differential equations SEIR model delayed SIR mode incubation period |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14104 |
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