On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible
A new discrete susceptible-exposed-infectious-recovered (SEIR) epidemic model is presented subject to a feedback vaccination effort involving two doses. Both vaccination doses, which are subject to a non-necessarily identical effectiveness, are administrated by respecting a certain mutual delay inte...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-04-01
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| Series: | Vaccines |
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| Online Access: | https://www.mdpi.com/2076-393X/9/4/398 |
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| author | Manuel De la Sen Santiago Alonso-Quesada Asier Ibeas Raul Nistal |
| author_facet | Manuel De la Sen Santiago Alonso-Quesada Asier Ibeas Raul Nistal |
| author_sort | Manuel De la Sen |
| collection | DOAJ |
| description | A new discrete susceptible-exposed-infectious-recovered (SEIR) epidemic model is presented subject to a feedback vaccination effort involving two doses. Both vaccination doses, which are subject to a non-necessarily identical effectiveness, are administrated by respecting a certain mutual delay interval, and their immunity effect is registered after a certain delay since the second dose. The delays and the efficacies of the doses are parameters, which can be fixed in the model for each concrete experimentation. The disease-free equilibrium point is characterized as well as its stability properties, while it is seen that no endemic equilibrium point exists. The exposed subpopulation is supposed to be infective eventually, under a distinct transmission rate of that of the infectious subpopulation. Some simulation examples are presented by using disease parameterizations of the COVID-19 pandemic under vaccination efforts requiring two doses. |
| first_indexed | 2024-03-10T12:13:55Z |
| format | Article |
| id | doaj.art-e0f32d93eb1d4d16b3b7ffeb7941049c |
| institution | Directory Open Access Journal |
| issn | 2076-393X |
| language | English |
| last_indexed | 2024-03-10T12:13:55Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Vaccines |
| spelling | doaj.art-e0f32d93eb1d4d16b3b7ffeb7941049c2023-11-21T16:03:33ZengMDPI AGVaccines2076-393X2021-04-019439810.3390/vaccines9040398On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the SusceptibleManuel De la Sen0Santiago Alonso-Quesada1Asier Ibeas2Raul Nistal3Faculty of Science and Technology, Institute of Research and Development of Processes IIDP, University of the Basque Country, Barrio Sarriena, 48940 Leioa, SpainFaculty of Science and Technology, Institute of Research and Development of Processes IIDP, University of the Basque Country, Barrio Sarriena, 48940 Leioa, SpainDepartment of Telecommunications and Systems Engineering, Universitat Autònoma de Barcelona, UAB, 08193 Barcelona, SpainFaculty of Science and Technology, Institute of Research and Development of Processes IIDP, University of the Basque Country, Barrio Sarriena, 48940 Leioa, SpainA new discrete susceptible-exposed-infectious-recovered (SEIR) epidemic model is presented subject to a feedback vaccination effort involving two doses. Both vaccination doses, which are subject to a non-necessarily identical effectiveness, are administrated by respecting a certain mutual delay interval, and their immunity effect is registered after a certain delay since the second dose. The delays and the efficacies of the doses are parameters, which can be fixed in the model for each concrete experimentation. The disease-free equilibrium point is characterized as well as its stability properties, while it is seen that no endemic equilibrium point exists. The exposed subpopulation is supposed to be infective eventually, under a distinct transmission rate of that of the infectious subpopulation. Some simulation examples are presented by using disease parameterizations of the COVID-19 pandemic under vaccination efforts requiring two doses.https://www.mdpi.com/2076-393X/9/4/398discrete epidemic modeldelayed feedback vaccination controlvaccination dosesCOVID-19 pandemic |
| spellingShingle | Manuel De la Sen Santiago Alonso-Quesada Asier Ibeas Raul Nistal On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible Vaccines discrete epidemic model delayed feedback vaccination control vaccination doses COVID-19 pandemic |
| title | On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible |
| title_full | On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible |
| title_fullStr | On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible |
| title_full_unstemmed | On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible |
| title_short | On a Discrete SEIR Epidemic Model with Two-Doses Delayed Feedback Vaccination Control on the Susceptible |
| title_sort | on a discrete seir epidemic model with two doses delayed feedback vaccination control on the susceptible |
| topic | discrete epidemic model delayed feedback vaccination control vaccination doses COVID-19 pandemic |
| url | https://www.mdpi.com/2076-393X/9/4/398 |
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