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Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10314/4076
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| Título: | A Consistent Discrete Version of a Nonautonomous SIRVS Model |
| Autores: | Mateus, Joaquim
Silva, César
Vaz, Sandra |
| Palavras Chave: | Epidemic model
Non-autonomous
Global stability
numerical method |
| Data: | 24-Jun-2018 |
| Editora: | Discrete Dynamics in Nature and Society |
| Citação: | Joaquim Mateus, César M. Silva, and S. Vaz, “A Consistent Discrete Version of a Nonautonomous SIRVS Model,” Discrete Dynamics in Nature and Society, vol. 2018, Article ID 8152032, 18 pages, 2018. https://doi.org/10.1155/2018/8152032. |
| Relatório da Série N.º: | Volume 2018
Article ID 8152032 |
| Resumo: | A family of discrete nonautonomous SIRVS models with general incidence is obtained from a continuous family of models by applyingMickens nonstandard discretizationmethod. Conditions for the permanence and extinction of the disease and the stability of disease-free solutions are determined. Concerning extinction and persistence, the consistency of those discrete models with the corresponding continuous model is discussed: if the time step is sufficiently small, when we have extinction (permanence) for the continuous model, we also have extinction (permanence) for the corresponding discrete model. Some numerical simulations are carried out to compare the different possible discretizations of our continuous model using real data. |
| URI: | http://hdl.handle.net/10314/4076 |
| ISSN: | 10260226, 1607887 |
| Aparece nas Colecções: | Artigos em Revista Internacional (ESTG)
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Ficheiros deste Registo:
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Descrição |
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| 8152032.pdf | | 2152Kb | Adobe PDF | Ver/Abrir | |
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