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Artigos em Revista Internacional (ESTG) >
Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10314/3946
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| Título: | Existence of periodic solutions of a periodic SEIRS model with general incidence. |
| Autores: | Mateus, Joaquim
Silva, César |
| Palavras Chave: | Epidemic model Periodic Stability |
| Data: | 15-Apr-2017 |
| Editora: | Nonlinear Analysis: Real World Applications |
| Resumo: | For a family of periodic SEIRS models with general incidence, we prove the existence
of at least one endemic periodic orbit when some condition related to R0 holds.
Additionally, we prove the existence of a unique disease-free periodic orbit, that
is globally asymptotically stable when R0 < 1. In particular, our main result
generalizes the one in Zhang et al. (2012). We also discuss some examples where
our results apply and show that, in some particular situations, we have a sharp
threshold between existence and non existence of an endemic periodic orbit. |
| URI: | http://hdl.handle.net/10314/3946 |
| ISSN: | doi.org/10.1016/j.nonrwa.2016.09.013 |
| Aparece nas Colecções: | Artigos em Revista Internacional (ESTG)
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Ficheiros deste Registo:
| Ficheiro |
Descrição |
Tamanho | Formato |
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| mateus324a.pdf | | 819Kb | Adobe PDF | Ver/Abrir | |
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