Persistence of an SEIR Model with Immigration Dependent on the Prevalence of Infection
Autor: | Wenjuan Wang, Jingqi Xin, Fengqin Zhang |
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Jazyk: | angličtina |
Rok vydání: | 2010 |
Předmět: | |
Zdroj: | Discrete Dynamics in Nature and Society, Vol 2010 (2010) |
Druh dokumentu: | article |
ISSN: | 1026-0226 1607-887X |
DOI: | 10.1155/2010/727168 |
Popis: | We incorporate the immigration of susceptible individuals into an SEIR epidemic model, assuming that the immigration rate decreases as the spread of infection increases. For this model, the basic reproduction number, R0, is found, which determines that the disease is either extinct or persistent ultimately. The obtained results show that the disease becomes extinct as R01. |
Databáze: | Directory of Open Access Journals |
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