Persistence of an SEIR Model with Immigration Dependent on the Prevalence of Infection

Autor: Wenjuan Wang, Jingqi Xin, Fengqin Zhang
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