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

Wenjuan Wang, Jingqi Xin and Fengqin Zhang

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-7

Abstract:

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, , is found, which determines that the disease is either extinct or persistent ultimately. The obtained results show that the disease becomes extinct as and persists in the population as .

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:727168

DOI: 10.1155/2010/727168

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