An immunization model for a heterogeneous population
Theoretical Population BiologyPublished 1 December 1978
Herbert W. Hethcote
Citations225
SJR quartileQ2
SJR score0.56
SNIP0.74
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TL;DR
The threshold criterion obtained for the nonlinear differential equation model can be used to determine the immunization rates which will cause the disease to die out.
Abstract
A model for the spread of an infectious disease for which recovery gives temporary or permanent immunity is analysed. A heterogeneous population is divided into homogeneous groups in which immunization of newborns and of susceptibles of all ages is possible. Births and deaths occur at equal rates in each group and all newborns are susceptible. The threshold criterion obtained for the nonlinear differential equation model can be used to determine the immunization rates which will cause the disease to die out.
Keywords
MathematicsMedicine
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