ISSN:
1432-1416
Keywords:
Epidemiology
;
Endemic infectious diseases
;
Deterministic models
;
Thresholds
;
Distributed delays
;
Stability
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Summary Endemic infectious diseases for which infection confers permanent immunity are described by a system of nonlinear Volterra integral equations of convolution type. These constant-parameter models include vital dynamics (births and deaths), immunization and distributed infectious period. The models are shown to be well posed, the threshold criteria are determined and the asymptotic behavior is analysed. It is concluded that distributed delays do not change the thresholds and the asymptotic behaviors of the models.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00276034
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