INTEGRAL-EQUATION MODELS FOR ENDEMIC INFECTIOUS-DISEASES
INTEGRAL-EQUATION MODELS FOR ENDEMIC INFECTIOUS-DISEASES
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DOI：
10.1007/bf00276034
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发表时间：
1980-01-01
影响因子：
1.9
通讯作者：
TUDOR, DW
中科院分区：
文献类型：
--
作者：
HETHCOTE, HW;TUDOR, DW
地方性传染病的感染赋予永久性免疫力的卷积型的非线性沃尔泰拉积分方程系统描述。这些常参数模型包括生命动力学（出生和死亡），免疫接种和分布传染期。模型被证明是适定的，阈值标准的确定和渐近行为进行了分析。结果表明，分布时滞不改变模型的阈值和渐近行为。
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.