GENERALIZATION OF THE KERMACK-MCKENDRICK DETERMINISTIC EPIDEMIC MODEL
GENERALIZATION OF THE KERMACK-MCKENDRICK DETERMINISTIC EPIDEMIC MODEL
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DOI：
10.1016/0025-5564(78)90006-8
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发表时间：
1978-01-01
影响因子：
4.3
通讯作者：
SERIO, G
中科院分区：
文献类型：
--
作者：
CAPASSO, V;SERIO, G
Kermack-McKendrick 确定性模型得到了推广，引入了一个交互项，其中对感染者数量的依赖性通过非线性有界函数发生，该函数可以考虑大量感染者的饱和现象。对系统平衡点进行稳定性分析后，得到了众所周知的阈值定理的扩展。并通过数值算例进行了详细的说明。
The Kermack-McKendrick deterministic model is generalized, introducing an interaction term in which the dependence upon the number of infectives occurs via a nonlinear bounded function which may take into account saturation phenomena for large numbers of infectives. An extension of the well-known threshold theorem is obtained after a stability analysis of the equilibrium points of the system. A numerical example is carried out in detail.