A generalization of the Kermack-McKendrick deterministic epidemic model☆
基本再生数
计算机科学
作者
Vincenzo Capasso,Gabriella Serio
出处
期刊:Bellman Prize in Mathematical Biosciences日期:1978-11-01卷期号:42: 43-61被引量:765
标识
DOI:10.1016/0025-5564(78)90006-8
摘要
Abstract In this paper 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.