GLOBAL STABILITY OF AN SIS EPIDEMIC MODEL WITH A FINITE INFECTIOUS PERIOD

被引：0
|
作者：
Nakata, Yukihiko [1 ]
Rost, Gergely [2 ]
机构：
[1] Shimane Univ, Dept Math, 1060 Nishikawatsu Cho, Matsue, Shimane 6908504, Japan
[2] Univ Szeged, Bolyai Inst, Aradi Vertanuk Tere 1, H-6720 Szeged, Hungary
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2018年 / 31卷 / 3-4期
基金：
日本学术振兴会; 欧洲研究理事会;
关键词：
INFINITE DELAY; BIFURCATION; POPULATION; EQUATIONS; SIZE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Assuming a general distribution for the sojourn time in the infectious class, we consider an SIS type epidemic model formulated as a scalar integral equation. We prove that the endemic equilibrium of the model is globally asymptotically stable whenever it exists, solving the conjecture of Hethcote and van den Driessche (1995) for the case of nonfatal diseases.
引用
收藏
页码：161 / 172
页数：12
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