Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators

被引：60
作者：
Thieme, Horst R. [1 ]
机构：
[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85287 USA
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 09期
关键词：
Volterra Lyapunov function (Global) compact attractor; Uniform persistence; Extinction; Threshold behavior; Nonlinear incidence; SIR EPIDEMIC MODEL; NONLINEAR INCIDENCE; INTRACELLULAR DELAYS; ASYMPTOTIC STABILITY; DYNAMICS; INFECTION; BEHAVIOR; TRANSMISSION; PERSISTENCE; SYSTEMS;
D O I：
10.1016/j.jde.2011.01.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The global stability of the endemic equilibrium is shown for an endemic model with infinite-dimensional population structure using a Volterra like Lyapunov function and the Krein-Rutman theorem. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：3772 / 3801
页数：30
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