Global results for an SIRS model with vaccination and isolation

被引：57
|
作者：
Sun, Chengjun [1 ,2 ,3 ]
Yang, Wei [4 ]
机构：
[1] Univ Manitoba, Dept Math, Winnipeg, MB R3T 2N2, Canada
[2] McGill Univ, Dept Biol, Montreal, PQ H3A 1B1, Canada
[3] Yale Univ, Dept Ecol & Evolutionary Biol, New Haven, CT 06511 USA
[4] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期
关键词：
Vaccination; Isolation; Bifurcation; Uniform persistence; Global stability; INFECTIOUS-DISEASES; EPIDEMIC MODEL; BACKWARD BIFURCATION; CHILDHOOD DISEASES; QUARANTINE; TRANSMISSION; DYNAMICS; IMPACT;
D O I：
10.1016/j.nonrwa.2010.05.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivation is provided for the development of an SIRS epidemiological model with both vaccination and isolation control strategies. The model is then formulated and analyzed. In particular, the conditions for the existence of multiple endemic equilibria are given. The backward bifurcation, forward bifurcation and saddle-node bifurcation are explored. When the control reproduction numbers are below or over unity, local and global stabilities of the disease-free equilibrium and endemic equilibria are proved under certain parameter conditions. The critical vaccination rate and isolation rate are calculated, which determine the disease's endemicity. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4223 / 4237
页数：15
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