Imitation dynamics of vaccine decision-making behaviours based on the game theory

被引：11
作者：
Yang, Junyuan [1 ]
Martcheva, Maia [2 ]
Chen, Yuming [1 ,3 ]
机构：
[1] Yuncheng Univ, Dept Appl Math, Yuncheng, Shanxi, Peoples R China
[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA
[3] Wilfrid Laurier Univ, Dept Math, Ontario, ON N2L 3C5, Canada
来源：
JOURNAL OF BIOLOGICAL DYNAMICS | 2016年 / 10卷 / 01期
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
SIR model; game theory; decision-making; stability; Hopf bifurcation; STABILITY; SYSTEMS; MODEL;
D O I：
10.1080/17513758.2015.1099749
中图分类号：
Q14 [生态学（生物生态学）];
学科分类号：
071012 ; 0713 ;
摘要：
Based on game theory, we propose an age-structured model to investigate the imitation dynamics of vaccine uptake. We first obtain the existence and local stability of equilibria. We show that Hopf bifurcation can occur. We also establish the global stability of the boundary equilibria and persistence of the disease. The theoretical results are supported by numerical simulations.
引用
收藏
页码：31 / 58
页数：28
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