具有连续接种策略的猪流感流行病模型的全局稳定性（英文）  

Global stability of a swine influenza epidemic model with continuous vaccination strategy

作　　者：祖建[1] 侯冬梅[2] 

机构地区：[1]西安交通大学数学与统计学院,西安710049 [2]绥化学院数学与信息学院,绥化152061

出　　处：《黑龙江大学自然科学学报》2013年第5期576-581,588,共7页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Natural Science Foundation of China(11201368);the Fundamental Research Funds for the Central Universities(Xi’an Jiaotong University);the Science and Technology Research Project of the Department of Education of Heilongjiang Province(12531495)

摘　　要：研究一类具有连续接种策略猪流感流行病模型的全局动力学行为,其中包含出生接种和其他年龄接种策略。证明模型平衡点的动力学行为完全由基本再生数决定。利用李雅普诺夫函数方法证明平衡点的全局稳定性。A mathematical model for the spread of the swine influenza, including two vaccination strategies （ i. e., vaccination at births and vaccination at other age people）, is developed. It is shown that the global properties of the equilibria are completely determined by the basic reproduction numbers R0 and r0. The proof of global stability of the equilibria utilizes the method of Lyapunov functions.

关 键 词：流行病模型 猪流感 接种策略 全局稳定性 李雅普诺夫函数 

分 类 号：O189.1[理学—数学]