摘要
用摄动理论研究了一类带有阶段结构的传染病动力学模型.对相应的非线性系统,得到了不同群体生存变化的渐近表达式.通过分析解的表达式揭示了各种因素对不同群体生存影响的规律,从而为预防相关类型传染病传播提供了相应的理论依据.文章的研究为解决这一类非线性模型提供了一种有效的方法.
A class of epidemic model with a stage structure is researched grounded on the perturbation theory. The asymptotic expansion for the livability of each group is obtained in the corresponding nonlinear system. By analyzing the expressions of the solution, the regularity of various factors affecting the livability of each group is discovered. The theoretical basis is provided for the prevention in the spread of infectious diseases related to the type. Thus, an effective method is given in the paper to estimate the solution of some class of nonlinear problems.
出处
《绍兴文理学院学报》
2010年第10期25-29,共5页
Journal of Shaoxing University
基金
国家自然科学基金项目(11071205)
浙江省自然科学基金项目(Y6090164)
国家特色专业建设点"数学与应用数学"资助
关键词
阶段结构
非线性系统
动力学模型
渐近分析
stage structure
nonlinear systems
dynamic model
asymptotic analysis
