传染病动力学生态模型的渐近分析  

Asymptotic Analysis of Epidemical Dynamic Ecotogical Model

作　　者：莫嘉琪[1] 何铭[2] 谢峰[2] 

机构地区：[1]安徽师范大学数学系,安徽省芜湖241000 [2]上海高校计算科学E-研究院上海交通大学E-研究所

出　　处：《吉林大学学报（理学版）》2006年第6期873-877,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:9011101110471039);国家重点基础研究发展计划项目基金(批准号:2003CB415101-032004CB418304);中国科学院创新方向项目基金(批准号:KZCX3-SW-221);上海市教委E-研究院建设计划项目基金(批准号:N.E03004)

摘　　要：研究一类流行性传染病的传播动力学生态模型.首先建立相应模型满足的微分方程;其次构造一组泛函,并计算出它们的变分;然后利用变分原理决定相应的Lagrange参数;最后利用迭代理论得到原问题解的迭代公式,从而利用迭代方法求得相应模型的近似解.A class of epidemic described. Firstly, the differential contagion is considered. The transmissive dynamic ecological model is equations are established for the corresponding model. Secondly, a series of function is constructed and their variations are calculated out. And via the variational principle the I,agrange parameters are decided. Finally, the iteration formulas for the solution of the original are obtained by means of the iteration theory. Thus the approximate solution of the corresponding model is obtained with the iteration method.

关 键 词：流行性传染病 非线性 传播动力学模型 变分迭代 

分 类 号：O175.14[理学—数学]