一类流行病数学模型的讨论  

A brief discussion of the mathematical model for a kind of epidemic diseases

作　　者：赵文园[1] 刘本耀 沈伯骞[1] 

机构地区：[1]辽宁师范大学 [2]大连工人大学

出　　处：《大连海事大学学报》1998年第1期97-101,共5页Journal of Dalian Maritime University

基　　金：辽宁省自然科学基金

摘　　要：讨论了一类一般情况下的流行病数学模型，解决了当ｐ、ｑ为ｐ＞１，ｑ＞０的一般整数时，其正平衡点的坐标无法清确表达的矛盾，应用Ｈｏｐｆ分支通过具体例子说明了此类系统至少可以存在两个极限环．A mathematical model for a kind of epidemic diseases has been examined, and the solution has been found for the expression of the coordinates of this model where p and q are positive integrals. And it is illustrated by practical examples of Hopf brance that there are at least two limit circles in this kind of systems.

关 键 词：流行病 数学模型 HOPF分支 极限环 

分 类 号：R18[医药卫生—流行病学] O29[医药卫生—公共卫生与预防医学]