一类传染病持续生存和消亡的阈值  

A Class of Infectious Diseases Continued Survive and Extinction Thresholds

作　　者：冯光庭[1] 张兴安[2] 

机构地区：[1]湖北第二师范学院数学与数量经济学院,湖北武汉430205 [2]华中师范大学数学与统计学学院,湖北武汉430079

出　　处：《数学的实践与认识》2010年第13期138-143,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10771081)

摘　　要：利用齐次向量场与其诱导向量场的关系对一类传染病模型进行了进一步研究,讨论了其平衡点的存在性和稳定性,求出了该类传染病持续生存和最终消亡的阈值.The use of the relationship between homogeneous vector field and its induced vector field for the further research for the model of a class of infectious diseases, discussed the existence and stability of its equilibrium point, found the kinds of infectious diseases continue to survive and enventually extinction threshold.

关 键 词：传染病 齐次向量场 平衡点 阈值 

分 类 号：O242.1[理学—计算数学]