一类有意识分类的艾滋病性传播模型的稳定性分析  

Stability analysis of an HIV/AIDS epidemic model with awareness and sexual transmission

作　　者：代帆 刘小佑[1,2] DAI Fan;LIU Xiaoyou(School of Mathematics and Physics,University of South China,Hengyang 421001,China;School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan 411201,China)

机构地区：[1]南华大学数理学院,湖南衡阳421001 [2]湖南科技大学数学与计算科学学院,湖南湘潭411201

出　　处：《邵阳学院学报（自然科学版）》2020年第1期6-12,共7页Journal of Shaoyang University：Natural Science Edition

基　　金：国家自然科学基金青年项目(11501284);湖南省教育厅科学研究优秀青年项目(16B224)

摘　　要：统计数据表明性接触是目前艾滋病(AIDS)最主要的传播途径之一。文中提出了一类具有意识分类和男男同性性关系的艾滋病传播模型,并讨论了该模型无病平衡点和地方病平衡点的存在性和稳定性。Statistics show that sexual contact is one of the most important ways of AIDS transmission.In this paper,an AIDS epidemic model with awareness and sexual transmission was considered.The existence and stability of disease-free equilibrium points and endemic equilibrium points were discussed.

关 键 词：HIV/AIDS流行病模型 意识分类 性传播 稳定性 

分 类 号：O175.1[理学—数学]