| 一类总人口在变化的HIV/AIDS传播的动力学模型 |
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| 引用本文： | 叶海平,丁永生.一类总人口在变化的HIV/AIDS传播的动力学模型[J].生物数学学报,2010(1):51-60. |
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| 作者姓名： | 叶海平 丁永生 |
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| 作者单位： | 东华大学理学院应用数学系;东华大学信息科学与技术学院;数字化纺织服装技术教育部工程研究中心; |
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| 基金项目： | 国家自然科学基金(60975059); 教育部高等学校博士学科点专项科研基金(20060255006); 上海市科学技术委员会重点基础研究项目(08JC1400100); 上海市人才发展资金(001); 上海市领军人才后备人选专项资金; 上海市重点实验室开放课题(06dz22103). |
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| 摘 要： | 建立了HIV/AIDS传播的具有常数移民和指数出生的SI型模型,其中易感人群按照有无不良行为被分为两组.分别对具双线性传染率和具标准传染率的模型讨论了其无病平衡点和地方病平衡点的存在性,并就某些重要的特殊情况进行了平衡点和稳定性的分析.
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| 关 键 词： | HIV AIDS 数学模型 平衡点 稳定性 同值 |
Some Dynamic Models of HIV/AIDS Transmission in a Population with Varying Size |
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| YE Hai-ping DING Yong-sheng.Some Dynamic Models of HIV/AIDS Transmission in a Population with Varying Size[J].Journal of Biomathematics,2010(1):51-60. |
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| Authors: | YE Hai-ping DING Yong-sheng |
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| Institution: | YE Hai-ping~(1,2) DING Yong-sheng~(2,3) (1 Department of Applied Mathematics,Donghua University,Shanghai 201620 China) (2 College of Information Sciences , Technology,Shanghai 201620 China) (3 Engineering Research Center of Digitized Textile & Fashion Technology,Ministry of Education,Shanghai 201620 China) |
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| Abstract: | In this paper we first establish Si-type models of HIV/AIDS transmission with a constant immigration and a exponential birth where the susceptible population is split into two groups according to having bad behavior or not.We then discuss the existence of disease-free equilibrium and endemic equilibrium for the model with the bilinear incidence and the standard incidence respectively.We also perform equilibrium and stability analyses for some important special cases. |
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| Keywords: | HIV AIDS Mathematical model Equilibrium Stability Thresholds |
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