一个具有治疗的霍乱和艾滋病交叉感染模型研究（英文）Modeling Cholera-HIV Syndemic with Treatment
马闻瑞,夏米西努尔
摘要(Abstract)：
本文通过建立数学模型来研究霍乱和艾滋病交叉感染时的动力学,其中艾滋病接受逆转录治疗,霍乱也接受相应的治疗.首先考虑了只感染霍乱和只感染HIV的子模型,然后考虑全模型.同时考虑了霍乱以及对其的治疗和对艾滋病动力学的影响.最后,讨论了只感染霍乱的子模型中基本再生数R_C的敏感性.
关键词(KeyWords)： 交叉感染;只感染HIV;只感染霍乱;基本再生数;敏感性
基金项目(Foundation): Supported by the National Natural Science Foundation of China(11261056,11261058,11271312)
作者(Author): 马闻瑞,夏米西努尔
DOI: 10.13568/j.cnki.651094.2016.04.007
参考文献(References)：
- [1]Mushayabasa S,Bhunu C P.Is HIV infection associated with an increased risk for cholera?Insights from a mathematical model[J].Biosystems,2012,109:203-213.
- [2]Lorenz von Seidlein,Wang Xuanyi,Arminda Macuamule.Is HIV infection associated with an increased risk for cholera?Findings from a case-control study in Mozambique]J].Tropical Medicine and International Health,2008,13(5):683-688.
- [3]Navjot Kaur,Mini Ghosh,Bhatia S S.The role of screening and treatment in the transmission dynamics of HIV/AIDS and tuberculosis co-infection:a mathematical study[J].Biology and Physic,2014,40:139-166.
- [4]Sunita Gakkhar,Nareshkumar Chavda.A dynamical model for HIV-TB co-infection[J].Applied Mathematics and Computation,2012,218:9261-9270.
- [5]Mushayabasa S,Tchuenche J M,Bhunu C P.Modeling gonorrhea and HIV co-interaction[J].BioSystems,2011,103:27-37.
- [6]Van den Driessche P,James Watmough.Reproduction numbers and sub-threshold endemic equilivria for compartmental models of disease transmission[J].Mathematical Biosciences,2002,180:29-48.
- [7]Castillo-Chavez C,Song B.Dynamical models of Tuberculosis and their applications]J].Mathematical Biosciences,2004,1(2):361.
- [8]Zindoga Mukandavire,Prasenjit Das.Global analysis of an HIV/AIDS epidemic model[J].World Journal of Modelling and Simulation,2010,3:231-240.