| 具媒体影响的时滞HIV传染动力学模型及其解的正性和有界性 |
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| 引用本文： | 刘岩柏,朱惠延,刘芳.具媒体影响的时滞HIV传染动力学模型及其解的正性和有界性[J].南华大学学报(自然科学版),2019,33(6):37-40. |
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| 作者姓名： | 刘岩柏 朱惠延 刘芳 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001 |
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| 摘 要： | 建立一类具媒体影响的时滞HIV传染动力学模型来研究媒体等对HIV传染的影响。通过运用时滞微分方程相关理论证明了模型解的正性;运用常微分方程比较定理和时滞微分方程解的指数有界定义等证明了模型解的有界性。研究模型解的正性与有界性是研究此类模型其它动力学性质的前提基础。
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| 关 键 词： | 媒体影响 HIV传染 时滞 正性 有界性 |
| 收稿时间： | 2019/6/24 0:00:00 |
Positive and Boundedness of the Solution to HIV Infection Model with Delay Effects of Media |
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| LIU Yanbai,ZHU Huiyan,LIU Fang.Positive and Boundedness of the Solution to HIV Infection Model with Delay Effects of Media[J].Journal of Nanhua University:Science and Technology,2019,33(6):37-40. |
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| Authors: | LIU Yanbai ZHU Huiyan LIU Fang |
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| Institution: | School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | In order to study the influence of media on HIV infection,a class of HIV infection model with media effects is established.The positive solution of the model is proved by using the theory of delay differential equations;The boundedness of the solution of the model is proved by the comparison theorem of the ordinary differential equations and exponential bounded definition of delay differential equations.Studying the positive and boundedness of the solution to the model is the premise basis for studying the other dynamic properties of such models. |
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| Keywords: | media HIV infection delay positive boundedness |
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