| 一类HIV传播人群的非线性动力学模型 |
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| 引用本文： | 冯依虎,汪维刚,莫嘉琪.一类HIV传播人群的非线性动力学模型[J].吉林大学学报(理学版),2018,56(4):779-785. |
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| 作者姓名： | 冯依虎 汪维刚 莫嘉琪 |
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| 作者单位： | 1. 亳州学院 电子与信息工程系, 安徽 亳州 236800； 2. 合肥幼儿师范高等专科学校, 合肥 230011；3. 安徽师范大学 数学与统计学院, 安徽 芜湖 241003 |
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| 摘 要： | 考虑人体免疫缺陷病毒(HIV)传播的动力学模型,利用流行性传染病区域的人群传播规律,提出一类HIV传播的动力学系统.先利用泛函同伦映射方法,得到一类HIV传播动力学非线性系统近似解的序列及其一致收敛性,并举例得到各次近似解,再对HIV传播动力学系统的解进行定量和定性分析.结果表明,利用近似解的表示式可调节感染者人数和易感者人数的分布.
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| 关 键 词： | 近似解 非线性动力学模型 同伦映射 HIV传播人群 |
| 收稿时间： | 2017-08-21 |
A Class of Nonlinear Dynamic Model ofHuman Groups forHIV Transmission |
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| FENG Yihu,WANG Weigang,MO Jiaqi.A Class of Nonlinear Dynamic Model ofHuman Groups forHIV Transmission[J].Journal of Jilin University: Sci Ed,2018,56(4):779-785. |
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| Authors: | FENG Yihu WANG Weigang MO Jiaqi |
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| Institution: | 1. Department of Electronics and Information Engineering, Bozhou University, Bozhou 236800, Anhui Province, China; 2. Hefei Preschool Education College, Hefei 230011, China；3. School of Mathematics & Statistics, Anhui Normal University, Wuhu 241003, Anhui Province, China |
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| Abstract: | We considered a class of dynamic model of human immunodeficiency virus (HIV) transmission and proposed a class of HIV transmission dynamic system by using the rule of population transmission in epidemic contagion region. Firstly, using the functional homotopic mapping method, we obtained the sequence of approximate solutions of a class of HIV nonlinear transmission dynamic system and their uniformly convergence, and gave an example to get all the approximate solutions. Then the quantitative and qualitative analysis of the solution for HIV transmission dynamic system was carried out. The results show that the expressions of approximate solution can regulate the distribution for the number of infected persons and susceptible persons. |
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| Keywords: | approximate solution human groups for HIV transmission nonlinear dynamic model homotopic mapping |
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