| 一类具周期裂解免疫反应的HIV感染模型正周期解的存在性 |
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| 引用本文： | 王会兰,廖新元,朱惠延.一类具周期裂解免疫反应的HIV感染模型正周期解的存在性[J].南华大学学报(自然科学版),2012,26(1):44-47. |
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| 作者姓名： | 王会兰 廖新元 朱惠延 |
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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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| 基金项目： | 湖南省科技厅计划基金资助项目(2010GK3013);湖南省自然科学衡阳联合基金资助项目(11JJ9001) |
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| 摘 要： | 考虑了HIV感染系统中免疫细胞对感染细胞的周期裂解作用,建立起具有免疫饱和效应的时滞微分方程模型,运用非线性泛函分析中的拓扑度理论,得到了系统存在正周期解的充分条件.
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| 关 键 词： | HIV感染 裂解免疫反应 正周期解 拓扑度 |
| 收稿时间： | 2011/12/20 0:00:00 |
Existence of Positive Periodic Solutions for a Class of HIV-infection Models with Lytic Immune Response |
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| WANG Hui-lan,LIAO Xin-yuan,ZHU Hui-yan.Existence of Positive Periodic Solutions for a Class of HIV-infection Models with Lytic Immune Response[J].Journal of Nanhua University:Science and Technology,2012,26(1):44-47. |
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| Authors: | WANG Hui-lan LIAO Xin-yuan ZHU Hui-yan |
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| Institution: | (School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China) |
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| Abstract: | Periodically lytic immune response is considered for a class of HIV models with saturation effects and delay which are described as differential equations.By theory of topologic degree in nonlinear functional analysis,sufficient conditions are obtained for the existence of positive periodic solutions to the system. |
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| Keywords: | HIV-infection lytic immune response positive periodic solutions topologic degree |
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