| 一类具有时滞的媒介传染病模型非负解的存在性 |
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| 引用本文： | 王娟,何俊杰,王倩.一类具有时滞的媒介传染病模型非负解的存在性[J].郑州大学学报(自然科学版),2014(3):1-4. |
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| 作者姓名： | 王娟 何俊杰 王倩 |
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| 作者单位： | 信阳师范学院数学与信息科学学院,河南信阳464000 |
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| 基金项目： | 基金项目：国家自然科学基金资助项目,编号11271314;河南省自然科学基金资助项目,编号132300410056;河南省教育厅科学研究重点项目,编号13A110769;国家大学生创新创业训练计划项目,编号201310477007. |
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| 摘 要： | 研究了一类具有时滞和直接传染的媒介传染病模型,给出了该模型基本再生数新的表达式,运用不动点定理在一定条件下证明了模型非负解的存在唯一性.
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| 关 键 词： | 媒介传染 直接传染 时滞 基本再生数 非负解 |
The Existence of the Non-negative Solution for an Epidemic Model of a Vetor-borne Disease with Time Delay |
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| WANG Juan,liE Jun-jie,WANG Qian.The Existence of the Non-negative Solution for an Epidemic Model of a Vetor-borne Disease with Time Delay[J].Journal of Zhengzhou University (Natural Science),2014(3):1-4. |
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| Authors: | WANG Juan liE Jun-jie WANG Qian |
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| Institution: | ( College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China) |
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| Abstract: | An epidemic model of a vector-borne disease pression of basic reproduction number was given. Under of a non-negative solution for this model were proved by with time delay was discussed. The explicit excertain condition, the existence and uniqueness using fixed point theorem. |
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| Keywords: | vector-borne disease direct transmission time delay basic reproduction number non-negative solution |
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