| 一类具有垂直传染的SIR传染病模型周期解的存在性 |
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| 引用本文： | 闫兰戈,米晓丽.一类具有垂直传染的SIR传染病模型周期解的存在性[J].辽宁大学学报(自然科学版),2012,39(2):149-152. |
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| 作者姓名： | 闫兰戈 米晓丽 |
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| 作者单位： | 1. 山西省晋中师范高等专科学校数学系,山西榆次,030600
2. 山西师范大学数学与计算机科学学院,山西临汾,041004 |
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| 摘 要： | 讨论了一类具有垂直传染的SIR传染病模型.利用重合度理论中的延拓定理研究了一类具有垂直传染的SIR传染病模型的非平凡周期解的存在性.
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| 关 键 词： | 传染病模型 周期解 垂直传染 重合度 |
The Existence of Periodic Soultions for SIR Epidemic Model Vertical Transmission |
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| YAN Lan-ge
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MI Xiao-li.The Existence of Periodic Soultions for SIR Epidemic Model Vertical Transmission[J].Journal of Liaoning University(Natural Sciences Edition),2012,39(2):149-152. |
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| Authors: | YAN Lan-ge MI Xiao-li |
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| Institution: | 1.School of Mathematics,Shanxi Jinzhong Teachers College,Jinzhong 037009,China; 2.School of Mathematics and Computer Science,Shanxi Normal University,Linfen 041004,China) |
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| Abstract: | A set of easily verifiable sufficient conditions are derived for the existence of periodic solutions with strictly positive components for a SIR epidemic model by using the method of coincidence degree Numerical simulation is done to show the result. |
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| Keywords: | epidemic model periodic soultion coincidence degree vertical transmission |
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