| 具有Logistic增长的SIVR模型的研究 |
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| 引用本文： | 成小伟,胡志兴.具有Logistic增长的SIVR模型的研究[J].北京工商大学学报(自然科学版),2009,27(2). |
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| 作者姓名： | 成小伟 胡志兴 |
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| 作者单位： | 1. 北京科技大学,天津学院,天津,300192
2. 北京科技大学,应用科学学院数力系,北京,100083 |
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| 摘 要： | 研究了一个具有Logistic增长的SIVR传染病模型;讨论了模型的平衡点的存在性,分别证明了无病平衡点和地方病平衡点的全局渐近稳定性;最后进行数值模拟以验证所得结论.
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| 关 键 词： | Logistic增长 平衡点 稳定性 数值模拟 |
ANALYSIS OF AN SIVR MODEL WITH LOGISTIC INCREASING |
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| CHENG Xiao-wei,HU Zhi-xing.ANALYSIS OF AN SIVR MODEL WITH LOGISTIC INCREASING[J].Journal of Beijing Technology and Business University:Natural Science Edition,2009,27(2). |
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| Authors: | CHENG Xiao-wei HU Zhi-xing |
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| Institution: | 1.Tianjin College;University of Science and Technology Beijing;Tianjin 300192;China;2.School of Applied Science;Beijing 100083;China |
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| Abstract: | This paper considers an SIVR epidemic model with Logistic increasing.We obtain the equilibriums of the model.We proved the global asymptotical stable results of the disease-free and endemic equilibriums.At last,we give a numerical simulation to test and verify the conclusions. |
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| Keywords: | Logistic increasing equilibrium stability numerical simulations |
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