| 具有隔离接种且传染率为非线性的传染病模型的稳定性 |
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| 引用本文： | 殷蓉蓉,胡志兴. 具有隔离接种且传染率为非线性的传染病模型的稳定性[J]. 北京工商大学学报(自然科学版), 2009, 27(3) |
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| 作者姓名： | 殷蓉蓉 胡志兴 |
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| 作者单位： | 北京科技大学,应用科学学院,北京,100083 |
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| 摘 要： | 研究一类具有预防接种、隔离且传染率依赖于易感人口的SIQRS传染病模型,给出确定疾病消亡和持续生存的基本再生数σ.在一定条件下证明无病平衡点的全局稳定性,得到唯一地方病平衡点的存在性和局部渐近稳定条件.
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| 关 键 词： | 数学模型 传染病 基本再生数 平衡点 稳定性 |
STABILITY OF AN EPIDEMIC MODEL FOR NONLINEAR INFECTIOUS RATE WITH VACCINATION AND QUARANTINE |
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| YIN Rong-rong,HU Zhi-xing. STABILITY OF AN EPIDEMIC MODEL FOR NONLINEAR INFECTIOUS RATE WITH VACCINATION AND QUARANTINE[J]. Journal of Beijing Technology and Business University:Natural Science Edition, 2009, 27(3) |
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| Authors: | YIN Rong-rong HU Zhi-xing |
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| Affiliation: | School of Applied Science;University of Science and Technology Beijing;Beijing 10083;China |
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| Abstract: | An epidemic SIQRS model with vaccination,quarantine and nonlinear infectious rate is analyzed in this paper.Derived is a threshold σ which determines the existence of the infectious disease.In some conditions,we demonstrate that the disease free equilibrium is globally stable.The existence of a unique endemic equilibrium and the condition of local asymptotic stability are obtained. |
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| Keywords: | mathematical model infectious disease basic reproductive number equilibrium stability |
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