| 一类具有一般非线性隔离函数及潜伏年龄SEIRS传染病模型稳定性分析 |
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| 引用本文： | 赵君平. 一类具有一般非线性隔离函数及潜伏年龄SEIRS传染病模型稳定性分析[J]. 江西师范大学学报(自然科学版), 2011, 35(5): 464-470 |
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| 作者姓名： | 赵君平 |
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| 作者单位： | 西安建筑科技大学理学院,陕西西安,710055 |
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| 基金项目： | 陕西省自然科学基金(2009JM1002)资助项目 |
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| 摘 要： | 建立了一类具有一般非线性接触率、非线性隔离函数及染病年龄结构的SEIRS传染病模型.综合运用不动点定理、Bellman-Grownall引理及Laplace变换等方法,对地方病平衡点的存在性及稳定性和无病平衡点的稳定性进行了研究,得到了地方病平衡点指数渐近稳定的一般性条件.
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| 关 键 词： | 隔离函数 非线性接触率 染病年龄 SEIRS传染病模型 |
The Stability Analysis for a SEIRS Epidemic Model with General Screening Function and Latent-Age Dependence |
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| ZHAO Jun-ping. The Stability Analysis for a SEIRS Epidemic Model with General Screening Function and Latent-Age Dependence[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2011, 35(5): 464-470 |
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| Authors: | ZHAO Jun-ping |
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| Affiliation: | ZHAO Jun-ping(School of Sciences,Xi'an University of Architecture and Technology,Xi'an Shanxi 710055,China) |
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| Abstract: | An infection-age SEIRS epidemic model with general nonlinear contact rate and general screening function is formulated.The existence and stability of endemic equilibrium,the stability of disease free equilibrium are respectively discussed by using the fixed theorem,Bellman-Gronwall lemma and Laplace transformation.In the same time,an ordinary condition is obtained under which the endemic equilibrium is expontently asymptotically stable.The study extends the existing stability results of SEIRS epidemic model... |
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| Keywords: | screening function nonlinear contact rate infection-age SEIRS epidemic model |
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