Global Stability of a Class of the Combination of SEIR and SEIS Epidemic Model with Saturating Contact Rate

机译：一类具有饱和接触率的SEIR和SEIS流行病模型组合的全局稳定性

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A class of the combination of SEIR and SEIS epidemic model with saturating contact rate is studied. A basic reproductive number 0 R which determines the outcome of the disease is given and the existences of the equilibrium are discussed. If 0 1 R 凾 , the disease-free equilibrium is globally stable and the disease dies out. If 0 1 R 儺 , the endemic equilibrium is globally stable when there's no disease-caused person.

机译：研究了一类具有饱和接触率的SEIR和SEIS流行病模型的组合。给出了决定疾病结果的基本生殖数0 R，并讨论了平衡的存在。如果0 1 R凾，则无病平衡总体稳定，并且疾病消失。如果0 1 R傩，则在没有疾病引起者的情况下，地方平衡在全局上是稳定的。

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来源
《The World Advances in ELID-Grinding Technologies: Trends on High Efficiency and Essential Processing》|2008年|546-551|共6页
会议地点 Changsha(CN)
作者
Suhui Shen; rnSanling Yuan; rnPan Li;
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作者单位

Suhui Shen@College of Science, University of Shanghai for Science and Technology, Shanghai,200093--Sanling Yuan@College of Science, University of Shanghai for Science and Technology, Shanghai,200093--Pan Li@College of Science, University of Shanghai for Science and Technology, Shanghai,200093--;

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中图分类 TTB30;
关键词
epidemic model; equilibrium; saturating contact rate; global stability; compound matrices;

机译：流行模型平衡;饱和接触率；全球稳定；复合矩阵;

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专利

1. Global dynamics of an SEIR epidemic model with saturating contact rate [J] . Zhang J., Ma Z. Mathematical Biosciences: An International Journal . 2003,第1期

机译：具有饱和接触率的SEIR流行病模型的全局动力学
2. Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate [J] . Xueyong Zhou, Jingan Cui Communications in Nonlinear Science and Numerical Simulation . 2011,第11期

机译：具有饱和回收率的SEIR流行病模型的稳定性和分支
3. Global analysis of an SEIRS epidemic model with new modulated saturated incidence [J] . Agrawal Ankit Communications in Mathematical Biology and Neuroscience . 2014,第1期

机译：具有新的调制饱和事件的SEIRS流行病模型的全局分析
4. Global Stability of a Class of the Combination of SEIR and SEIS Epidemic Model with Saturating Contact Rate [C] . Chengxing Huang, Yanxia Li, Jianzhi Fan, Conference of Biomathematics . 2008

机译：一类具有饱和接触率的SEIR和SEIS流行病模型组合的全局稳定性
5. Mathematical analysis of global dynamics of SEIR type epidemiological models. [D] . Wang, Liancheng. 2000

机译：SEIR型流行病学模型全局动力学的数学分析。
6. Analysis of an SEIR Epidemic Model with Saturated Incidence and Saturated Treatment Function [O] . Jinhong Zhang, Jianwen Jia, Xinyu Song -1

机译：具有饱和发病率和饱和治疗功能的SEIR传染病模型的分析
7. Global Dynamics of an SEIR Epidemic model with saturated incidence under treatment [O] . M. Badole, S. K. Tiwari, V. Gupta, 2018

机译：治疗下饱和发病率的SEIR流行病模型的全球动态

Global Stability of a Class of the Combination of SEIR and SEIS Epidemic Model with Saturating Contact Rate

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