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A CLASS OF SIS EPIDEMIC MODEL WITH SATURATION INCIDENCE AND AGE OF INFECTION

机译：具有饱和度和感染年龄的一类SIS流行病模型

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Saturating contact rate of individual contacts is crucial in an epidemiology model. A mathematical SIR model with saturation incidence and age of infection is formulated in this paper. In addition, we study the dynamical behavior of this model and define the basic reproductive number R<,0> The authors also prove that the diseased-free equilibrium is globally asymptotically stable if R<,0> < 1. The endemic equilibrium is locally asymptotically stable if K<,1> > α and R<,0> > 1.

机译：在流行病学模型中，个体接触的饱和接触率至关重要。本文建立了具有饱和发生率和感染年龄的数学SIR模型。此外，我们研究了该模型的动力学行为并定义了基本生殖数R <，0>。作者还证明，如果R <，0> <1，则无病平衡是全局渐近稳定的。地方病平衡是局部的如果K <，1>>α并且R <，0>> 1.则渐近稳定。

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《Annals of Differential Equations》|2007年|546-551|共6页
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作者
ZHANG Yu; rnWU Zi-yan; rnDING Lan; rnYAN Yun-ju;
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作者单位

Yang Junyuan@Dept. of Applied Math., Yuncheng Unversity, 044000 Yuncheng, Shanxi--Zhang Fengqin@Dept. of Applied Math.,Yuncheng Unversity, 044000 Yuncheng, Shanxi--Wang Xiaoyan@Dept. of Applied Math., Yuncheng Unversity, 044000 Yuncheng, Shanxi--;

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正文语种
中图分类微分学;
关键词
epidemic model; age of infection; local stability; saturation incidence;

机译：流行模型;感染年龄;局部稳定性;饱和度发生率;

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专利

1. A CLASS OF SIS EPIDEMIC MODEL WITH SATURATION INCIDENCE AND AGE OF INFECTION [J] . Yang Junyuan, Zhang Fengqin, Wang Xiaoyan Annals of Differential Equations . 2007,第4期

机译：具有饱和度和感染年龄的一类SIS流行病模型
2. A CLASS OF SIS EPIDEMIC MODEL WITH SATURATION INCIDENCE AND AGE OF INFECTION [J] . Yang Junyuan, Zhang Fengqin, Wang Xiaoyan 微分方程年刊：英文版 . 2007,第004期

机译：具有饱和度和感染年龄的一类SIS流行病模型
3. A delayed epidemic model of diseases through droplet infection and direct contact with saturation incidence and pulse vaccination [J] . G. P. Samanta, Prosenjit Sen, Alakes Maiti Systems Science & Control Engineering . 2016,第1期

机译：通过飞沫感染并直接接触饱和发生率和脉冲疫苗接种的疾病的延迟流行病模型
4. A CLASS OF SIS EPIDEMIC MODEL WITH SATURATION INCIDENCE AND AGE OF INFECTION [C] . National Conference on Qualitative Theory of Differential Equations . 2007

机译：一类SIS流行病模型，饱和发病率和感染年龄
5. Age-dependence in epidemic models of vector-borne infections. [D] . Park, Thomas Reed, III. 2004

机译：媒介传播传染病流行模型中的年龄依赖性。
6. Global dynamics for a class of discrete SEIRS epidemic models with general nonlinear incidence [O] . Xiaolin Fan, Lei Wang, Zhidong Teng -1

机译：一类具有一般非线性事件的离散SEIRS流行病模型的全局动力学
7. Global stability of a delayed SIRS epidemic model with saturation incidence and temporary immunity [O] . Xu Rui, Ma Zhien, Wang Zhiping 2010

机译：具有饱和发生率和暂时免疫的时滞SIRS流行病模型的全局稳定性

A CLASS OF SIS EPIDEMIC MODEL WITH SATURATION INCIDENCE AND AGE OF INFECTION

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