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| 1 | Analysis on an SEIR Epidemic Model with Logistic Death Rate of Virus Mutation显示文摘In this paper, we propose an SEIR epidemic model with Logistic death rate of virus mutation. By means of the direct Lyapunov method and the LaSalle's Invariance Principle, the global stability of the disease-free equilibrium is proved. Using algebraic method to construct Lyapunov function, the global stability of the endemic equilibrium is proved. In addition, numerical simulations are done and the influence of parameters in the model on disease transmission is analyzed. | Jianzhong GAO Tailei ZHANG | 2019 | Journal of Mathematical Research with Applications2019，39，3： | 3 |
| 2 | Cyclic Shearing Deformation Behavior of Saturated Clays显示文摘The apparatus for static and dynamic universal triaxial and torsional shear soil testing is employed to perform stress-controlled cyclic single-direction torsional shear tests and two-direction coupled shear tests under unconsolidated-undrained conditions. Through a series of tests on saturated clay, the effects of initial shear stress and stress reversal on the clay’s strain-stress behavior are examined, and the behavior of pore water pressure is studied. The experimental results indicate that the patterns of stress-strain relations are distinctly influenced by the initial shear stress in the cyclic single-direction shear tests. When the initial shear stress is large and no stress reversal occurs, the predominant deformation behavior is characterized by an accumulative effect. When the initial shear stress is zero and symmetrical cyclic stress occurs, the predominant deformation behavior is characterized by a cyclic effect. The pore water pressure fluctuates around the confining pressure with the increase of cycle number. It seems that the fluctuating amplitude increases with the increase of the cyclic stress. But a buildup of pore water pressure does not occur. The de- formations of clay samples under the complex initial and the cyclic coupled stress conditions include the normal deviatoric deforma- tion and horizontal shear deformation, the average deformation and cyclic deformation. A general strain failure criterion taking into account these deformations is recommended and is proved more stable and suitable compared to the strain failure criteria currently used. | QI Jianfeng LUAN Maotian FENG Xiuli MA Tailei NIE Ying | 2007 | Journal of Ocean University of China2007，6，4： | 2 |
| 3 | Stability of Hopf bifurcation of a delayed SIRS epidemic model with stage structure 显示文摘 | Zhang Tailei Liu Junli Teng Zhidong | 2010 | Nonlinear Analysis : Real World Applica- tions2010，11，1： | 1 |
| 4 | Global asymptotic stability of a delayed SEIRS epidemic model with saturation incidence 显示文摘 | Zhang Tailei Teng Zhidong | 2008 | Chaos Solitons and Fractals2008，37，： | 1 |
| 5 | Modeling and Analyzing the Transmission Dynamics of HBV Epidemic in Xinjiang, China显示文摘 | Tailei Zhang Kai Wang Xueliang Zhang | 2015 | Plos One2015，10，9： | 1 |
| 6 | Global behaviour of a heroin epidemic model with distributed delays显示文摘 | LIU Junli ZHANG Tailei | 2011 | Ap- plied Mathematics Letters2011，24，： | 1 |
| 7 | Pulse vaccination delayed SEIRS epidemic model with saturation inci- dence显示文摘 | ZHANG Tailei TENG Zhidong | 2008 | Applied Mathematical Modelling2008，，： | 1 |
| 8 | Study on a HIV/AIDS model with application to Yunnan province, China显示文摘 | Tailei Zhang Manhong Jia Hongbing Luo Yicang Zhou Ning Wang | 2011 | Applied Mathematical Modelling2011，，： | 1 |
| 9 | Study on a HIV/AIDS model with applieation to Yunman province,China显示文摘 | Zhang Tailei Manhong jia Hongbing Luo | 2011 | Applied Mathematical Modelling2011，35，： | 1 |
| 10 | Epidemic spreading of anSEIRS model in scale-free networks显示文摘 | Liu Junli Zhang Tailei | 2011 | CommunNonlinear Sci Numer Simulat2011，16，： | 1 |
| 11 | Study on a HIV/AIDS model with application to Yunnan province, China 显示文摘 | Tailei Zhang Manhong Jia Hongbing Luo | 2011 | Applied Mathematical Modelling2011，35，9： | 1 |
| 12 | The asmptotic behavior of a nonautonomous eco-epidemicmodel with disease in the prey 显示文摘 | Xingge Niu Tailei Zhang zhidong Teng | 2011 | Applied Mathematical Modelling2011，，35： | 1 |
| 13 | Health-related quality of life in functional dyspepsia 显示文摘 | E1-Serag HB Tailey NJ | 2003 | Aliment Pharmacol Ther2003，18，5： | 1 |
| 14 | On a Non-Autonomous SEIRS Model in Epidemiology 显示文摘 | ZHANG Tailei TENG Zhidong | 2007 | Bulletin of Mathematical Biology2007，69，8： | 1 |
| 15 | The asymptotic behavior of a nonautonomous eco-epidemic model with disease in the prey显示文摘 | Xingge Niu Tailei Zhang Zhidong Teng | 2010 | Applied Mathematical Modelling2010，，1： | 1 |
| 16 | Dynamic behavior for a nonautonomous SIRS epidemic model with distributed delays显示文摘 | Tailei Zhang Junli Liu Zhidong Teng | 2009 | Applied Mathematics and Computation2009，，2： | 1 |
| 17 | Dynamic Behavior for a Non-autono- mous SIRS Epidemic Model with Distributed Delays 显示文摘 | ZHANG Tailei LIU Junli | 2009 | Applied Mathematics and Computation2009，214，2： | 1 |
| 18 | Bifurcation analysis of a delayed SIS epidemic model with stage structure显示文摘 | ZHANG Tailei LIU Junli TENG Zhidong | 2009 | Chaos Solitons Fractals2009，40，2： | 1 |
| 19 | A Non-autonomous Epidemic Model with Time Delay and Vaccination 显示文摘 | ZHANG Tailei LIU Junli TENG Zhidong | 2010 | Mathe- matical Methods in the Applied Sciences2010，33，1： | 1 |
| 20 | Permanence and extinction for a nonautonomous SIRS epidemic model with time delay显示文摘 | Tailei Zhang Zhidong Teng | 2007 | Applied Mathematical Modelling2007，，2： | 1 |
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