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Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size

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International Journal of Biomathematics 2019年第1期12卷 93-113页

作者： Shitao Liu Liang Zhang Xiao-Bing Zhang Aibing Li College of Science Northwest A&F University YanglingShaanxi 712100P.R.China Department of Applied Mathematics Lanzhou University of Technology Lanzhou Gansu 730050P.R.China

We investigate a stochastic heroin epidemic model with bilinear incidence and varying population size.Sufficient criteria for the extinction of the drug abusers and the existence of ergodic stationary distribution for the model are established by constructing suitable stochastic Lyapunov functions.By analyzing the sensitivity of the threshold of spread,we obtain that prevention is better than cure.Numerical simulations are carried out to confirm the analytical results.

关键词： Stochastic heroin epidemic model Lyapunov function extinction stationary distribution sensitivity analysis

Calculation of local Fourier transforms for formal connections

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Science China Mathematics 2009年第10期52卷 2195-2206页

作者： FANG JiangXue Chern Institute of Mathematics, Nankai University, Tianjin 300071, China Chern Institute of Mathematics Nankai University Tianjin China

We calculate the local Fourier transforms for formal connections. In particular, we verify some formulas analogous to a conjecture of Laumon and Malgrange for-adic local Fourier transforms.

关键词： local Fourier transform good lattices formal connections stationary phase

A Note on the Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Partial Sums of Certain stationary Gaussian Sequences

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Applied Mathematics 2014年第10期5卷 1598-1608页

作者： Yuanfang Wang Qunying Wu College of Science Guilin University of Technology Guilin China

Considering a sequence of standardized stationary Gaussian random variables, a universal result in the almost sure central limit theorem for maxima and partial sum is established. Our result generalizes and improves that on the almost sure central limit theory previously obtained by Marcin Dudzinski [1]. Our result reaches the optimal form.

关键词： Almost Sure Central Limit Theorem stationary Gaussian Sequence Slowly Varying Functions at Infinity

ON STABILITY OF NON-stationary POPULATION CONTROL SYSTEMS AND CRITICAL FERTILITY RATE THEORY OF FEMALES

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Chinese Science Bulletin 1985年第6期30卷 711-716页

作者：陈任昭 Department of Mathematics Northeast Normal University Changchunn this paper we discuss the dynamic characteristics of the non-stationary population control systems give the expansion in series of the solution and obtain the necessary and sufficient conditions for the systems to be stable and then we define

In this paper, we discuss the dynamic characteristics of the non-stationary population control systems, give the expansion in series of the solution, and obtain the necessary and sufficient conditions for the systems ... 详细信息

关键词： stationary RATE fertility inequality viewpoint absolute analogous numerous hypothesis holds

Numerical Simulation of Water Droplets Deposition on the Last-Stage stationary Blade of Steam Turbine

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Energy and Power Engineering 2010年第4期2卷 248-253页

作者： Danmei Xie Xinggang Yu Wangfan Li Youmin Hou Yang Shi Sun Cai 不详

Based on the method of discrete phase, the law of droplets’ deposition in the last stage stationary blade of a supercritical 600 MW Steam Turbine is simulated in the first place of this paper by using the Wet-steam model in commercial software FLUENT, where the influence of inlet angle of water droplets of the stationary blades is also considered. Through the calculation, the relationship between the deposition and the diameter of water droplets is revealed. Then, the amount of droplets deposition in the suction and pressure surface is derived. The result is compared with experimental data and it proves that the numerical simulation result obtained in this paper is reasonable. Finally, a formula of the relationship between the diameter of water droplets and the inlet angle is fit, which could be used for approximate calculation in the engineering applications.

关键词： Steam Turbine stationary Blade Wet Steam Water Droplets Deposition Discrete Phase Numerical Simulation

Dps Is a stationary Phase-Specific Protein of <i>Escherichia coli</i>Nucleoid

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Advances in Microbiology 2014年第15期4卷 1095-1104页

作者： Ali Azam Talukder Akira Ishihama Department of Microbiology Jahangirnagar University Savar Bangladesh Department of Molecular Genetics National Institute of Genetics Mishima Japan Micro-Nano Technology Research Center Hosei University Tokyo Japan Japan Science and Technology Corporation Kawaguchi Japan Japan Society for the Promotion of Science Tokyo Japan

Bacterial genomic DNA is highly organized into one or few compacted bodies known as nucleoid, which is composed of DNA, RNA and several DNA-binding proteins. These DNA-binding proteins require essential alterations in their expression during stationary phase of growth in order to re-spond to stressful environmental conditions. Dps (DNA-binding protein from starved cells) is one of such DNA-binding proteins, which accumulates most when E. coli cells reach to the stationary phase. Here, we have characterized Dps protein under various growth phases. Immunofluorescent microscopic observation reveals that Dps plays a key role in final round of genome compaction during the stationary phase. Similar results are also obtained by Western immunoblot analysis, after quantification of Dps protein from the exponential phase and early stationary phase nucleoid bound fractions, separated by sucrose density gradient centrifugation. Our results support the conclusion that Dps occupies more than half of the stationary phase nucleoid in E. coli.

关键词： Dps DNA-Binding Protein stationary Phase E. coli Nucleoid

Denoising of an Image Using Discrete stationary Wavelet Transform and Various Thresholding Techniques

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