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ANALYSIS OF A SUSCEPTIBLE-EXPOSEDINFECTED EPIDEMIC MODEL WITH random perturbation AND VARYING POPULATION SIZE

Annals of Applied Mathematics 2017年第2期33卷 130-138页

作者： Lihong Chen Fengying Wei College of Math.and Computer Science Fuzhou University

In this paper, we study a type of susceptible-exposed-infected（SEI） epidemic model with varying population size and introduce the random perturbation of the constant contact rate into the SEI epidemic model due to the universal existence of fluctuations. Under some moderate conditions, the density of the exposed and the infected individuals exponentially approaches zero almost surely are derived. Furthermore, the stochastic SEI epidemic model admits a stationary distribution around the endemic equilibrium, and the solution is ergodic. Some numerical simulations are carried out to demonstrate the efficiency of the main results.

关键词： varying population size random perturbation SEI epidemic model stationary distribution

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High-order numerical method for the derivative nonlinear Schrodinger equation

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International Journal of Modeling, Simulation, and Scientific Computing 2017年第1期8卷 258-270页

作者： Shu-Cun Li Xiang-Gui Li Jun-Jie Cao Wen-Bo Li School of Applied ScienceBeijing Information Science and Technology UniversityBeijing 100192P.R.China

In this work,a fourth-order numerical scheme in space and two second-order numerical schemes in both time and space are proposed for the derivative nonlinear Schrodinger equation.We verify the mass conservation for the two-level implicit scheme.The influence on the soliton solution by adding a small random perturbation to the initial condition is discussed.The numerical experiments are given to test the accuracy order for different schemes,respectively.We also test the conservative property of mass and Hamiltonian for these schemes from the numerical point of view.

关键词： Derivative nonlinear Schrodinger equation finite difference soliton solution random perturbation

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Privacy-Preserving Recommendation Based on Kernel Method in Cloud Computing

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Computers, Materials & Continua 2021年第1期66卷 779-791页

作者： Tao Li Qi Qian Yongjun Ren Yongzhen Ren Jinyue Xia College of Artificial Intelligence Nanjing University of Information Science and TechnologyNanjing210044China College of Electronic and Information Engineering Nanjing University of Information Science and TechnologyNanjing210044China College of Computer and Software Nanjing University of Information Science and TechnologyNanjing210044China International Business Machines Corporation(IBM) NYUSA

The application field of the Internet of Things(IoT)involves all aspects,and its application in the fields of industry,agriculture,environment,transportation,logistics,security and other infrastructure has effectively promoted the intelligent development of these aspects.Although the IoT has gradually grown in recent years,there are still many problems that need to be overcome in terms of technology,management,cost,policy,and security.We need to constantly weigh the benefits of trusting IoT products and the risk of leaking private data.To avoid the leakage and loss of various user data,this paper developed a hybrid algorithm of kernel function and random perturbation method based on the algorithm of non-negative matrix factorization,which realizes personalized recommendation and solves the problem of user privacy data protection in the process of personalized recommendation.Compared to non-negative matrix factorization privacy-preserving algorithm,the new algorithm does not need to know the detailed information of the data,only need to know the connection between each data;and the new algorithm can process the data points with negative characteristics.Experiments show that the new algorithm can produce recommendation results with certain accuracy under the premise of preserving users’personal privacy.

关键词： IoT kernel method privacy-preserving personalized recommendation random perturbation

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Dynamic Behaviour of Oilfield ‘A’ Form Derricks

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Tsinghua Science and Technology 2001年第1期6卷 57-62页

作者：胡少伟聂建国 Department of Civil Engineering Tsinghua University Beijing 100084 China

This paper analyses the natural frequencies and modes of ‘A’ form derricks. Using the random perturbative finite element methods, the first-order and second-order sensitivities are calculated when several structural parameters of elements are changed randomly. The expressions of the random structural eigenvalues of ‘A’ form derricks are given. The results and conclusions are valuable for designing new oilfield derricks in the future.

关键词： A’ form derricks dynamic characteristics random perturbation sensitivity

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