摘要：
In this paper, we consider a mathematical model for HIV-1 infection with intracellular delay and cell-mediated immune response. A novel feature is that both cytotoxic T lymphocytes (CTLs) and the intracellular delay are incorporated into the model. We obtain a necessary and sufficient condition for the global stability of the infection-free equilibrium and give sufficient conditions for the local stability of the two infection equilibria: one without CTLs being activated and the other with. We also perform some numerical simulations which support the obtained theoretical results. These results show that larger intracellular delay may help eradicate the virus, while the activation of CTLs can only help reduce the virus load and increase the healthy CD(4)(+) cells population in the long term sense.
摘要：
Based on the ideal solution approximation, the model for size-dependent melting temperature of pure metal nanoparticles is extended to binary alloy systems. The developed model, free of any adjustable parameter, demonstrates that the melting temperature is related to the size and composition of alloy nanoparticles. The melting temperature of CuNi, PbBi and SnIn binary alloy nanocrystals is found to be consistent with the experiments and molecular dynamics simulations. The research reveals that alloy nanocrystals have similar melting nature as pure metal.
会议名称：
3rd International Conference on Impulsive Dynamical Systems and Applications
会议时间：
JUL 21-23, 2006
会议地点：
Qingdao, PEOPLES R CHINA
会议主办单位：
Guangxi Univ, Coll Comp & Elect Informat, Nanning 530004, Peoples R China.^Nanhua Univ, Sch Math & Phys, Hunan 420003, Peoples R China.
摘要：
In this paper, the basic definitions of inner-product and outer-product of Vague set are introduced. Based on that, some characters of them are brought forward and the particular proof are presented afterward.
期刊：
Chinese Journal of Electronics,2002年11(4):469-471 ISSN：1022-4653
通讯作者：
Pan, LQ
作者机构：
[Pan, LQ] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China.;Nahua Univ, Inst Engn & Technol, Dept Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Pan, LQ] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China.
关键词：
DNA computing;NP-complete problem;maximal clique problem
摘要：
The maximal clique problem is an NP (nondeterministic polynomial time)-complete problem. We present an algorithm that solves maximal clique problem within the framework of a surface-based model of computation. The time complexity of our algorithm is O(n2), and the number of kinds of short oligonucleotides needed to encode maximal clique problem is n + 3, where n is the size of the graph. In our algorithm, immobilizing DNA (deoxyribonucleic acid) strands to a solid surface reduces the possibility of error resulting from the loss of DNA strands in solution. A solution-based algorithm solving maximal clique problem has previously been proposed by Qi Ouyang et al.. In their algorithm, the number of enzyme is equal to the number of vertices of the graph, which causes the difficulty of encoding and scaling up, because the DNA sequences of restriction enzyme sites should not be present in otherwhere. Using surface-based model, we designed an algorithm for maximal clique problem, which needs only one enzyme.
期刊：
Science in China Series A: Mathematics,2008年51(8):1537-1548 ISSN：1006-9283
通讯作者：
Shu Shi
作者机构：
[Shu Shi; Zhong LiuQiang] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.;[Shu Shi; Zhong LiuQiang] Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China.;[Sun Dudu] Chinese Acad Sci, Grad Univ, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China.;[Tan Lin] Nanhua Univ, Dept Math Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Shu Shi] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.
会议名称：
8th National Conference on Computational Mathematics
会议时间：
OCT 25-29, 2007
会议地点：
Sichuan Univ, Sichuan, PEOPLES R CHINA
会议主办单位：
[Zhong LiuQiang;Shu Shi] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.^[Zhong LiuQiang;Shu Shi] Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China.^[Sun Dudu] Chinese Acad Sci, Grad Univ, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China.^[Tan Lin] Nanhua Univ, Dept Math Phys, Hengyang 421001, Peoples R China.
关键词：
preconditioner;higher order edge finite element;stable decomposition;65F10;65N22
摘要：
In this paper, we are concerned with the fast solvers for higher order edge finite element discretizations of Maxwell’s equations. We present the preconditioners for the first family and second family of higher order Nédélec element equations, respectively. By combining the stable decompositions of two kinds of edge finite element spaces with the abstract theory of auxiliary space preconditioning, we prove that the corresponding condition numbers of our preconditioners are uniformly bounded on quasi-uniform grids. We also present some numerical experiments to demonstrate the theoretical results.
作者：
Min, Zhang*;Ping, Liang Zhan;Jiang, Huang Zhen;Jun, Tan
作者机构：
[Ping, Liang Zhan; Min, Zhang; Jiang, Huang Zhen; Jun, Tan] Univ South China, Sch Math & Phys, Hengyan 4210012, Peoples R China.
会议名称：
2nd International Conference on Informatization in Education, Management and Business (IEMB)
会议时间：
SEP 12-13, 2015
会议地点：
Guangzhou, PEOPLES R CHINA
会议主办单位：
[Min, Zhang;Ping, Liang Zhan;Jiang, Huang Zhen;Jun, Tan] Univ South China, Sch Math & Phys, Hengyan 4210012, Peoples R China.
会议论文集名称：
Advances in Social Science Education and Humanities Research
关键词：
conservation of energy;conservation of angular momentum of Newton's second law
摘要：
this paper focuses on The aircraft soft-landing trajectory design and control strategy of in-depth discussion and analysis of considering The aircraft landing during the motion, and the stress is different, a mathematical model, answers the questions posed by the topic. Considered actual flight situation, we established landing cabin mathematics model description The Aircraft, of movement State, according to established of model, repeatedly set angle of pitch by using Matlab, looking for meet design requirements optimal solutions, obtained optimal design points location of cross, and ordinate; in according to geometry obtained in recent months points and optimal design points of angle, according to longitude degrees calculation method, determines in recent months points, and far months points of location; When the aircraft landing elliptical orbit, it follows the conservation of energy, so the Aircraft, in recent months points and far months points of energy equal, and due to aircraft, in in recent months points and far months points of speed are and aircraft, to months heart of line vertical, is angular momentum conservation, according to gold proportions substitution, obtained has in recent months points and far months points of speed size and direction.
作者：
Hu, H. P.;Liao, Y. G.;Guo, C. Q.;Jiang, L. M.;Zhou, Y. C.*;Zheng, X. J.
作者机构：
[Hu, H. P.; Zhou, Y. C.] Xiangtan Univ, Key Lab Low Dimens Mat & Applicat Technol, Minist Educ, Xiangtan 411105, Hunan, Peoples R China.;[Hu, H. P.; Guo, C. Q.; Liao, Y. G.] Univ South China, Sch Math & Phys, Hengyang, Hunan 421001, Peoples R China.;[Jiang, L. M.] Hunan Univ Technol, Coll Packing & Printing, Zhuzhou 412007, Hunan, Peoples R China.
会议名称：
3rd International Conference on Heterogeneous Material Mechanics (ICHMM 2011)
会议时间：
MAY 22-26, 2011
会议地点：
Shanghai Univ, Shanghai, PEOPLES R CHINA
会议主办单位：
[Hu, H. P.;Zhou, Y. C.] Xiangtan Univ, Key Lab Low Dimens Mat & Applicat Technol, Minist Educ, Xiangtan 411105, Hunan, Peoples R China.^[Hu, H. P.;Liao, Y. G.;Guo, C. Q.] Univ South China, Sch Math & Phys, Hengyang, Hunan 421001, Peoples R China.^[Jiang, L. M.] Hunan Univ Technol, Coll Packing & Printing, Zhuzhou 412007, Hunan, Peoples R China.
关键词：
ductile/brittle substrates;representative strain;finite element method (FEM);forward/reverse analysis
摘要：
A new approach to extract the mechanical properties of ductile thin films on brittle substrates based on the representative strain (corresponding to the representative stress) has been presented in depth-sensing indentation with finite element method (FEM). Forward and reverse analyses of high deformation symmetry numerical simulation of Berkovich indentation tests are used to determine mechanical properties of ductile films. The proposed reverse analysis provides a new solution for the initial yield stress (or the representative stress) and the strain-hardening exponent, given that the Young's modulus is predetermined from the Sakai method, e.g., as [1]. The validity of the reverse analysis method is checked using the numerical nano-indentation test.
摘要：
An optimal control problem for pseudoparabolic equations with pointwise obstacle type constraints is considered. There is a void interior even in the state constraint set, that is, without satisfying the Slater condition. A generalized solution of pseudoparabolic equations and necessary optimality conditions are established.
作者机构：
[Min, Zhang] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
会议名称：
2nd International Symposium on Engineering Technology, Education and Management (ISETEM)
会议时间：
NOV 21-22, 2015
会议地点：
Dali, PEOPLES R CHINA
会议主办单位：
[Min, Zhang] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
关键词：
Ebola virus;Ebola virus transmission model
摘要：
We research the model for the Ebola outbreak, such as the spread of the disease, the quantity of the medicine needed, possible feasible delivery systems, locations of delivery and the speed of manufacturing of the vaccine or drug. In order to describe the spread of the Ebola virus, we have established a model for the Delay Differential Equations with latency parameter, using the numerical calculation and analysis, the spread of the Ebola virus are described. We found the model to stop the spreed of the virus according to the number of infections, which is connected with the time variable. People are encouraged to cooperate with the government prevention and treatment by the classification isolation and buffer isolation. In order to find the best solution to control the epidemic, examining the Ebola epidemic in Africa and using the shortest path of Floyd-War shall algorithm from the classical location problem, we carefully selected three drug distribution centers. We establish the optimization model of graph theory under an insufficient supply, which make a minimum transportation costs and control the epidemic, according to the location of drug delivery, drug, vaccine production speed and the demand for drug, when drugs were in short supply, we constructed function with correction factor, we converted into a situation to solve the problem under an adequate supply of medicines
作者机构：
[Yi, Xin; Mi, BingJie] Univ South China, Sch Urban Construct, Hengyang, Peoples R China.;[Hu, Heping; Guo, Changqing] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.
会议名称：
2015 4th International Conference on Computer, Mechatronics, Control and Electronic Engineering (ICCMCEE 2015)
会议时间：
2015-09-28
会议地点：
中国浙江杭州
关键词：
Steel high strength concrete column;seismic performance;axial compression ratio;stirrup ratio;steel ratio;finite element analysis
摘要：
In the thesis, simulated analysis of eight steel reinforced high strength concrete column under the low reversed cyclic horizontal load were performed by using the nonlinear finite element software of ABAQUS. The hysteresis behavior, skeleton curve, displacement ductility energy-dissipating capacity of the steel reinforced concrete column under the combined action of the bending, pressing, and shearing were discussed in this thesis. And it also analyzed factors that affect the bearing capacity and ductility of the steel reinforced column, such as axial compression ratio, stirrup ratio, steel ratio. Results indicate that the displacement ductility factor between 2.43 and 3.95; The stirrup ratio have a greater impact on the seismic performance of steel reinforced high strength concrete columns. With the increment of volume-stirrup ratio and steel ratio, the ductility factor increases; As The axial compression ratio increased, bearing capacity increased correspondingly; When steel reinforced concrete column are under higher axial pressure, stirrup ratio has more significant effect on the bearing capacity of structure.
作者机构：
[Luo, Ping; Wu, Fang-Xiang] Univ Saskatchewan, Div Biomed Engn, Sakatoon, SK, Canada.;[Tian, Li-Ping] Beijing Wuzi Univ, Sch Informat, Beijing, Peoples R China.;[Chen, Bolin] Northwestern Polytech Univ, Sch Comp Sci & Technol, Xian, Shaanxi, Peoples R China.;[Xiao, Qianghua] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.;[Wu, Fang-Xiang] Nankai Univ, Sch Math Sci, Tianjin, Peoples R China.
会议名称：
14th International Symposium on Bioinformatics Research and Applications (ISBRA)
会议时间：
JUN 08-11, 2018
会议地点：
Beijing, PEOPLES R CHINA
会议主办单位：
[Luo, Ping;Wu, Fang-Xiang] Univ Saskatchewan, Div Biomed Engn, Sakatoon, SK, Canada.^[Tian, Li-Ping] Beijing Wuzi Univ, Sch Informat, Beijing, Peoples R China.^[Chen, Bolin] Northwestern Polytech Univ, Sch Comp Sci & Technol, Xian, Shaanxi, Peoples R China.^[Xiao, Qianghua] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.^[Wu, Fang-Xiang] Nankai Univ, Sch Math Sci, Tianjin, Peoples R China.^[Wu, Fang-Xiang] Univ Saskatchewan, Dept Mech Engn, Saskatoon, SK, Canada.
会议论文集名称：
Lecture Notes in Bioinformatics
摘要：
In this study, we propose a manifold learning-based method for predicting disease genes by assuming that a disease and its associated genes should be consistent in some lower dimensional manifold. The 10-fold cross-validation experiments show that the area under of the receiver operating characteristic (ROC) curve (AUC) generated by our approach is 0.7452 with high-quality gene-disease associations in OMIM dataset, which is greater that of the competing method PBCF (0.5700). 9 out of top 10 predicted gene-disease associations can be supported by existing literature, which is better than the result (6 out of top 10 predicted association) of the PBCF. All these results illustrate that our method outperforms the competing method.
期刊：
Energy Procedia,2012年16(PARTC):1919-1924 ISSN：1876-6102
通讯作者：
Li, Xu
作者机构：
[Xia, Fengyi; Li, Xu; Ma, Manjun] China Jiliang Univ, Coll Qual & Safety Engn, Hangzhou 310018, Zhejiang, Peoples R China.;[Hu, Jianchao; Ma, Manjun] Univ South China, Sch Math & Phys, Hengyang, Hunan, Peoples R China.
通讯机构：
[Li, Xu] China Jiliang Univ, Coll Qual & Safety Engn, Hangzhou 310018, Zhejiang, Peoples R China.
会议名称：
2011 International Conference on Energy and Environment(ICEE 2011)
会议时间：
2011-01-27
会议地点：
中国广东深圳
关键词：
Closed environments;Self-produced nutri-ment;Mathematical models;Existence of consumer levels
摘要：
From the dynamic point of view we numerically investigate the influence of predator-prey interactions, the death rates, chemotaxis and diffusivity upon the ability of survival of multiple consumer lev
摘要：
Using physical probabilistic measure of price process and the principle of fair premium, we deal with pricing formula of option on Foreign currency option under the assumption that foreign option price process driven by fractional Brownian motion process, we obtain the pricing formula of foreign option.
作者机构：
[Liu, Dongyuan; Tang, Zhigang] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
会议名称：
34th Chinese Control Conference (CCC)
会议时间：
JUL 28-30, 2015
会议地点：
Hangzhou, PEOPLES R CHINA
会议主办单位：
[Tang, Zhigang;Liu, Dongyuan] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
会议论文集名称：
Chinese Control Conference
关键词：
fuzzy multiple objectives decision making;vague sets;objective decision making matrix
摘要：
As a further generalization of fuzzy set theory, the vague set theory can overcome the shortcomings of fuzzy set by describing the membership from two sides of both TRUE and FALSE, rather than only by a single membership value. Since vague sets can provide more information than fuzzy sets, it is superior in mathematical analysis of system with uncertainty. In this paper, a new method vague set-based is proposed to deal with fuzzy decision fusion problem. Compared with traditional fuzzy decision fusion method-such as fuzzy comprehensive evaluation, the new method is more efficient and powerful to fulfill decision fusion with uncertain and inaccurate information. Generally, the new method is the same with group decision fusion and soft fusion.
期刊：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ADVANCES IN MECHANICAL ENGINEERING AND INDUSTRIAL INFORMATICS,2015年15:1526-1530 ISSN：2352-5401
通讯作者：
Zhang Min
作者机构：
[Zhang Min; Zou Shu-liang] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Zhang Min] Univ South China, Sch Math & Phys Sci, Hengyang 421001, Peoples R China.;[Zhang Min; Zou Shu-liang] Hunan Prov Key Lab Emergency Safety Technol & Equ, Hengyang 421001, Peoples R China.;[Guo Shuai] CRUN Power Equipment Co Ltd, Zigong 643000, Peoples R China.
通讯机构：
[Zhang Min] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.
会议名称：
2015 International Conference on Advances in Mechanical Engineering and Industrial Informatics(AMEII 2015)
会议时间：
2015-04-11
会议地点：
Zhengzhou,China
会议主办单位：
[Zhang Min;Zou Shu-liang] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.^[Zhang Min] Univ South China, Sch Math & Phys Sci, Hengyang 421001, Peoples R China.^[Zhang Min;Zou Shu-liang] Hunan Prov Key Lab Emergency Safety Technol & Equ, Hengyang 421001, Peoples R China.^[Guo Shuai] CRUN Power Equipment Co Ltd, Zigong 643000, Peoples R China.
会议论文集名称：
AER-Advances in Engineering Research
关键词：
Cement lining steel pipe;Rigid-flexible coupling;Plastic yield;Mathematical model
摘要：
It is because the matrix arrangement cement lining steel shear which have large elastic-plsatic deformation, yield deformation and slip body, as well as existing multiple complex nonlinear and coupling that traditional methods have not been able to meet the analysis requirements. Therefore, The coupled theory based on elastic mechanics, fracture mechanics and brittle fracture was put forward by considering the change" elastic deformation-plastic yield-shear fracture", and having in-depth discussion about the sheear process. Eventually, a complete mathematical model of matrix arrangement cement lining steel shear has been formed to provides theoretical basis for shear performance and mechanics analysis.
期刊：
2017 IEEE 2nd Advanced Information Technology, Electronic and Automation Control Conference (IAEAC),2017年:2191-2194
通讯作者：
Xu, Youjun
作者机构：
[Xu, Youjun; Liu, Yanqi; Tang, Zhigang] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
通讯机构：
[Xu, Youjun] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
会议名称：
2017 IEEE 2nd Advanced Information Technology,Electronic and Automation Control Conference (IAEAC 2017)
会议时间：
2017-03-25
会议地点：
中国重庆
关键词：
High voltage transmission line;mean filter;histogram equalization;Canny edge detection;Hough detection
摘要：
The research of high voltage transmission line ice block has great challenge, which is different from regions and climate disturbance. In this paper, a new method is proposed to detect the thickness of ice in a specific area (Xingyi Guizhou). For obtaining the thickness of High pressure wire and ice, the mean filter and histogram equalization are used to image preprocessing in order to reduce noise interference, and then the Canny edge operator is used to deal with binarization, and the Hough line is detected. The average thickness of the ice block is obtained according to the diameter thickness of the known high voltage wire.
作者机构：
[Min, Zhang] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
会议名称：
2nd International Symposium on Engineering Technology, Education and Management (ISETEM)
会议时间：
NOV 21-22, 2015
会议地点：
Dali, PEOPLES R CHINA
会议主办单位：
[Min, Zhang] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
摘要：
In this paper, the photoelectric conversion of electric cars is discussed and analyzed, considering the optimization of the area of the body, and the efficiency of the solar panels, a mathematical model is established, which is not considered the economic factor, only considering the solar panels on the surface of a vehicle, but also does not cause too much waste, and maximize the ability to improve the E6. Therefore, first find out the car each area and various solar panels specifications, and then use linear programming to find out the optimal size of the arrangement, so that the program optimization.
作者机构：
[Zhao, Yuhong; Liao, Yanguo; Hu, Heping; Wang, Xiaofeng] Univ South China, Sch Elect Engn, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
会议名称：
International Conference on Frontiers of Environment, Energy and Bioscience (ICFEEB)
会议时间：
OCT 24-25, 2013
会议地点：
Beijing, PEOPLES R CHINA
会议主办单位：
[Hu, Heping;Liao, Yanguo;Wang, Xiaofeng;Zhao, Yuhong] Univ South China, Sch Elect Engn, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
摘要：
In order to improve the efficiency of photovoltaic systems, under different temperature and irradiance conditions, intelligent control techniques for the tracking of the maximum power point were investigated in this paper. Against the problem of Step length selection of the traditional duty ratio perturbation algorithm, a duty ratio perturbation based on genetic algorithm is proposed. It is shown the excellent features of the modified algorithm by simulating this algorithm with MATLAB/SIMULINK software.
作者机构：
[Min, Zhang] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Min, Zhang] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Hunan, Peoples R China.;[Min, Zhang] Hunan Prov Key Lab Emergency Safety Technol & Equ, Hengyang 421001, Peoples R China.
会议名称：
2nd International Conference on Social Science, Management and Economics (SSME)
会议时间：
JUN 18-19, 2016
会议地点：
Shanghai, PEOPLES R CHINA
会议主办单位：
[Min, Zhang] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.^[Min, Zhang] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Hunan, Peoples R China.^[Min, Zhang] Hunan Prov Key Lab Emergency Safety Technol & Equ, Hengyang 421001, Peoples R China.
关键词：
Three-dimensional diffusion partial differential equations;R test;F test;Weighted coverage model
摘要：
This article carries on the thorough discussion and the analysis in view of the nucleus emission source of pollution question, considered the radioactive source locates the flat site establishment mathematical model and the solution, and carries on the computer simulation examination model accuracy, to emits the source of pollution search to provide the theory basis.
