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January 15,2013
Volume 6,Issue 1
Pages -
Subject Area:Applied Mathematics,Function Approximation Theory,Functional Analysis

Title: FDI and environmental pollution: the evidence from China

Authors: ZHENG Jialu, WANG Yanli
PP: 91-96
Abstract: In this paper, a panel data from 2000 to 2009 was used to establish a simultaneous equation model. The correlation of foreign direct investment (FDI), environmental pollution and environmental regulation was analysized based on generalized method of moments (GMM) estimation. The results showed that the FDI utilization ratio in China is low. Compared to the contribution of FDI to economic development, its negative impact on environmental pollution is more worthy concerning. Furthermore, FDI prefers to flow areas with loose environmental regulation.
Keywords: international finance; foreign direct investment; environmental pollution; simultaneous equation model

Title: Differences of the housing price fluctuations between main urban and suburban areas in Chinese cities: a case of Guangzhou city

Authors: WANG Jiang, CHEN Zhangxi
PP: 82-90
Abstract: This article took Guangzhou city as an example. Firstly, the fluctuation differences of housing price between main urban and suburban areas was described. Then an empirical test was made based on the panel data of 10 districts in Guangzhou city from Q4 2005 to Q1 2010. The results showed that the anticipation and the influence degree by the housing price in peripheral areas were the main reasons for the differences in the housing price fluctuations between main urban and suburban areas. For the differences of the housing price fluctuation in the whole city, the main urban areas and the surburban areas, the effect of actual mortgage rates was not obvious, but the real estate tax had effects on different degrees. The state and the local government of the city should set down reasonable policies to guide the stable development of the real estate market in cities.
Keywords: urban economics; main urban areas; surburban areas; housing price; fluctuation differences

Title: Embodied energy calculation in import and export trade in Jiangsu province

Authors: SHI Haihong, LONG Ruyin
PP: 73-81
Abstract: Embodied energy in international trade in Jiangsu province during 1997-2010 was calculated by input-output method. According to energy consumption coefficient of Jiangsu province, it was found that the import and export embodied energy in Jiangsu province was in a state of fluctuation during 1997-2010, Jiangsu province was a net embodied energy import origin during 2000-2006, while a net embodied energy export origin during 1997-1999 and 2007-2010. According to energy consumption per unit of GDP of importing country, the import and export estimation showed that Jiangsu province was a net embodied energy export origin in most years (1997-2002 and 2005-2006), the embodied energy import was greater than export in a few years (2003 and 2004). Taking embodied energy and actual energy into account, Jiangsu province was a net energy export origin whether embodied energy was calculated by Jiangsu consumption factor or by energy consumption per unit of GDP of importing country.
Keywords: quantitative economics; import and export trade; embodied energy; input-output method

Title: Analysis on regional differences in knowledge growth efficiency of China based on R&D model

Authors: SU Chuying, ZHENG Shaozhi
PP: 66-72
Abstract: The purpose of this paper is to explore whether the regional differences of knowledge growth efficiency exist, and whether the phenomenon of the areas in low technology level catching up with the high ones exists. This paper estimated the stocks of patent application in Mainland China (except Tibet) from 2004 to 2009 by perpetual inventory method. Based on the knowledge production function in R&D model and China’s science and technology statistics data, the equation about regional differences in knowledge growth was built by ZOU Zhichuang-test. Furthermore, this paper found that the production efficiency of R&D funding and R&D staff of the high technology level areas is higher than the low technology level areas, but the growth acceleration in the low technology level areas is higher that that in the high technology level areas, so the low ones are catching up with the high ones. However, the growth acceleration of the general technology areas is the same with the high ones, so the gap between them will become bigger.
Keywords: quantitative economics; R&D model; perpetual inventory method; efficiency of knowledge growth; ZOU Zhichuang-test

Title: A supply chain scheduling problem of delivering jobs to multiple customer locations

Authors: CHEN Rui, ZHANG Yuzhong, CHEN Lizhong
PP: 60-65
Abstract: This paper incorporates the delivery plan of a vehicle into a single manufacturing facility model. The objective is to determine the job processing sequence in the plant together with the delivery schedule so as to minimize the total job weighted arrival times. For the case of the problem in the condition of vehicles with direct and indirect transport, several conditions with that whether the vehicle has capacity limit are considered. We develop a polynomial time algorithm and analyze time complexity in each case for some special cases of this problem.
Keywords: operational research; supply chain scheduling; dynamic programming algorithm; time complexity

Title: Interaction analysis of stressor with coping style on college students’ mental health

Authors: ZHOU Linlin, CHU Yangjie
PP: 54-59
Abstract: Objective: To explore whether there is the interaction of the stressor with the coping style in the process of affecting the college students’ mental health. Methods: 500 college students were collected as the research objects. They were tested with college students stressor questionnaire edited themselves, coping style questionnaire and self-rating questionnaire (SCL-90). Results: The interaction of the stressor with the coping style was existed. The correlation between stressor and mental health was prominent, it is the direct reason for causing the college students’ psychological crisis. The mature coping style had a positive role on promoting mental health, while the immature coping style had a negative impact on mental health. Conclusion: The interaction of the stressor with the coping style is prominent, and the effects of interaction on the mental health is also significant.
Keywords: applied mathematics; interaction; structural equation model; stressor; coping style; college students’ mental health

Title: Analysis of a tubercle bacillus immunity-antigen model

Authors: ZHANG Pei, ZHANG Juan
PP: 47-53
Abstract: In this paper, the dynamics model was formulated to describe the interaction of Mycobacterium tuberculosis with macrophage cells. By the qualitative and stability theory of the differential equations, the asymptotic behaviors of the model were analyzed. The existence and stability properties of all equilibria points were determined. Furthermore, it was proved that the backward bifurcation existed in the model, and the conditions for backward bifurcation were obtained.
Keywords: applied mathematics; dynamics model; asymptotic behavior; backward bifurcation; Mycobacterium tuberculosis; macrophage cell

Title: World population prediction based on least square cubic polynomial fitting model with forgetting factor

Authors: ZHANG Yunong, CHEN Yuxi, LAO Wenchao
PP: 42-46
Abstract: The problem of world population is one of the most important factors which influence the development of human society. In order to obtain a comprehensive and well world population prediction (WPP), based on forgetting factor, a novel least square cubic polynomial fitting model is proposed according to history population data. In addition, this model is used to predict the population from 2015 to 2100. Study results showed that this model can correctly reflect the changing regularity of future world population with the characteristics of simplicity, rationality and convenience.
Keywords: applied mathematics; world population prediction; cubic polynomial fitting model; forgetting factor; least square; history population data

Title: CVaR estimation and application based on AR-GARCH-EVT model

Authors: XIE Shaokui, YAN Dingqi
PP: 36-41
Abstract: In this paper, in order to solve the volatility clustering and fat tails of financial asset sequence data, we combined the advantages of extreme value theory for solving fat tails and the advantages of generalized autoregressive conditional heteroskedastiaty (GARCH) class models for solving clustering volatility, and introduced the concept of conditional value at risk (CVaR). Then, we got the general model of AR-GARCH-EVT-CVaR. By actual calculation and comparison, we found that the proposed method gave a better 1-day CVaR-estimation than CVaR estimation.
Keywords: probability theory and mathematical statistics; conditional value at risk; extreme value theroy; generalized Pareto distribution; risk control

Title: Analysis of interconnected grid regional electricity price index based on robust regression

Authors: WANG Bo, HE Fengxia
PP: 32-35
Abstract: Based on the interconnected grid regional economic theory, this paper establishes a robust regression model of the industrial factory electricity tariff index and energy consumption, industrial output value index (1990-2008) in China, Analysis results showed that robust regression model established through M-estimators was more effective on data analysis, and could reduce the impact of the outliers.
Keywords: mathematical statistics; robust regression; M-estimators; electricity price index analysis

Title: A corrected hybrid approach for predicting the number of monthly new outbreaks of CSF

Authors: MAO Zeqiang, JIAO Guimei
PP: 23-31
Abstract: In this paper, the data of monthly new outbreaks of classical swine fever (CSF) in Guizhou province from January 2007 to December 2010 were used for model training, GM(1,1) and ARIMA(p, d, q) models were used for the fitting. And the data of autual CSF outbreaks of the first 11 months in 2011 were used to test the effectiveness of the models. Based on the two models, this paper gave two methods (weighted combination model and residual error correction model) to improve the above models. Through the model prediction effect evaluation, residual error correction model was selected since its prediction effect was better than GM(1,1), ARIMA(p, d, q) and weighted combination model respective. This provides an effective method for the prediction of the discrete integer datum.
Keywords: time series analysis; gray prediction; GM(1,1); ARIMA(p,d,g); combined model

Title: The bidiagonal factorizations of certain sign regular matrices

Authors: ZHAO Yingyan, HUANG Rong
PP: 16-22
Abstract: A matrix is called sign regular if all minors with the same order have the same sign or zero. The bidiagonal factorization plays an important role in high relative accuracy computations. In this paper, the factorizations of certain sign regular matrices as a product of bidiagonal matrices is presented in terms of Neville elimination.
Keywords: numerical algebra; sign regular matrices; bidiagonal matrices; Neville elimination

Title: Sharp Jackson inequality in weighted L2-space of half real axis with generalized Laguerre weight

Authors: SUN Huan, LIU Yongping
PP: 8-15
Abstract: The goal of this article is to consider the precise Jackson inequality of the best approximation of function defined on the positive half axis by algebraic polynomials of n-order in the weighted L2-space with generalized Laguerre weight. Using this well-known generalized translation operator and the generalized modulus of continuity defined in the L2-space of function,and the orthogonal expansion by generalized Laguerre polynomials, the question for solution was transformed into the extremal problem of a set of series with positive terms and some factors of coefficients with imposed restrictions on them. Then through a suitable estimate to this extreme value, the precise constant of the best approximation under the control of the generalized modulus of continuity was obtained finally.
Keywords: approximation of function; Jackson inequality; half real axis; Laguerre weight

Title: A strong convergence theorem based on a hybrid projection algorithm for equilibrium problems and fixed point problems of two finite families of hemi-relatively nonexpansive mappings

Authors: BU Shangquan, CAI Gang
PP: 1-7
Abstract: The purpose of this paper is to introduce a hybrid iterative scheme for finding a common element of the equilibrium problem solution set and the common fixed point set of two finite families of hemi-relatively nonexpansive mappings in the framework of Banach spaces. More precisely, we prove that the sequence generated by the hybrid iterative scheme converges strongly to an element of the above two solution sets. Our results improve and extend the recent ones announced by many others.
Keywords: functional analysis; convergence theorem; hybrid iterative method; hemi-relatively nonexpansive mapping; equilibrium problem

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