- Existence of Positive Solution for a Class of Fractional Four-Point Boundary Value Problems
- PAN Xinyuan, HE Xiaofei
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 1-6.
- Asbtract ( 316 ) PDF ( 104 )
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- Allowed Transformations and Symmetry Groups of Variable-Coefficient Gordoa-Pickering Equation
- SU Dan, YONG Xuelin
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 7-10.
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- Well-Posedness of Solutions of Artificially Compressed Navier Stokes Equations with Jump Noise
- ZHANG Fang
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 11-16.
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- Lattice Boltzmann Method for Spatial Fractional Convection Equations
- WEI Xuedan, LI Mengjun, DAI Houping
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 17-22.
- Asbtract ( 362 ) PDF ( 68 )
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- Quotient Option Pricing Based on O-U Process withStochastic Interest Rate
- LI Jingnan, LIU Huili
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 23-30.
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- Design Efficiency of Three-Level Minimum Projection Uniform Designs
- BAI Qiming, HUANG Xingyou, XUE Huili, LI Hongyi
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 31-37.
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- Design of Filter and Beam Aplitting Device Based on Photonic Crystal Ring Cavity
- WU Cong, SUN Jing, SU Muyang, ZHONG Liang
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 38-44.
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- Changsha Dialect Recognition Based on CTC-GRU Model
- LIANG Xiaolin, SHEN Xiangfei, LIANG Zhao, QIU Hailin
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 45-52.
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- Prediction of Vertical Displacement of Bridge Excavation Based on Neural Network
- LI Jiawen, WANG Chongxu, WANG Hao
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 53-59.
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- Power Limit of Locomotive Traction Motor Under Abnormal Working Conditions
- CHEN Gang, CHEN Xixiang
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 60-67.
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- New Way of Industrialization for Zhangjiajie,a Tourism City
- DENG Yulu
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 68-72.
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- Research Development on the Predictive Value of MELD Score for Short-Term Prognosis of Patients with Alcoholic Liver Disease
- LI Cuiqin, PENG Zhi, LI Xuefeng, XIANG Ping
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 73-77.
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- Resilient Response Mechanism of Agricultural Enterprises Under Major Public Health Emergencies
- ZHANG Huaiying, CHANG Le, LI Lu, GAO Xin
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 78-83.
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- Multiple Linear Regression Analysis of Influential Factors for Cotton Yield in Changji Prefecture
- LI Shuo, WANG Xintong, YANG Jibin, ZHANG Youjiang
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 84-88.
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- Influence of College Innovation Support on Students' Innovative Behavior:Mediating Effect of Motivation for Participation
- PENG Liping
- Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 89-96.
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25 March 2022, Volume 43 Issue 2

Mathematics

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PAN Xinyuan, HE Xiaofei. Existence of Positive Solution for a Class of Fractional Four-Point Boundary Value Problems[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 1-6.

By applying Green's function,Arzela-Ascoli theorem and fixed point theorem on cones,the existence of positive solution is obtained for a class of p-Laplacian type fractional differential boundary value problems.

X

SU Dan, YONG Xuelin. Allowed Transformations and Symmetry Groups of Variable-Coefficient Gordoa-Pickering Equation[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 7-10.

The allowed transformations of the variable coefficient Gordoa-Pickering (VCGP) equation with six arbitrary functions are obtained.These transformations keep the form of the equation invariant but possibly change the arbitrary coefficients.Based on the allowed transformations,two types of Lie point symmetry groups are found.Finally,symmetry reductions and group invariant solutions of the VCGP equation are also considered.

X

ZHANG Fang. Well-Posedness of Solutions of Artificially Compressed Navier Stokes Equations with Jump Noise[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 11-16.

For the difficulty of numerical calculation under incompressible constraints,the artificial compression method is introduced.With Lévy It formula,uniform a priori estimation,local monotonicity and weak convergence method,the existence and uniqueness of strong solutions of the artificial compression Navier- Stokes equation is obtained by the classical Minty-Browder method.

X

WEI Xuedan, LI Mengjun, DAI Houping. Lattice Boltzmann Method for Spatial Fractional Convection Equations[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 17-22.

Lattice Boltzmann model is established to numerically solve spatial fractional convection equations. Through integral mean value theorem and linear interpolation method,the fractional derivative was discretized,and the equilibrium distribution functions in each direction were derived by combining Taylor expansion and Chapman-Enskog multi-scale expansion.Numerical results verify the effectiveness of the constructed model via one-dimensional and two-dimensional problems.

X

LI Jingnan, LIU Huili. Quotient Option Pricing Based on O-U Process withStochastic Interest Rate[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 23-30.

Assuming that the underlying asset follows a multi-dimensional exponential O-U process,and the interest rate follows the Ho-Lee model and the extended Vasicek model respectively.By the multi-dimensional Girsanov theorem and the method of measure transform,we derive the pricing formula of quotient options with uncertain strike price.

X

BAI Qiming, HUANG Xingyou, XUE Huili, LI Hongyi. Design Efficiency of Three-Level Minimum Projection Uniform Designs[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 31-37.

Under the centered L_{2}-discrepancy，the analytical relationship between the uniformity pattern and design efficiency of three-level orthogonal designs with strength 2 is established.For the three-level orthogonal arrays with strength 3，the minimum projection uniformity criterion is equivalent to the design efficiency criterion.For the three-level designs，a tight lower bound of the uniformity pattern is obtained，which can measure whether the design is the minimum projection uniform design.

Wireless Eectronics and Automation

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WU Cong, SUN Jing, SU Muyang, ZHONG Liang. Design of Filter and Beam Aplitting Device Based on Photonic Crystal Ring Cavity[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 38-44.

Based on the resonance coupling principle of photonic crystal ring cavity and waveguide,a three-port photonic crystal dual-function device with two-dimensional triangular lattice was designed,which was composed of ring defect and line defect.The plane wave expansion method and the finite difference time domain method were used to analyze the transmission characteristics of optical wave in the device,and thus the transmission characteristic curve and the light field distribution were obtained.Then the influence of the number and density of the central dielectric column on the transmission efficiency of the output port was discussed.The results show that the frequency can be selected by adjusting the number of central dielectric columns.When the number of medium column was 5,the device achieved the filtering function of 1.346 μm,1.455 μm and beam splitting function of 1.414 μm.According to the influence of the horizontal and vertical spacing of the central column on the transmittance,the optimal structure parameters of the device was obtained,and the transmittance of the filter wavelength and beam splitting wavelength of the device are calculated.

X

LIANG Xiaolin, SHEN Xiangfei, LIANG Zhao, QIU Hailin. Changsha Dialect Recognition Based on CTC-GRU Model[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 45-52.

In order to recognize continuous speech in Changsha dialect with a large vocabulary,a gated linear element neural network model based on Connectionist Temporal Classification(CTC) algorithm is proposed.Firstly,the characteristic parameters of speech are extracted by Mel-scale Frequency Cepstral Coefficients(MFCC),and then the extracted characteristic parameters are input into gated linear unit neural network.CTC algorithm is used for training and optimization,and the whole prediction label of input sequence is obtained.Finally,the results of the CTC model,the GRU model and the CTC-GRU model are compared on the self-built corpus of Changsha dialect,and the Word Error Rate(WER) is taken as the evaluation index.The results show that the CTC-GRU model can achieve faster convergence and greater accuracy compared with the other two models.

Transportation

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LI Jiawen, WANG Chongxu, WANG Hao. Prediction of Vertical Displacement of Bridge Excavation Based on Neural Network[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 53-59.

Based on BP neural network method,the vertical deformation prediction of excavation under the bridge is studied.Firstly,the parameter sensitivity of different soil layers is studied and analyzed.It is concluded that the vertical displacement is only sensitive to the parameter change of the first layer of soil.And then,the control parameters of the neural network are determined as cohesion,internal friction angle,elastic modulus,Poisson's ratio,excavation depth,and excavation length of the first layer of soil.The B-R method is used for iterative calculation Verification of the established network show that the prediction accuracy of the model is high.

X

CHEN Gang, CHEN Xixiang. Power Limit of Locomotive Traction Motor Under Abnormal Working Conditions[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 60-67.

Under abnormal conditions,it is necessary to effectively limit the traction motor power to ensure the normal and safe operation of electric locomotive. On the basis of expounding the influence of the unlimited traction motor output power of electric locomotive on the converter module and the motor,ther esearch focuses on the analysis of the principle of limiting the output power of traction motor under the conditions of abnormal traction network voltage,abnormal cooling water temperature,abnormal traction motor temperature and fault of traction converter module,and then puts forward the specific implementation scheme of power distribution of traction motor under the power limitation mode. The test results show that the electric locomotive can operate according to the set power limit under different abnormal conditions or fault conditions,which verifies the power distribution scheme of locomotive traction motor under power limit conditions.

Characteristic column：Study on Wuling Mountain Area

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DENG Yulu. New Way of Industrialization for Zhangjiajie,a Tourism City[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 68-72.

The necessity,problems and historical opportunities of strengthening industrialization in Zhangjiajie City are analyzed,and suggestions are made to promote the deep integration of industry and tourism,strengthen the construction supporting industrial facilities,cultivate a new industrial system,and improve the policy making for industrial development.

Medical Science

X

LI Cuiqin, PENG Zhi, LI Xuefeng, XIANG Ping. Research Development on the Predictive Value of MELD Score for Short-Term Prognosis of Patients with Alcoholic Liver Disease[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 73-77.

Number of patients with Alcoholic Liver Disease (ALD) tends to increase year by year in China.It is important for clinicians to determine a treatment plan based on the condition and prognosis of each patient in a timely and accurate manner,and the Model for End-Stage Liver Disease (MELD) has been widely used to predict the prognosis of patients with various liver diseases.This paper reviews the study on the predictive value of MELD score for short-term prognosis of patients with ALD,so as to provide a reference for clinical treatment.

Economy and management

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ZHANG Huaiying, CHANG Le, LI Lu, GAO Xin. Resilient Response Mechanism of Agricultural Enterprises Under Major Public Health Emergencies[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 78-83.

Under major public health emergencies,organizational resilience can enable business gain corresponding competitive advantage in the face of market supply and demand turbulence.The resilience sources of the two agricultural enterprises,Muyuan Industrial Group Co.,Ltd.and New Hope Group Co.,Ltd. are explored.An emergency response mechanism for agricultural enterprises based on organizational resilience is established in initiation period,duration period,regression period and contingency period.This study provides reference for the agricultural enterprises to improve their management "immunity" and establish a crisis management mechanism based on resilience.

X

LI Shuo, WANG Xintong, YANG Jibin, ZHANG Youjiang. Multiple Linear Regression Analysis of Influential Factors for Cotton Yield in Changji Prefecture[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 84-88.

Two variables,rainfall and planting area,were selected to establish multiple linear regression model,and the influential factors for cotton yield were analyzed to provide reference for cotton production in Changji Prefecture.

X

PENG Liping. Influence of College Innovation Support on Students' Innovative Behavior:Mediating Effect of Motivation for Participation[J]. Journal of Jishou University(Natural Sciences Edition), 2022, 43(2): 89-96.

To explore the influence mechanism of college innovation support on students' innovative behavior,this paper examines the relationships among college innovation support students' motivation for participation and students' innovative behavior.Analysis of 604 samples from five universities in Hunan reveal that college innovation support exerts a significantly positive influence on students' innovative behavior.Students' motivation,including self-strengthening and social-strengthening motivation,has mediating effect.