Journal of Jishou University(Natural Sciences Edition)

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01 January 2025, Volume 46 Issue 1

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Mathematics

Iterative Algorithm for the Optimal Approximation Solution of Matrix Equations AXB+CX^TD=E with Generalized Constraint

YANG Jiawen, WAN Peng, LIANG Jinrong

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 1-11.

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An iterative algorithm is presented to calculate the optimal approximation solution of the matrix equations AXB+CX^TD=E with constraint conditions GX=H.It is proved that given a special initial matrix satisfying the generalized constraints,the minimal norm least squares solution of the matrix equation under the generalized constraints can be obtained by the finite-order iterative algorithm,and the optimal approximation solution can be calculated by using the minimal norm least squares solution.

An SIS Epidemic Model with Delay Effect

WANG Yuqin, XIE Jingli, ZHAO Jialu, LI Jialong

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 12-17.

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The dynamical properties of a class of SIS infectious disease models with time delay effects and logistic growth are investigated.The non-negativity and boundedness of the model solutions are proved by using the basic theory of functional differential equations and the constant variational method,and the conditions for the local stability of the equilibrium points are obtained by combining with the characteristic equations.Taking the time delay τ as the branching parameter,the conditions for Hopf branching of the endemic equilibrium points when they are unstable are obtained by Hopf branching theory.

Solving the One-and-Two Dimensional STO Equations Based on the PINN Method

WANG Jing, DAI Houping, DONG Yaru

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 18-24.

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Physically informed neural networks (PINN) model are used to solve the one-and two-dimensional Sharam-Tasso-Olver equations.
The macroscopic equations and their initial margin conditions are used as physical information and transformed into the form of residuals,which are then used to construct a loss function to incorporate into the training process of the PINN model,and the Adam optimisation algorithm is used to achieve a high-precision solution.The numerical example results show that the loss function has high accuracy under a certain number of iterations,which verifies the reliability of the PINN model.

Computer

Surface Reconstruction of Discrete L₂ Model Based on Conjugate Gradient Method

FU Feifan, YANG Fenlin, LIU Guangying, AN Geng

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 25-31.

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Euler Lagrange equations with Neumann boundary are generated when the functional of optimization problem is solved by calculus.To solve this problem,the L₂ model is discretized by using maximum likelihood estimation,and a discrete L₂ model that can handle free boundaries is obtained.The optimal linear conditions are solved by conjugate gradient method,and the surface to be reconstructed is obtained.The numerical results show that compared with the fast Fourier transform method and Horn-Brook's method,the image boundary obtained by the conjugate gradient method is smoother and more robust.

Surface Reconstruction Based on Spatial Adaptive Parameters

LIU Guangying, YANG Fenlin, FU Feifan, AN Geng

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 32-38.

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The least-squares model is capable of reconstructing smooth surfaces,but the depth discontinuity features can be blurred.In order to solve this problem,a spatially adaptive parameter is constructed by introducing the productivity term and Geary-Hinkley transform into the least squares model,an anisotropic weighted least-squares model is established;then the model is discretized by the 4-direction discretization formula,and the optimality condition is given;finally,the Krylov subspace method is used to solve the model.The numerical experimental results show that the anisotropic weighted least-squares model can keep the depth discontinuity of the surface,and the reconstruction effect is better than that of the least squares model.

Physics

Higher-Order Topological Corner States in 2D Valley Phononic Crystals Topological Insulators

JIANG Jing, KONG Peng, DENG Ke

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 39-44.

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Based on the quantum valley-hall effect,a two-dimensional valley phononic crystal topological insulator with C_3vsymmetry has been designed.By rotating the angle of the scatterers inside the lattice,the topological properties of the lattice were changed.A supercell structure was constructed using two-dimensional valley phononic crystals with different topological phases,and the high-order topological corner states were investigated.The results show that when the rotation angle is changed,the symmetry of the system will decrease from C3v symmetry to C₃ symmetry.When -30°<θ< 0°,the system corresponds to a non-trivial phase,while when 0°<θ<30°,the system corresponds to a trivial phase.When the internal lattice has a non-trivial phase and the external lattice has a trivial phase,there are three continuous corner states at the corners of the Zigzag boundary of the supercell structure.However,when the internal lattice has a trivial phase and the external lattice has a non-trivial phase,there are no corner states in the supercell structure.Before and after introducing disorder defects,the intrinsic field distribution of the corner states shows no significant change,demonstrating good robustness.

Low Frequency Wideband Sound Absorber Based on Extended-Neck Helmholtz Resonance

XIAO Yafeng, YU Yuchi, WANG Jiahao, XU Feng, SHEN Danheng, LIU Yaoguang, LIN Yuanyan, KONG Peng, DENG Ke

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 45-50.

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In order to solve the problem of low frequency sound absorption of Helmholtz resonator,an efficient wideband sound absorber with deep subwavelength thickness was designed by combining arrayed extended neck with Helmholtz resonance structure.The results show that the thickness of the absorber is only 1/36 of the wavelength corresponding to the absorption peak frequency,showing the sound absorption characteristics of deep subwavelength.When the resonant frequency is 315 Hz,the absorption peak amplitude of the sound absorber is as high as 0.985,which almost realizes the perfect absorption of sound energy.The sound absorption mechanism of the sound absorber is mainly due to the friction loss of sound energy in the inner wall of multiple extended necks.The arrayed extended neck provides additional tunability for the acoustic impedance of the absorber,and the operating frequency and bandwidth can be flexibly tuned in a wide band.Among the structural parameters,both the extended neck aperture and the extended neck tube length significantly affect the sound absorption performance of the sound absorber.The sound absorber has simple structure,thin thickness and good low frequency sound absorption performance.

Chemistry and chemical engineering

Enhanced Biological Phosphorus Removal Process in Chemical Coagulation Treatment of Brewery Wastewater

WANG Ziyan, ZHOU Zhixuan, HU Wenyong, ZHOU Yu

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 51-57.

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On the basis of optimizing the dosage sites of composite chemicals (PAC+PFC+PAM),the total phosphorus (TP) removal efficiency was investigated with different pH,initial TP concentrations,Al，Fe，P molar ratio.Combined with the XRD phase analysis.The phosphorus removal mechanism of PAC+PFC+PAM was preliminary explored.The results show that the outlet point of BAF tank was the best adding point of PAC+PFC+PAM.The n(Al)∶n(Fe)∶n(P)=0.76∶0.50∶1.00,and the pH was 8.0.The TP removal efficiency was 98.72%.Moreover,the TP removal efficiency was hardly affected by the change of TP concentration of the influent water.The TP content of the effluent water was lower than 2.0 mg/L.In addition,the XRD results showed that the main components of the precipitates were FerPO₄(OH)_3r-3 and Al(OH)₃.

Study on Synthesis of 5-Amino-4-Nitrile-1,3-Diphenyl Pyrazole Catalyzed by Supported Ionic Liquid

WEN Shiyue, AO Rongdong, LIN Shiyao, LI Peixi, ZHANG Yutao, HU Yulin

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 58-64.

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In this study,a type of supported imidazolium ionic liquid SiO2@IL has been designed and synthesized.Its structure was analyzed by FT-IR,XRD,SEM and EDX.It was then applied to the one-step condensation reaction of malononitrile,benzaldehyde and phenylhydrazine to prepare the target product 5-amino-4-nitrile-1,3-diphenyl pyrazole.The results showed that the optimized reaction conditions for the condensation reaction were water as the solvent,0.3 g of catalyst,a reaction temperature at 45 ℃ and a reaction time for 3 h,under which the product yield was as high as 92%.Under the optimized process conditions,the catalytic reaction process could be scaled up to the molar level.The supported catalyst was easily separated from the product phase and could be stably recycled at least five times.This method had mild conditions,simple post-processing,high product purity,stable process,which meets the development direction of green chemistry and possesses good industrial application prospects.

Transportation

Numerical Analysis on Working Performance of Composite Support with Bolt-Shotcrete and Reinforced Rib Under High Geostress

LIAO Zhihe, QIN Weixing, HE Lijie, DAI Yu, HU Wei, YAO Di

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 65-69.

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In order to reveal the joint bearing mechanism and working performance of shotcrete liner,radial bolt and reinforced rib in the composite structure under high geostress,the mechanical response of the composite support in a soft tunnel with a geostress of 30 MPa was conducted based on the finite difference method which can consider the broken failure effect of bolt.The simulation results show that the composite support can effectively restrict the deformation of weak surrounding rock and has good overall stability under high geostress,but the radial bolts are broke at the top of the tunnel,and continuous plastic yield zone appears in the shotcrete liner and reinforced rib on both sides of the tunnel walls.It is recommended to appropriately increase the strength parameters of the bolts and the concrete on both sides when designing the composite support with bolt-shotcrete and reinforced rib for weak rock masses under high geostress.

Medical

History,Current Situation,and Prospect of Military Materia Medica Research

LI Yanzhen, JIN Shuo, LIU Si, LONG Sisi, TANG Jingyue, ZHANG Zuxin, YE Fan, CHEN Gongxi

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 70-77.

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Military materia medica plays an important role in preventing and treating infectious diseases and trauma.It represents a convergence of Chinese herbal medicine and military medicine,integrating traditional and modern approaches.The development of military materia medica combines the research theories,methods,and techniques from medicine and pharmacology.Throughout history,herbalists have substantially contributed to the research and development of military herbology,achieving notable achievements.However,despite the rich history of China's military materia medica and the advanced nature of the application research,the research scope is limited and the foundational theoretical research is relatively weak.To address these gaps,it is necessary to strengthen the investigation and research of military materia medica resources in key regions,advance research on key categories and basic theories,and highlight the role of military materia medica in modern national defense.

Traditional Chinese Medicine Management of Excessive Stomach Heat Type Periodontitis:A Clinical Research Review

HU Caihua, LI Chao, CHANG Chen, GONG Lingziyun, OU Zhongmin, LI Qican, ZHANG Luoqin

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 78-84.

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By reviewing and screening the literature on the treatment of periodontitis with excessive stomach fire in Chinese medicine from 1995 to 2024,which was included in databases such as CNKI,Wanfang,and VIP,this paper summarizes the research progress of Chinese medicine in the treatment of this disease.The results show that periodontitis falls within the category of "tooth socket wind and tooth bleeding" in Chinese medicine.The most common clinical syndrome is excessive stomach fire,which is caused by accumulated heat in the stomach ascending along the meridians.The treatment principle is to clear stomach heat and purge fire,cool blood and detoxify.The clinical treatment methods of periodontitis with excessive stomach fire in Chinese medicine are diverse,including traditional Chinese herbal medicine,acupuncture,auricular point plaster,and gargling.The main treatment method in clinical practice is traditional Chinese medicine,with frequently used herbs including coptis,rehmannia,paeonia,cimicifuga,and angelica.The therapeutic mechanism mainly involves reducing the levels of pro-inflammatory cytokines,reducing oxidative stress responses,inhibiting the growth of periodontal pathogenic bacteria,and enhancing the activity of periodontal ligament stem cells.The treatment of this disease with Chinese medicine is effective,safe,has few side effects,and is well accepted by patients.

Progress in Surgical Treatment and Perioperative Management of Pterygium

TIAN Ruonan, PENG Zhengyu

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 85-89.

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By analyzing the recent research achievements at home and abroad on the surgical treatment of pterygium,the progress in surgical treatment methods,preoperative management,intraoperative management,postoperative management,and the prevention and treatment of surgical complications was explored.The surgical treatment methods mainly include pterygium excision + autologous limbal stem cell transplantation,pterygium excision + autologous conjunctival transplantation,pterygium excision + amniotic membrane transplantation,and pterygium excision + autologous limbal stem cell transplantation + amniotic membrane transplantation.Preoperative management mainly includes the auxiliary treatment with argon laser and the preservation of biological amniotic membrane.Intraoperative management mainly includes the application of femtosecond laser and the selection of suture methods.Postoperative management mainly involves the application of cyclosporine A,bandage contact lenses,and 5-fluorouracil.The prevention and treatment of surgical complications mainly involve recurrent pterygium and other complications (such as subconjunctival hemorrhage,graft edema,graft detachment,graft retraction,graft slippage,granuloma,etc.).

Education

Impact of Policy Perception on College Students' Grassroots Employment Intention:A Moderated Mediation Model

PENG Liping

Journal of Jishou University(Natural Sciences Edition), 2025, 46(1): 90-95.

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To investigate the impact of policy perception on college students' grassroots employment intention,a mediating model was constructed in which policy perception impact s college students' grassroots employment intention through public service motivation,and the moderating role of career adaptability in this model was examined.Using structural equation modeling on 1 320 valid questionnaires,the results showed that:policy perception had a significant positively predictive effect on college students' grassroots employment intention.Public service motivation played a mediating role between policy perception and college students' grassroots employment intention.Career adaptability moderated both the direct effect of policy perception on college students' grassroots employment intention and the indirect effect through public service motivation.