Journal of Jishou University(Natural Sciences Edition)

Construction of Graceful Labeling of Two Types of Graphs

TANG Baoxiang, REN Han

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 1-4.

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Through the constructive approach,we have successfully assigned graceful labels to two classes of graphs:K_2,n,n and K₃∨K_3,n-e,thus confirming their inclusion in the category of graceful graphs.

Local Well-Posedness of Solutions to the MHD and Hall-MHD Systems

WANG Miaomiao, MA Deyi, BIE Qunyi

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 5-10.

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This paper studies the local well-posedness for the 3D generalized incompressible magneto-hydrodynamic (MHD) and Hall-magnetohydrodynamic (Hall-MHD) systems.Firstly,we present the estimations of the heat kernel in Morrey spaces.Then,by using Picard's fixed point argument,we prove that when parameters α₁,α₂ satisfy certain conditions and the initial data satisfies (u₀,b₀)∈Mr,p(R³)，where 1<r<p<+∞ and p>3，the solutions to these two systems are locally well-posed in homogeneous Morrey spaces.

Permanence of a Two-Species Discrete Competition Model with Michaelis-Menten Type Capture in the First Species

LIU Yijian, CHEN Fengde, LI Qianqian

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 11-18.

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In this paper,a two-species discrete competition model with Michaelis-Menten type harvesting in the first species was proposed and studied.A set of sufficient conditions to ensure the permanence of the model are obtained.

Existence of Solutions for a Class of Third-Order Ordinary Differential Equations Boundary Value Problems on an Infinite Interval

SONG Guoxin, GOU Haide, LIU Jingfang

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 19-27.

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This paper investigates the existence of solutions for a class of third-order ordinary differential equation boundary value problems on an infinite interval.Firstly,the boundary value problems is equivalently transformed into the existence problems of fixed points for a class of integral operators in a suitable Banach space.Then,the complete continuity of the integral operators is proved by using the generalized Arzelá-Ascoli theorem.Finally,the Leray-Schauder principle are employed to establish an existence theorem of the solutions for this kind of boundary value problems.

A Type of Infectious Disease Model with Media Impact Factor and Vaccination Rate

WANG Liping, XIE Jingli

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 28-37.

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A type of infectious disease model with media impact factor and vaccination rate has been established.The basic reproduction number of the model was given through the next-generation matrix method.Then,by constructing a Lyapunov function and utilizing the LaSalle invariance principle,the existence and stability of the disease-free equilibrium point and endemic equilibrium point of the model are analyzed.

Space-Filling Property of Complementary Design Based on Doubling

WU Yue, XIE Jiayan, LI Hongyi

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 38-43.

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Taking two-level equidistant designs as the research objects,based on the wrap-around L₂-discrepancy,the generalized wordlength pattern,and the Hamming distance,we discuss the analytical relationship between the double design and the complementary design of the sub-designs in two-level equidistant designs.

Lightweight YOLOv5s with U²-Net for Intelligent Reading of Pointer Meters

SU Yingying, SI Hongyun, TANG Xia, LIU Xinghua, GUO Lixia

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 44-51.

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Aiming at the problem of slow speed of intelligent positioning and low accuracy of reading for pointer meters,a method of intelligent reading for pointer meters based on YOLOv5s and U²-Net is proposed.Firstly,the partial batch normalization layer in the trunk and neck of YOLOv5s is used for channel pruning to realize the model lightweight and improve the speed of meter positioning;secondly,in view of shadow and noisy images collected in the field,the image is enhanced,so as to make the model suitable for complex environments;and then,the U²-Net model is adopted to segment the pointer and the scale,to locate the relative position of pointer on the scale,and to improve the accuracy of readings.Then,the U2-Net model is used to segment the pointer and the scale,locate the relative position of the pointer on the scale,and improve the accuracy of the readings;finally,the distance method is used for meter reading.The results of the experiment and reading test show that the size of the lightweight YOLOv5s model is reduced by 56.35%,the positioning time is reduced by 18.18%,the accuracy of the reading recognition test is 93.42%,the average absolute error is 0.032,the average reading error rate is 0.605%,and the average test time per picture is 0.402 s,which meets the industrial inspection requirements.

Quantum Effects on the Absorption Spectrum of Double Concentric Na Nanoshells

ZHANG Mingfu, SHAN Xinyu, HUANG Yonggang

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 52-60.

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To investigate the quantum effects on the absorption spectra of double concentric sodium nanoshells and compare them with the local response approximation model (LRAM) and hard-wall hydrodynamic model (HDM),the quantum hydrodynamic model (QHDM) was employed based on coupled-mode theory to analyze the coupling characteristics of resonance modes on the inner and outer surfaces of a single shell,as well as the surface plasmon resonance properties of double concentric sodium nanoshells.The results indicate that,for a single-shell structure,LRAM predicts that as the inner cavity radius increases,the low-energy mode redshifts while the high-energy mode blueshifts;when the shell thickness increases,the low-energy mode blueshifts while the high-energy mode redshifts.In the case of the double concentric sodium nanosphere shell structure,when the spacing between shells is large,the two high-energy modes predicted by the HDM model exhibit a significant blueshift compared to LRAM predictions,whereas the same modes predicted by the QHDM model show a substantial redshift.Furthermore,when the outer shell thickness is large,the two low-energy modes predicted by both HDM and QHDM exhibit a slight blueshift relative to LRAM predictions,while the two high-energy modes predicted by HDM show a significant blueshift and those predicted by QHDM demonstrate a significant redshift.

Spontaneous Emission Characteristics of Quantum Dots Near Non-Concentric Nanoshells

ZHANG Shuangshuang, SHAN Xinyu, HUANG Yonggang

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 61-67.

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To investigate the spontaneous emission characteristics of quantum dots near non-concentric sodium-gold (Na,Au) nanoshells,the local response approximation (LRAM),hard-wall hydrodynamic model (HDM),and quantum hydrodynamic model (QHDM) were employed to analyze the effects of core displacement and size scaling on the spontaneous emission intensity.The results demonstrate that as the core shifts from the bottom to the top of the shell,the spontaneous emission intensity decreases,accompanied by a resonance peak shift that first blueshifts and then redshifts.Additionally,increasing the size of the non-concentric nanoshell leads to a reduction in the quantum dot's spontaneous emission intensity.

Skin Effect of One-Dimensional Non-Hermitian Circuit Systems

ZHOU Dongmei, KONG Peng, WANG Xiaoyun, DENG Ke

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 68-72.

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A one-dimensional non-Hermitian Hatono-Nelson single-chain circuit model was designed.By varying the inter-chain coupling strength,the non-Hermitian skin effect in three different parameter conditions was explored.On this basis,circuit simulation experiments were carried out.The results show that when the interchain coupling is reciprocal (Hermitian limit),the system's PBC energy spectrum coincides with the OBC energy spectrum,the generalized Brillouin zone (GBZ) is identical with the Brillouin zone (BZ),and the eigenstates extend throughout the bulk,forming extended states.When the interchain coupling is non-reciprocal with a rightward coupling strength greater than the leftward coupling strength,the PBC and OBC energy spectra differ significantly,the GBZ lies inside the BZ,and the eigenstates localize to the left,forming left skin modes.Conversely,when the rightward coupling strength is smaller than the leftward coupling strength,the PBC and OBC energy spectra also differ substantially,the GBZ encloses the BZ,and the eigenstates localize to the right,forming right skin modes.The skin effect in all three cases can be successfully observed in the circuit simulations,and the experimental results agree well with theoretical calculations.

Vacancy and Doping Modulation Photogalvanic Effect in α-Se Photodetector

WU Xiuwen, LIAO Wenhu

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 73-80.

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First-principles calculations of nonequilibrium Green's function combined with density functional theory are utilized to investigate the photogalvanic effects of α-Se photodetectors in the presence of single-atom vacancies,two-atom vacancies,and doping with Te,W,As,and Cd atoms.The results demonstrate that the single-atom vacancy can break the spatial symmetry of the device more greatly and generate stronger photocurrent.The maximum photoresponse of 32.61 a20/photon is obtained by doping with As atoms,and the extinction ratio of the device reaches 184.9 when Se atom are replaced by Cd atom,and the device possesses a more sensitive visible-light absorption along the y-direction,and the maximum photoresponse in y-direction is 1 369 times higher than that along the x-direction,showing an excellent anisotropic photoresponse.

Sound Insulation Law of Large-Sized Thin-Film Honeycomb Acoustic Metamaterial

JIANG Junqi, LIN Yuanyan, DENG Ke, JIA Han, ZHAO Chenhui

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 81-88.

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Based on a design integrating single-layer PET film and single-layer aluminum honeycomb,this study developed a large-sized thin-film honeycomb acoustic metamaterial.Experimental investigations were conducted to comprehensively analyze the effects of honeycomb core parameters—side length,wall thickness,and height—on the sound insulation performance,along with proposing a novel evaluation metric,that is,the ratio of average sound insulation to surface density.The results demonstrate that the sound insulation performance of the metamaterial exceeds the prediction of the mass law within the 400~1 600 Hz frequency range.Superior acoustic performance is achieved when the honeycomb core possesses a side length of 2 mm,a wall thickness of 0.06 mm,and a height of 10 mm.Higher acoustic efficiency is observed when the honeycomb core has a side length of 7 mm,a wall thickness of 0.05 mm,and a height of 7 mm.

Current Situation of and Countermeasures for Cultivating Teenage Sports Reserve Talents in Shangrao City

YANG Wenshu

Journal of Jishou University(Natural Sciences Edition), 2025, 46(4): 88-95.

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In order to improve the quality of teenage sports reserve talent cultivation in Shangrao City,an investigation was conducted on the current situation of teenage sports reserve talent cultivation in Shangrao City.The survey showed that there were problems in the cultivation of teenage sports reserve talents in Shangrao City,such as incomplete selection mechanism and training system,insufficient financial investment,prominent contradiction between learning and training,and incomplete linkage mechanism for cross subject collaborative training.The cultivation system can be improved from four aspects:to optimize the selection mechanism and training efficiency;to expand the effective supply of resources needed for talent cultivation;to safeguard the legitimate rights and interests of the teenage talents in education;and to promote diversified and collaborative cultivation.

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