Journal of Jishou University(Natural Sciences Edition)

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25 September 2025, Volume 46 Issue 5

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Mathematics

Derivation of the General Formula of Higher Order Linear Recursive Sequences by Using Matrix Methods

FEI Mingbing, ZHUO Zepeng

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 1-4.

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By introducing column vectors,the problem of finding the general term of a high-order linear recursive sequence is transformed into a problem of finding the power of a square matrix,and then the general term of a high-order linear recursive sequence is obtained by using the theory of Jordan's canonical form with the theory of matrix representation between vectors.

Existence of Solutions of a Schrdinger-Bopp-Podolsky System with Vanishing Potential

JIANG Qiaoyun, LI Lin

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 5-9.

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The existence of non-trivial solutions of a class of Schrodinger-Bopp-Podolsky system is studied by using variational method and mountain pass theorem,whose potential is vanishing potential,and the nonlinear term meets the super quartic condition.

Convergence Analysis of Numerical Solution of Delayed Interest Rate Model with Poisson Jumps

FENG Denghong, LI Zhimin

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 10-18.

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An Ait-Sahalia interest rate model is constructed with delayed volatility driven by Poisson jumps,and its dynamic properties are investigated through a modified truncated Euler-Maruyama (EM) method.Under the theoretical framework of local Lipschitz conditions and Khasminskii-type conditions,it is proved that the numerical solution generated by the modified truncated EM method converges strongly to the true solution of the model.

Finite-Time Synchronization of Discontinuous Inertial Neural Networks Based on Event-Triggered Mechanism

ZENG Zhiyuan, DAI Houping, CHEN Teng

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 19-28.

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The finite-time event-triggered control problem of a class of time-delay inertial neural networks with discontinuous activation functions is studied.The second-order inertial neural network is transformed into the form of a first-order neural network through the variable substitution method.Based on the characteristics of discontinuous activation functions,the solution of the neural network is defined using the Filippov solution framework.A new event-triggered controller is designed in combination with the finite-time stability theory,and the trigger interval is restricted to avoid the Zeno phenomenon.On this basis,the discrimination criteria for the network to achieve finite-time synchronization are derived to ensure that this type of second-order inertial neural network achieves synchronization within a finite time.

Computer

Watermarking Algorithm Against Rotation Attack Based on Multi-Transform Domain

YU Shuaizhen, YIN Hongcai, XIE Daoping

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 29-36.

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To enhance the ability of transform domain digital watermarking to resist rotation attacks,the article proposes a watermarking algorithm that fuses multiple domains to resist arbitrary rotation angle attacks.First,the host image is subjected to DWT transformation,then the low-frequency coefficients of the last level are subjected to SVD,and finally,based on the size of the watermark information an appropriate position in the singular value matrix is selected to embed the scrambled and encrypted watermark signal.The experimental results show that the algorithm has good watermark information hiding ability and can completely resist single rotation attacks ranging from 1°~360°.At the same time,it has strong robustness against combination attacks of image rotation attacks combined with cropping,JPEG compression and other attacks,and can effectively resist conventional signal processing.

An Improved Multi-Strategy Sparrow Search Algorithm Based on Iterative Chaotic Mapping

YU Cunwei, ZHANG Xianyu, LIU Xinyu

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 37-44.

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An improved multi-strategy sparrow search algorithm based on iterative chaotic mapping(IMSSA-ICM) is designed to address the problems of low accuracy and susceptibility to local optima in sparrow search algorithm.In the sparrow search algorithm,iterative chaotic mapping is used to initialize the sparrow population,and elite opposition-based learning and Levy flight strategy combined with roulette wheel selection mechanism are introduced to perturb the sparrow update position to optimize the traditional sparrow search algorithm's insufficient search accuracy and susceptibility to local extremum problems.On 12 benchmark test functions,IMSSA-ICM is compared with 5 classic swarm intelligence optimization algorithms.Simulation results show that IMSSA-ICM outperform the other 5 algorithms in terms of solving accuracy and escaping local optima.

Physics

Valley Phenomena and Corner State Realization in Bilayer Hexagonal Phononic Crystals

LIU Fang, WANG Jiahao, KONG Peng, ZHAO Heping, DENG Ke

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 45-52.

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Benefiting from valley-selective excitation and suppressed acoustic backscattering in valley topological insulators,we designed a mirror-symmetric bilayer hexagonal phononic crystal.Breaking spatial symmetry by adjusting the scatterers' orientation induces valley states.Numerical simulations show different valley topological phases emerge under varying scatterer angles,enabling selective path transport.Furthermore,constructing a triangular supercell with two valley topological phases in the bilayer hexagonal phononic crystal yields two sets of triangular corner states.

Multipole Corner States and Edge States of the Orbital Kagome

XIE Wenjie, WANG Xiaoyun, KONG Peng, DENG Ke

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 53-58.

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To study the orbital topological states in phonon crystals,a special orbital Kagome lattice supporting p orbitals was constructed by connecting disc-shaped acoustic cavities with a pair of parallel coupling tubes,and the corner states of the Kagome lattice in the p orbital mode were explored.The results show that the lattice corner states are rich in both types and quantities,and are divided into type Ⅰ corner states and type Ⅱ corner states,with a total of 24.Type Ⅰ corner states are formed by the orbital interactions between the two outermost atoms.There are four types (Type Ⅰ σ -symmetric corner states,type Ⅰ σ-antisymmetric corner states,type Ⅰ π -symmetric corner states,and type Ⅰ π -antisymmetric corner states).Type Ⅱ corner states are corner states that do not rely on long-range coupling.There are also four types,including type Ⅱ σ symmetric corner state,type Ⅱ σ antisymmetric corner state,Type Ⅱ π symmetric corner state and Type Ⅱ π antisymmetric corner state.

Medical

Study on the Effect and Mechanism of Semen Raphani Oil in the Treatment of Chilblains

LEI Yan, JIN Shuo, DI Kaiyin, LIU Yuhui, YANG Ting, XIAO Ya, XU Da, WU Guanghui

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 59-68.

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To investigate the anti-chilblain effect and mechanism of Semen Raphani oil,a mouse chilblains model was established to observe the effects of Semen Raphani oil on paw swelling rate,pain threshold,and pathological changes in chilblained tissues.Network pharmacology was used to explore the anti-chilblain components,targets,and signaling pathways of Semen Raphani oil.Animal experiments showed that Semen Raphani oil significantly alleviated paw swelling,increased the pain threshold in chilblained mice,relieved skin edema,and reduced the number of mast cells in chilblained tissues.Network pharmacology predictions indicate that Semen Raphani oil may interact with 38 potential targets in the treatment of chilblains.The core targets include MAOB,HSP90AB1,PTGS2,PTGS1,ACTB,MYC,PGR,NCOA2,RELA,and RXRA.The primary signaling pathways involved are neuroactive ligand signaling,chemical carcinogenesis-receptor activation,human cytomegalovirus infection,and the phosphatidylinositol-3-kinase-protein kinase B (PI3K-Akt) pathway.Key biological functions associated with these targets include smooth muscle contraction,xenobiotic stimulus response,and thermogenesis.

Efficacy and Adverse Reactions of Microwave Ablation for Non-Small Cell Lung Cancer#br#

REN Yuanmeng, LU Liqun, XU Jinhong, LEI Mingsheng, SHANG Xi

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 69-76.

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Through a search of Chinese and English databases,publicly published articles in domestic and international journals on microwave ablation for the treatment of non-small cell lung cancer were identified.A total of 19 articles were included.A Meta-analysis was conducted to evaluate the efficacy and adverse reactions of microwave ablation in the treatment of non-small cell lung cancer as reported in these articles.Trial sequential analysis was then employed to verify the stability of the results in the literature and to calculate the sample size required for consistent results.The results indicated that,compared with radiotherapy and chemotherapy alone,microwave ablation combined with radiotherapy and chemotherapy significantly improved the complete response rate (P<0.000 01),partial response rate (P=0.01),and overall response rate (P<0.000 01) of patients,without significantly increasing the incidence of adverse reactions such as myelosuppression (P=0.13),gastrointestinal reactions (P=0.79),and pneumothorax (P=0.43).Regarding the complete response rate and overall response rate,the current research results are consistent.However,for the partial response rate,myelosuppression,gastrointestinal reactions,and pneumothorax,the current research results are inconsistent,and further verification with a larger sample size is still required.

Ultrasound Visualized Stellate Ganglion Block Combined with Acupoint Catgut Implantation for the Treatment of Intractable Insomnia

ZHANG Jiancheng, ZHOU Tenghao, ZHENG Hao

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 77-81.

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To explore the clinical effect of ultrasound-guided stellate ganglion block combined with acupoint catgut implantation therapy in the treatment of intractable insomnia,60 patients with intractable insomnia who visited Shenzhen Pingle Orthopedic Hospital from January 1,2022 to December 31,2023 were selected as the research objects and randomly divided into the control group and the treatment group,with 30 cases in each group.The control group was treated with acupuncture,while the treatment group was treated with ultrasound-guided stellate ganglion block combined with acupoint catgut implantation therapy.The treatment course for both groups was 10 days.The effective rate and pittsburgh sleep quality index (PSQI) scores of the patients before and after treatment were analyzed.The results showed that the number of cases with complete recovery and marked improvement in the treatment group was significantly higher than that in the control group;the number of cases with no improvement in the treatment group was significantly lower than that in the control group;the effective rate of the treatment group was significantly higher than that of the control group;compared with the control group after treatment and the treatment group before treatment,the scores of 7 factors (sleep quality,sleep latency,sleep duration,sleep efficiency,sleep disturbance,use of hypnotic drugs,and daytime dysfunction) and PSQI scores of the treatment group after treatment were significantly decreased.This indicates that ultrasound-guided stellate ganglion block combined with acupoint catgut implantation therapy is an effective method that can significantly prolong sleep duration and improve sleep quality.

Characteristic column：Study on Wuling Mountain Area

Development of Xiangxi Vine Tea Extract Lozenges

NI Dexin, LIU Jiawang, YIN Guang, HUANG Hongjun, ZOU Jingyi, FENG Qiuju

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 82-89.

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Taking the vine tea from Xiangxi as the experimental raw material,we have optimized the extraction process of vine tea by single-factor experiments.The antibacterial activity and antioxidant activity of the vine tea extract were analyzed.The ratio of excipients in the prescription was further optimized to develop a vine tea extract lozenge.The quality of the product was tested to determine whether it met the relevant tablet quality standards.The results showed that the optimal extraction conditions were a solid-liquid ratio of 1∶40 (g∶mL),an ethanol volume fraction of 70%,a reflux time of 90 min,and a crystallization temperature of 10 ℃.The vine tea extract had a good inhibitory effect on Escherichia coli,with the maximum inhibition zone diameter being 15.1 mm.The vine tea extract had good scavenging abilities for hydroxyl radicals,superoxide anion radicals,and DPPH radicals,and also had a good reducing ability.Its radical scavenging level was much higher than that of citric acid and close to that of ascorbic acid.The preparation of lozenges employed a mixture of excipients consisting of 0.50 g dextrin,2.2 g starch,0.50 g sucrose,and 0.002 4 g magnesium stearate.The disintegration time of the finished product was 15 min,and the hardness,friability,appearance,and weight variation of the tablets all met the tablet quality standards of the Chinese Pharmacopoeia.

Survey on Bird Diversity in Hunan Gaowangjie National Nature Reserve

TAN Yechen, HUANG Jie, MAO Jing, WANG Jing, XIONG Shuhong, ZHANG Youxiang, WU Tao, HUANG Xinglong, ZHANG Ziliang, KE Mingjun

Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 90-100.

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To understand the avian species diversity and distribution in the Gaowangjie National Nature Reserve in Hunan,a systematic survey of bird diversity was conducted using line transect surveys and infrared camera trapping from 2022 to 2023.The results showed that a total of 145 bird species were recorded,belonging to 15 orders and 49 families.Passeriformes dominated with 89 species across 31 families,while non-Passeriformes accounted for 56 species across 18 families.Two species of nationally protected Class I wild birds were recorded:Scaly-sided Merganser (Mergus squamatus) and Elliot's Pheasant (Syrmaticus ellioti),along with 22 species of nationally protected Class Ⅱ wild birds.According to the China Red List of Vertebrates,16 species were listed as threatened (endangered,vulnerable,or near-threatened),with an additional 61 bird species designated as provincially protected in Hunan.In terms of zoogeographical regions,oriental species predominated (71 species),and resident birds were the primary residency type (90 species).The woodland habitat had the highest species diversity index (3.47),while aquatic habitats had the lowest (1.95).Significant differences in bird species diversity were observed among different habitats,but no significant differences were found between functional zones.Based on these findings,the following conservation recommendations are proposed to strengthen wildlife protection awareness campaigns and strictly prohibit illegal hunting and habitat destruction;Establish an ecological compensation mechanism to provide economic incentives for affected villagers to encourage conservation efforts.