摘要：
Abstract: In this paper, a random single population model disturbed by decaying noise is considered. Under certain conditions, according to the stability theory of stochastic difference equations, the existence and asymptotic stability of the 2-cycle solution of the model are discussed. Using MATLAB, numerical simulation is carried out to verify the correctness of the conclusions obtained in this paper.#@#@#摘要: 本文考虑了一种受衰减噪声扰动的随机单种群模型，在一定的条件下，根据随机差分方程稳定性相关理论，讨论了该模型2-周期解的存在性及渐进稳定性，利用MATLAB进行数值仿真，验证本文所得结论的正确性。
作者机构：
[Cheng, Jun-Hao; Li, Xiao-Hua] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Zhang, Zhen] Sun Yat Sen Univ, Sino French Inst Nucl Engn & Technol, Zhuhai 519082, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Chu, Peng-Cheng] Qingdao Technol Univ, Sch Sci, Qingdao 266000, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Eq, Hengyang 421001, Peoples R China.
关键词：
proton radioactivity;Skyrme;Hartree-Fock;macroscopic quantities of nuclear matter
摘要：
In this study, we systematically investigate the proton radioactivity half-lives of 33 spherical nuclei based on the relationship between Skyrme parameters and the macroscopic quantities of nuclear matter. Using the two-potential approach with the spherical Skyrme-Hartree-Fock model, the correlation between proton radioactivity half-life and the macroscopic quantities is analyzed. Moreover, we obtain a new Skyrme parameter set by fitting the two most weighted macroscopic quantities. Compared with the Skyrme parameters MSL0 and the theoretical model of proton radioactivity UDLP, the theoretical proton radioactivity half-life calculated using the new Skyrme parameter set can better reproduce the experimental data.
期刊：
Expert Systems with Applications,2022年199:116859 ISSN：0957-4174
通讯作者：
Changjin Xu
作者机构：
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550025, Peoples R China.;[Xu, Changjin] Guizhou Key Lab Big Data Stat Anal, Guiyang 550025, Peoples R China.;[Liu, Zixin] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Peoples R China.;[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Yao, Lingyun] Guizhou Univ Finance & Econ, Guiyang 550025, Peoples R China.
通讯机构：
[Changjin Xu] G;Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550025, PR China<&wdkj&>Guizhou Key Laboratory of Big Data Statistical Analysis, Guiyang 550025, PR China
关键词：
Fractional-order bank data model;Global stability;Hopf bifurcation;Hopf bifurcation control;PDξ controller;Stability
期刊：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2022年27(6):3515-3532 ISSN：1531-3492
通讯作者：
Chunhua Ou
作者机构：
[Ou, Chunhua] Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, A1C 5S7, Canada;[Pan, Chaohong; Wang, Hongyong] School of Mathematics and Physics, University of South China, Hengyang 421001, China
通讯机构：
[Chunhua Ou] D;Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, A1C 5S7, Canada
关键词：
invasion speed;linear and nonlinear selection;Lotka-Volterra system;traveling waves.
作者机构：
[Zhou, Wu-Xing; Wu, Chen-Wei; Gan, Yan] Hunan Univ Sci & Technol, Sch Mat Sci & Engn, Xiangtan 411201, Peoples R China.;[Zhou, Wu-Xing; Wu, Chen-Wei; Gan, Yan] Hunan Univ Sci & Technol, Hunan Prov Key Lab Adv Mat New Energy Storage & C, Xiangtan 411201, Peoples R China.;[Xie, Zhong-Xiang; Deng, Yuan-Xiang; Zhang, Yong] Hunan Inst Technol, Dept Math & Phys, Hengyang 421002, Peoples R China.;[Chen, Xue-Kun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Zhong-Xiang Xie] D;[Wu-Xing Zhou; Xue-Kun Chen] S;School of Mathematics and Physics, University of South China, Hengyang 421001, People’s Republic of China<&wdkj&>Department of Mathematics and Physics, Hunan Institute of Technology, Hengyang 421002, China<&wdkj&>School of Materials Science and Engineering & Hunan Provincial Key Laboratory of Advanced Materials for New Energy Storage and Conversion, Hunan University of Science and Technology, Xiangtan 411201, China
摘要：
Recently, a ternary-layered material BiOCl has elicited intense interest in photocatalysis, environmental remediation, and ultraviolet light detection because of its unique band gap of around 3.6 eV, low toxicity, and earth abundance. In particular, Gibson et al. reported a measurement of the in-plane thermal conductivity of BiOCl experimentally using a four-point-probe method [Science, 373, 1017-1022 (2021)], which is only 1.25 W/m K at 300 K. Motivated by the work, we studied the thermoelectric property of monolayer BiOCl using first-principles calculations combined with the Boltzmann transport equation. The calculated phonon thermal conductivity of monolayer BiOCl is 3 W/m K at 300 K, which is far below that of other promising 2D thermoelectric materials like graphyne and MoS(2). A comprehensive analysis of phonon modes is conducted to reveal the low thermal conductivity. Moreover, the maximal ZT value is as high as 1.8 at 300 K and 5.7 at 800 K for the p-type doping with the 2 × 10(15) cm(-2) concentration. More importantly, we found that the thermoelectric efficiency of such 2D materials is significantly enhanced to 8 at 800 K by applying 1.5% tensile strain, which clearly outperforms that of the reported 2D thermoelectric material SnSe. The results shed light on the promising application in medium-temperature (600-900 K) thermoelectric devices.
作者机构：
[Li, Xiao-Hua; Pan, Xiao; Zou, You-Tian] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[He, Biao] Cent South Univ, Coll Phys & Elect, Changsha 410083, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Eq, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Hunan Normal Univ, Key Lab Low Dimens Quantum Struct & Quantum Contr, Changsha 410081, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Xiao-Hua Li; Xi-Jun Wu; Zhen Zhang] S;Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-sen University, Zhuhai 519082, People’s Republic of China<&wdkj&>School of Nuclear Science and Technology, University of South China, Hengyang 421001, People’s Republic of China<&wdkj&>Cooperative Innovation Center for Nuclear Fuel Cycle Technology & Equipment, University of South China, Hengyang 421001, People’s Republic of China<&wdkj&>Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Hunan Normal University, Changsha 410081, People’s Republic of China<&wdkj&>School of Math and Physics, University of South China, Hengyang 421001, People’s Republic of China
关键词：
Two-potential approach;two-proton radioactivity;Skyrme energy density functional theory;Skz4 Skyrme interaction
作者机构：
[Xu, Feng] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.;[Rao, Qiuhua] Cent South Univ, Sch Civil Engn, Changsha, Peoples R China.
通讯机构：
[Qiuhua Rao] S;School of Civil Engineering, Central South University, Changsha, China
摘要：
Trafficability criterion of a tracked miner is investigated when walking across deep-sea floor with obstacles by analyzing the mechanical property of deep-sea sediment and geometrical conditions of obstacles. Trafficability criterion can help predict and estimate the mining efficiency and working safety of the tracked miner on the deep-sea sediment. Deep-sea sediment has an obvious rheological property and its compression-sinkage-time relationship was adopted to describe the sinkage shape of track under different grounding pressure distributions. The area of the sinkage shape was classified and redefined according to the relationships with different traction forces based on work-energy theorem concept. A new trafficability criterion is then established based on the areas of sinkage shapes and the physical meaning of parameters in the criterion was explained diagrammatically in detail. As an application, a trafficable deep-sea ditch width and slope angle were calculated theoretically by combining the trafficability criterion and sinkage shapes analyses. The trafficability criterion is proved to be convenient and intuitive for quickly judging the trafficability problem of deep-sea tracked miner for common obstacles.
作者机构：
[Zhu, De-Xing; Li, Xiao-Hua; Xu, Yang-Yang] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Liu, Hong-Ming] Fudan Univ, Inst Modern Phys, Shanghai 200433, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[He, Biao] Cent South Univ, Coll Phys & Elect, Changsha 410083, Peoples R China.;[Li, Xiao-Hua] Univ South China, Natl Exemplary Base Int Sci & Tech Collaborat Nuc, Hengyang 421001, Peoples R China.
通讯机构：
[Xiao-Hua Li] S;School of Nuclear Science and Technology, University of South China, Hengyang, China<&wdkj&>National Exemplary Base for International Sci & Tech. Collaboration of Nuclear Energy and Nuclear Safety, University of South China, Hengyang, China<&wdkj&>Cooperative Innovation Center for Nuclear Fuel Cycle Technology & Equipment, University of South China, Hengyang, China<&wdkj&>Key Laboratory of Low Dimensional Quantum Structures and Quantum Control, Hunan Normal University, Changsha, China
关键词：
2p radioactivity;Gamow-like model;Half-life;Excited state
摘要：
In this study, we systematically investigated the two-proton (
$$\text {2p}$$
) radioactivity half-lives from the excited state of nuclei near the proton drip line within the Gamow-like model (GLM) and modified Gamow-like model (MGLM). The calculated results were highly consistent with the theoretical values obtained using the unified fission model [Chin. Phys. C
$${\textbf {45}}$$
, 124105 (2021)], effective liquid drop model, and generalized liquid drop model [Acta Phys. Sin
$${\textbf {71}}$$
, 062301 (2022)]. Furthermore, utilizing the GLM and MGLM, we predicted the
$$\text {2p}$$
radioactivity half-lives from the excited state for some nuclei that are not yet available experimentally. Simultaneously, by analyzing the calculated results from these theoretical models, it was found that the half-lives are strongly dependent on
$$Q_\text {2p}$$
and
$$\ell $$
.
作者机构：
[He, Xing; He, Guansheng; Pan, Chaohong] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Chaohong Pan] A;Author to whom correspondence should be addressed.
关键词：
local stability;spectrum method;weighted functional space;host-tissue degradation
摘要：
The focus of this paper is on the local stability of the traveling waves of reaction–diffusion systems that describe host-tissue degradation by bacteria. On the one hand, we discuss the asymptotic behavior of the solutions near the equilibrium points. On the other hand, the local stability of traveling waves is proved by the spectrum method based on the appropriate weighted functional space.
期刊：
Journal of Radioanalytical and Nuclear Chemistry,2022年331(11):4503-4511 ISSN：0236-5731
通讯作者：
Yong Liu<&wdkj&>Yifan Chen
作者机构：
[Lin, Dongying; Chen, Yifan; Dai, Xingwang; Chen, Zhangkai] Univ South China, Sch Resources Environm & Safety Engn, Hengyang 421001, Hunan, Peoples R China.;[Fang, Shijie] Univ South China, Sch Elect Engn, Hengyang 421001, Hunan, Peoples R China.;[Wu, Xianwei] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Liu, Yong] Shenzhen Univ, Coll Phys & Optoelect Engn, Shenzhen 518000, Guangdong, Peoples R China.
通讯机构：
[Yong Liu] C;[Yifan Chen] S;College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen, China<&wdkj&>School of Resources Environmental and Safety Engineering, University of South China, Hengyang, China
摘要：
To study the law of uranium tailings impoundment cover fissures and radon exhalation under the continuous heat and insolation conditions, the soil and uranium tailings samples from South China are made into the uranium tailings impoundment scale mode. The model was placed in a climate chamber for continuous heat and insolation environments. The fissures rate, radon exhalation rate and electrical conductivity of the model soil layer were calculated and analyzed. The results show that: (1) the radon exhalation rate and fissure ratio have the same variation pattern (2) the electrical conductivity characterization correlates with fracture rate and precedes fracture rate, which may predict the fissure growth. (3) When the experimental time exceeded 21 h, the electrical conductivity and the radon exhalation rate change showed a strong inverse correlation.
作者机构：
[Zhu, De-Xing; Li, Xiao-Hua; Xu, Yang-Yang; Liu, Hong-Ming; Zou, You-Tian] Univ South China, Sch Nucl Sci & Technol, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Natl Exemplary Base Int Sci & Tech Collaborat Nuc, Hengyang 421001, Peoples R China.;[Li, Xiao-Hua] Univ South China, Cooperat Innovat Ctr Nucl Fuel Cycle Technol & Eq, Hengyang 421001, Peoples R China.;[Wu, Xi-Jun] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Chu, Peng-Cheng] Qingdao Technol Univ, Sch Sci, Inst Theoret Phys, Qingdao 266000, Peoples R China.
关键词：
two-proton radioactivity;Coulomb and proximity potential model;half-life
摘要：
Considering the preformation probability of the two emitted protons in the parent nucleus, we extend the Coulomb and proximity potential model (CPPM) to systematically study two-proton (2p) radioactivity half-lives of the nuclei close to proton drip line. The proximity potential chosen is Prox. 81 proposed by Blocki et al. in 1981. Furthermore, we apply this model to predict the half-lives of possible 2p radioactive candidates whose 2p radioactivity is energetically allowed or observed but not yet quantified in the evaluated nuclear properties table NUBASE2016. The predicted results are in good agreement with those from other theoretical models and empirical formulas, namely the effective liquid drop model (ELDM), generalized liquid drop model (GLDM), Gamow-like model, Sreeja formula and Liu formula.
期刊：
IEEE Transactions on Information Theory,2022年68(4):2735-2751 ISSN：0018-9448
通讯作者：
Mesnager, S
作者机构：
[Li, Yanjun] Anhui Univ Finance & Econ, Inst Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China.;[Peng, Jie; Li, Yanjun] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.;[Kan, Haibin] Fudan Univ, Sch Comp Sci, Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China.;[Mesnager, S; Mesnager, Sihem] Univ Paris VIII, Dept Math, F-93526 St Denis, France.;[Mesnager, Sihem] Univ Sorbonne Paris Nord, LAGA, Lab Geometry Anal & Applicat, CNRS,UMR 7539, F-93430 Villetaneuse, France.
通讯机构：
[Mesnager, S ] U;Univ Paris VIII, Dept Math, F-93526 St Denis, France.
关键词：
Codes;Ciphers;Boolean functions;Roads;Telecommunications;Technological innovation;Robustness;Boolean function;vectorial function;Boolean bent function;idempotent bent function;dual;self-dual bent function;vectorial bent function
