数学最新文献

{"title":"Bifurcation scenarios and quasi-periodic dynamics in a dispersive-dissipative medium","authors":"Mostafa M.A. Khater","doi":"10.1016/j.cam.2026.117430","DOIUrl":"10.1016/j.cam.2026.117430","url":null,"abstract":"<div><div>This article presents a comprehensive analytical and dynamical investigation of a nonlinear long-wave model in which wave propagation is governed by the interplay of nonlinear steepening, regularizing dispersion, linear drift and a second-order term controlled by the parameter ϱ. The sign of ϱ determines the physical regime of the medium: (ϱ &gt; 0) corresponds to weak dissipation, <span><math><mrow><mo>(</mo><mi>ϱ</mi><mo>=</mo><mn>0</mn><mo>)</mo></mrow></math></span> recovers a nondissipative or conservative propagation environment, while (ϱ &lt; 0) models an anti-dissipative or energy-feeding regime in which small disturbances may grow. Such a structure captures a wide range of physical situations including unidirectional shallow-water waves, weakly viscous channels and long-wave transport in media where energy may be damped, conserved, or injected. Using the Khater II technique, we construct new explicit traveling-wave solutions such as solitary, periodic and kink-type profiles. The traveling-wave reduction is rewritten as a Hamiltonian system, enabling a detailed stability analysis and a qualitative description of the phase-space geometry. A full bifurcation classification is provided, distinguishing periodic, homoclinic and heteroclinic orbits across different parameter regimes. To investigate sensitivity to external fluctuations, a weak time-periodic perturbation is introduced, generating quasi-periodic and chaotic dynamics demonstrated through numerical simulations and Poincaré sections. The results reveal how dispersion, nonlinearity and the sign of ϱ jointly shape the onset of complex long-wave behavior and provide exact analytical benchmarks for validating numerical solvers in dissipative and non-dissipative dispersive systems.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117430"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147387121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Finite mixtures of matrix-variate shifted generalized asymmetric Laplace distribution for three-way data","authors":"Carlos A.R. Diniz ,&nbsp;Jhonata Da Silva Pereira ,&nbsp;Victor H. Lachos","doi":"10.1016/j.cam.2026.117463","DOIUrl":"10.1016/j.cam.2026.117463","url":null,"abstract":"<div><div>We introduce a finite mixture of matrix-variate shifted generalized asymmetric Laplace (MVSGAL) distributions for clustering matrix-valued data with skewness and heavy tails. The model offers a flexible alternative to the matrix-variate normal benchmark by accommodating directional skewness (via a skewness matrix) and component-specific tail behavior while capturing row/column dependence. For completeness, we briefly summarize the MVSGAL kernel (density and stochastic representation with a fixed Gamma mixing law) and the conditional moments needed for estimation. We develop an Expectation-Conditional Maximization (ECM) algorithm for maximum-likelihood inference that uses latent component indicators and gamma-scale variables. A simulation study assesses parameter recovery and the impact of distributional misspecification. For the empirical illustration, we analyze a 10-year monthly series of climate data (temperature, precipitation, and solar radiation) from four municipalities in São Paulo, Brazil. The fitted model successfully identifies three distinct climatic regimes, capturing the data’s skewness, heavy tails, and dependencies in a parsimonious matrix-variate framework.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117463"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147387129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"An improved Stress-Influence-Function (ISIF) based method for continuum structural topology optimization with stress constraints","authors":"Zhenxian Luo ,&nbsp;Haijun Xia ,&nbsp;Linyuan Li","doi":"10.1016/j.cam.2026.117429","DOIUrl":"10.1016/j.cam.2026.117429","url":null,"abstract":"<div><div>The topology optimization of continuum structures considering stress constraints is a classic hotspot. Recently, the Stress-Influence-Function with adaptive strength feature (SIF-ASF) approach was proposed for stress constrained continuum topology optimization. The stress influence function sets strong penalization on the local strength failure to achieve the stress constraints. However, this strong penalization may lead to oscillation or divergence due to a sharp barrier of the stress. In this study, an improved stress influence function, which has good boundedness and smoothness, is presented to alleviate nonlinearity in optimization and ensure numerical stability of optimization iterations. In addition, a new adaptive strategy for the strength feature factor is proposed to achieve good control on the maximum stress. By comparing with existing methods through two numerical examples, the advantages of the proposed method on numerical stability and weight reduction are verified. Finally, some useful conclusions are given objectively.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117429"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147387131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modelling spatiotemporal prey-predator interactions incorporating fear effect and variable handling time","authors":"Shri Harine P,&nbsp;Ankit Kumar","doi":"10.1016/j.nonrwa.2025.104582","DOIUrl":"10.1016/j.nonrwa.2025.104582","url":null,"abstract":"<div><div>Classical prey-predator models often assume that the predator’s handling time is constant. However, in real ecosystems, a predator’s handling time can vary due to several biotic and abiotic factors. Based on this, we modified the Holling Type II functional response by incorporating a nonlinear handling time function. Fear in prey can lead to notable population reductions, predominantly through decreased foraging and reproduction. Considering these essential factors, we developed a prey-predator model encompassing temporal dynamics, self-diffusion and cross-diffusion. For the temporal model, we investigated the non-negativity, boundedness, and stability conditions of the existing steady states. Furthermore, bifurcations such as Hopf, transcritical, and Bautin were observed with respect to parameters like the cost of fear and the maximal achievable handling time. Bistability behaviour was observed through the analysis involving these two parameters. Sensitivity analysis was conducted to understand the influence of parameters contributing to the coexistence of prey and predator populations. Stability conditions for both spatiotemporal models (with self and cross-diffusion) were established, highlighting the role of cross-diffusion coefficients in inducing Turing instability and pattern formation. Spatial patterns such as spots and vertically aligned chains were observed. An increase in the maximal achievable handling time was found to support prey occupation in high-density regions, promoting coexistence, whereas excessively high maximal handling time can lead to predator extinction.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104582"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145885263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The pointwise estimates for the incompressible Navier–Stokes–Maxwell system with Ohm’s law","authors":"Guanghui Wang ,&nbsp;Mingying Zhong","doi":"10.1016/j.nonrwa.2025.104572","DOIUrl":"10.1016/j.nonrwa.2025.104572","url":null,"abstract":"<div><div>The pointwise estimates of the Green’s function for the incompressible Navier–Stokes–Maxwell system with Ohm’s law in 3D are given in this paper. It is shown that the Green’s function consists of the heat kernels, the diffusive waves at low-frequency, the hyperbolic waves at high-frequency with time decaying exponentially, and the singular short waves. In addition, we establish the pointwise estimate of the global solution to the nonlinear incompressible Navier–Stokes–Maxwell system with Ohm’s law based on the Green’s function. To solve the new problem that the nonlinear terms contain the nonlocal operators <span><math><mrow><mi>∇</mi><mrow><mrow><mi>d</mi></mrow><mi>i</mi><mi>v</mi></mrow><mstyle><mi>Δ</mi></mstyle><msup><mrow></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></math></span> and <span><math><mrow><mi>∇</mi><mo>×</mo><mi>∇</mi><mo>×</mo><mstyle><mi>Δ</mi></mstyle><msup><mrow></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></math></span> which arise from the fluid-electromagnetic decomposition, we develop some new estimates of the nonlocal operators.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104572"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145841570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Existence and decay of solutions for Timoshenko-type equation with variable exponents and the supercritical damping","authors":"Rongrong Yan ,&nbsp;Bin Guo ,&nbsp;Xiangyu Zhu","doi":"10.1016/j.nonrwa.2026.104611","DOIUrl":"10.1016/j.nonrwa.2026.104611","url":null,"abstract":"<div><div>In this paper, we consider an initial boundary value problem for the following Timoshenko equation with variable exponents:<span><span><span><math><mrow><msub><mi>u</mi><mrow><mi>t</mi><mi>t</mi></mrow></msub><mo>+</mo><msup><mstyle><mi>Δ</mi></mstyle><mn>2</mn></msup><mspace></mspace><mi>u</mi><mo>−</mo><msup><mrow><mi>M</mi><mo>(</mo><mo>∥</mo><mi>∇</mi><mi>u</mi><mo>∥</mo></mrow><mn>2</mn></msup><mrow><mo>)</mo><mstyle><mi>Δ</mi></mstyle><mi>u</mi><mo>+</mo><mo>|</mo></mrow><msub><mi>u</mi><mi>t</mi></msub><msup><mrow><mo>|</mo></mrow><mrow><mi>m</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>−</mo><mn>2</mn></mrow></msup><msub><mi>u</mi><mi>t</mi></msub><mo>=</mo><msup><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow><mrow><mi>q</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>−</mo><mn>2</mn></mrow></msup><mi>u</mi><mo>.</mo></mrow></math></span></span></span></div><div>First of all, we combine the truncation method, energy estimate method and Banach fixed point theorem as well as Galerkin method to prove the existence of local solutions with the exponent <em>q</em>(<em>x</em>) satisfying <span><math><mrow><mfrac><mrow><mn>2</mn><mo>(</mo><mi>n</mi><mo>−</mo><mn>2</mn><mo>)</mo></mrow><mrow><mi>n</mi><mo>−</mo><mn>4</mn></mrow></mfrac><mo>&lt;</mo><mi>q</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>&lt;</mo><mfrac><mrow><mn>2</mn><mi>n</mi></mrow><mrow><mi>n</mi><mo>−</mo><mn>4</mn></mrow></mfrac><mo>.</mo></mrow></math></span> Subsequently, for the supercritical case(<span><math><mrow><mi>m</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>&gt;</mo><mfrac><mrow><mn>2</mn><mi>n</mi></mrow><mrow><mi>n</mi><mo>−</mo><mn>4</mn></mrow></mfrac></mrow></math></span>), owing to the failure of the embedding inequality, the well-known multiplier technique is unsuccessful in our problem. To end this, our strategy is to give a priori estimate for the weighted integral <span><math><mstyle><mrow><msub><mo>∫</mo><mstyle><mi>Ω</mi></mstyle></msub><msup><mrow><mo>(</mo><mn>2</mn><mo>+</mo><mi>t</mi><mo>)</mo></mrow><mrow><mn>1</mn><mo>−</mo><mi>m</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msup><msup><mrow><mo>|</mo><mi>u</mi><mo>|</mo></mrow><mrow><mi>m</mi><mo>(</mo><mi>x</mi><mo>)</mo></mrow></msup><mrow><mi>d</mi></mrow><mi>x</mi></mrow></mstyle></math></span>, and then to apply modified weighted multiplier method and potential well method to prove that the energy functional decays logarithmically under this condition. In particular, these results reveal the explicit relationship between decay rate of solutions and the weak damping term. These results improved and extended the existing results [1, 2].</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104611"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Halpern-type splitting algorithm for approximating a common solution of monotone inclusion problems and equilibrium problems in reflexive Banach spaces","authors":"Qingqing Fu ,&nbsp;Gang Cai ,&nbsp;Zhongbing Xie ,&nbsp;Qiao-Li Dong","doi":"10.1016/j.cam.2026.117505","DOIUrl":"10.1016/j.cam.2026.117505","url":null,"abstract":"<div><div>In this paper, we mainly introduce a Halpern-type splitting algorithm with inertial extrapolation for approximating a common solution of monotone inclusion problems and equilibrium problems in reflexive Banach spaces. Our algorithm has a novel step-size rule which is designed by the golden ratio <span><math><mrow><mo>(</mo><msqrt><mn>5</mn></msqrt><mo>+</mo><mn>1</mn><mo>)</mo><mo>/</mo><mn>2</mn></mrow></math></span>. The strong convergence results for the proposed algorithm are established under some reasonable assumptions imposed on the operators and the parameters. Furthermore, we give two interesting corollaries based on this algorithm. Finally, several numerical experiments are presented to demonstrate the efficiency and advantages of our proposed algorithm. The results obtained in this paper improve and generalize many recent ones in the literature.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117505"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Global optimization of a convex-concave fraction plus a convex function using hidden sawtooth-curve bounds via a two-layer dual approach","authors":"Longfei Wang ,&nbsp;Yong Xia ,&nbsp;Yunhai Xiao","doi":"10.1016/j.cam.2026.117491","DOIUrl":"10.1016/j.cam.2026.117491","url":null,"abstract":"<div><div>We address a class of optimization problems, denoted by (SFC), of minimizing the sum of a convex-concave fraction and a convex function over a convex set. It is shown that problem (SFC) can be reformulated into an equivalent one-dimensional optimization problem, where each subproblem is evaluated by solving an associated convex programming. The optimal Lagrangian multipliers of the convex subproblems are utilized to construct sawtooth-curve and wave-curve lower bounds, which play a crucial role in devising the branch-and-bound algorithm for globally solving (SFC). In this paper, we propose a two-layer dual approach to get hidden sawtooth-curve lower bounds, which leads to a new efficient branch-and-bound algorithm for solving (SFC). Moreover, we improve the iterative complexity <span><math><mrow><mi>O</mi><mo>(</mo><mfrac><mn>1</mn><mi>ϵ</mi></mfrac><mo>)</mo></mrow></math></span> with wave-curve bounds to <span><math><mrow><mi>O</mi><mo>(</mo><mfrac><mn>1</mn><msqrt><mi>ϵ</mi></msqrt></mfrac><mo>)</mo></mrow></math></span> for finding an ϵ-approximate optimal solution. Numerical results demonstrate that it is more efficient than the recent branch-and-bound algorithm based on wave-curve bounds.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117491"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A bargaining game approach for cost reallocation within an uncertain DEA model under chance constraints","authors":"Hanjie Liu ,&nbsp;Yuanguo Zhu ,&nbsp;Liu He ,&nbsp;Zihan Qin","doi":"10.1016/j.cam.2026.117497","DOIUrl":"10.1016/j.cam.2026.117497","url":null,"abstract":"<div><div>How to reallocate the cost reasonably among participants in the production process is a research topic that attracts much attention. In this paper, a new production possibility set is defined for the first time by using chance constraint under the premise that the inputs and outputs of decision-making units (DMUs) are regarded as uncertain variables. An uncertain data envelopment analysis (DEA) model is developed to evaluate the efficiency performance of DMUs, and the model is improved to enhance its ability to distinguish efficient DMUs. Given the competitive landscape among DMUs, a cost reallocation problem based on the efficiency of DMUs is studied. Initially, we construct an optimization model aimed at maximizing DMU’s efficiency, allowing each DMU to propose an initial efficiency evaluation proposal that maximizes its own interests, which is usually not satisfied by all DMUs. Consequently, we present an uncertain bargaining game model, through which the efficiency evaluation proposals of each DMU are continuously adjusted until a consensus is reached that satisfies all DMUs. Moreover, we also provide deterministic forms for all relevant models and verify their feasibility. Then, we design a bargaining game algorithm to determine the final efficiency evaluation proposal. We prove the convergence of this algorithm and demonstrate that the obtained efficiency evaluation proposal constitutes a Nash equilibrium solution. Finally, a classic numerical example is used to illustrate the effectiveness of the proposed method. Compared with the existing efficiency evaluation methods for dealing with data uncertainty and cost allocation methods, the proposed method shows significant superiority.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117497"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Exploration of M-polynomial and entropy measures of biswapped networks with connection number approaches","authors":"Nasreen Almohanna ,&nbsp;Ali Ahmad ,&nbsp;Khawlah Alhulwah ,&nbsp;Ali N.A. Koam ,&nbsp;Hamdan Alshehri","doi":"10.1016/j.cam.2026.117500","DOIUrl":"10.1016/j.cam.2026.117500","url":null,"abstract":"<div><div>Graph theory currently encompasses the study of several subjects, ranging from algebraic features of structures to the analysis of chemical graph structures without experimental procedures. Additionally, it involves the development of networks using topological Indices (TIs). Exploring different networks and utilising TIs is an expanding field of contemporary research. The use of optoelectronic technology in optical transposition interconnection systems (OTIS) offers an effective solution to the ongoing problem of storing and sending data with comprehensive information. This is due to the reduced power requirements and broad bandwidth capabilities of optoelectronic systems, which make them well-suited for this task. The integration of radio communication and electrical technology has transformed OTIS into a highly valued network, enhancing the efficiency of existing optoelectronic computers. OTIS is characterised by the biswapped network (BN) that is formed with the help of path graph <span><math><msub><mi>P</mi><mi>m</mi></msub></math></span> and denoted as <span><math><mrow><mi>B</mi><mo>(</mo><msub><mi>P</mi><mi>m</mi></msub><mo>)</mo></mrow></math></span>. This research work focused on the M-polynomial and entropy measures in relation to the number of connections between nodes of the graph <span><math><mrow><mi>B</mi><mo>(</mo><msub><mi>P</mi><mi>m</mi></msub><mo>)</mo></mrow></math></span> and its largest subgraph that preserves twin nodes (<span><math><mrow><mi>M</mi><mo>(</mo><mi>B</mi><mrow><mo>(</mo><msub><mi>P</mi><mi>m</mi></msub><mo>)</mo></mrow><mo>)</mo></mrow></math></span>).</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"484 ","pages":"Article 117500"},"PeriodicalIF":2.6,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}