Recently, violence has been a very common and serious public health problem in the world. In this new mathematical modeling tactic study, we formulated and examined the firsthand violence mathematical model with five distinct classes of the human population (susceptible, violence-exposed, violence, negotiated, and reconciled). The model takes into account the diffusion of violence and infection. The violence-free and violence-dominance model equilibrium points are calculated, and their local and global stabilities are analyzed. The model threshold values are obtained. As a result of the model analysis, the violence diffusion is under control if the basic reproduction number is less than unity, and it diffuses through the community if this number exceeds unity. Besides, the sensitivity analysis of the parameter values of the basic reproduction number is demonstrated. We have applied the MATLAB ode45 solver to illustrate the numerical results of the model. Finally, from analytical and numerical solutions, we obtain jointly equivalent and consistent results.
{"title":"Mathematical Model Analysis on the Diffusion of Violence","authors":"Birhanu Baye Terefe","doi":"10.1155/2022/4776222","DOIUrl":"https://doi.org/10.1155/2022/4776222","url":null,"abstract":"Recently, violence has been a very common and serious public health problem in the world. In this new mathematical modeling tactic study, we formulated and examined the firsthand violence mathematical model with five distinct classes of the human population (susceptible, violence-exposed, violence, negotiated, and reconciled). The model takes into account the diffusion of violence and infection. The violence-free and violence-dominance model equilibrium points are calculated, and their local and global stabilities are analyzed. The model threshold values are obtained. As a result of the model analysis, the violence diffusion is under control if the basic reproduction number is less than unity, and it diffuses through the community if this number exceeds unity. Besides, the sensitivity analysis of the parameter values of the basic reproduction number is demonstrated. We have applied the MATLAB ode45 solver to illustrate the numerical results of the model. Finally, from analytical and numerical solutions, we obtain jointly equivalent and consistent results.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"187 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129276943","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this study, we propose a four-parameter probability distribution called the harmonic mixture Fréchet. Some useful expansions and statistical properties such as moments, incomplete moments, quantile functions, entropy, mean deviation, median deviation, mean residual life, moment-generating function, and stress-strength reliability are presented. Estimators for the parameters of the harmonic mixture Fréchet distribution are derived using the estimation techniques such as the maximum-likelihood estimation, the ordinary least-squares estimation, the weighted least-squares estimation, the Cramér–von Mises estimation, and the Anderson–Darling estimation. A simulation study was conducted to assess the biases and mean square errors of the estimators. The new distribution was applied to three-lifetime datasets and compared with the classical Fréchet distribution and eight (8) other extensions of the Fréchet distribution.
在这项研究中，我们提出了一个四参数的概率分布，称为谐波混合。给出了矩、不完全矩、分位数函数、熵、平均偏差、中位数偏差、平均剩余寿命、矩生成函数和应力-强度可靠度等有用的展开式和统计性质。利用极大似然估计、普通最小二乘估计、加权最小二乘估计、cram - von Mises估计和Anderson-Darling估计等估计技术，推导了谐波混合fracimet分布参数的估计量。进行了模拟研究，以评估估计器的偏差和均方误差。将新分布应用于三寿命数据集，并与经典的frsamchet分布和其他八个扩展的frsamchet分布进行比较。
{"title":"Harmonic Mixture Fréchet Distribution: Properties and Applications to Lifetime Data","authors":"S. Ocloo, L. Brew, Suleman Nasiru, B. Odoi","doi":"10.1155/2022/6460362","DOIUrl":"https://doi.org/10.1155/2022/6460362","url":null,"abstract":"In this study, we propose a four-parameter probability distribution called the harmonic mixture Fréchet. Some useful expansions and statistical properties such as moments, incomplete moments, quantile functions, entropy, mean deviation, median deviation, mean residual life, moment-generating function, and stress-strength reliability are presented. Estimators for the parameters of the harmonic mixture Fréchet distribution are derived using the estimation techniques such as the maximum-likelihood estimation, the ordinary least-squares estimation, the weighted least-squares estimation, the Cramér–von Mises estimation, and the Anderson–Darling estimation. A simulation study was conducted to assess the biases and mean square errors of the estimators. The new distribution was applied to three-lifetime datasets and compared with the classical Fréchet distribution and eight (8) other extensions of the Fréchet distribution.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114435852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Beza Lamesgin Derseh, Berhanu Assaye Alaba, Y. G. Wondifraw
In this article, we apply the concept of a -intuitionistic fuzzy set to PMS-ideals in PMS-algebras. The notion of the -intuitionistic fuzzy PMS-ideal of PMS-algebra is introduced, and several related properties are studied. The relationships between a -intuitionistic fuzzy PMS-ideal and a -intuitionistic fuzzy PMS-subalgebra of a PMS-algebra, as well as the relationships between an intuitionistic fuzzy PMS-ideal and a -intuitionistic fuzzy PMS-ideal are discussed in detail. A condition for an intuitionistic fuzzy set to be a -intuitionistic fuzzy PMS-ideal is provided. The -intuitionistic fuzzy PMS-ideals of PMS-algebra are described using their level cuts. The homomorphism of a -intuitionistic fuzzy PMS-ideal of a PMS-algebra is studied, and its homomorphic image and inverse image are explored. The Cartesian product of any two
{"title":"t-Intuitionistic Fuzzy Structures on PMS-Ideals of a PMS-Algebra","authors":"Beza Lamesgin Derseh, Berhanu Assaye Alaba, Y. G. Wondifraw","doi":"10.1155/2022/5101293","DOIUrl":"https://doi.org/10.1155/2022/5101293","url":null,"abstract":"<jats:p>In this article, we apply the concept of a <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\u0000 <mi>t</mi>\u0000 </math>\u0000 </jats:inline-formula>-intuitionistic fuzzy set to PMS-ideals in PMS-algebras. The notion of the <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\u0000 <mi>t</mi>\u0000 </math>\u0000 </jats:inline-formula>-intuitionistic fuzzy PMS-ideal of PMS-algebra is introduced, and several related properties are studied. The relationships between a <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\u0000 <mi>t</mi>\u0000 </math>\u0000 </jats:inline-formula>-intuitionistic fuzzy PMS-ideal and a <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\u0000 <mi>t</mi>\u0000 </math>\u0000 </jats:inline-formula>-intuitionistic fuzzy PMS-subalgebra of a PMS-algebra, as well as the relationships between an intuitionistic fuzzy PMS-ideal and a <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\">\u0000 <mi>t</mi>\u0000 </math>\u0000 </jats:inline-formula>-intuitionistic fuzzy PMS-ideal are discussed in detail. A condition for an intuitionistic fuzzy set to be a <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\">\u0000 <mi>t</mi>\u0000 </math>\u0000 </jats:inline-formula>-intuitionistic fuzzy PMS-ideal is provided. The <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M7\">\u0000 <mi>t</mi>\u0000 </math>\u0000 </jats:inline-formula>-intuitionistic fuzzy PMS-ideals of PMS-algebra are described using their <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M8\">\u0000 <mfenced open=\"(\" close=\")\" separators=\"|\">\u0000 <mrow>\u0000 <mi>α</mi>\u0000 <mo>,</mo>\u0000 <mi>β</mi>\u0000 </mrow>\u0000 </mfenced>\u0000 </math>\u0000 </jats:inline-formula> level cuts. The homomorphism of a <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M9\">\u0000 <mi>t</mi>\u0000 </math>\u0000 </jats:inline-formula>-intuitionistic fuzzy PMS-ideal of a PMS-algebra is studied, and its homomorphic image and inverse image are explored. The Cartesian product of any two <jats:inline-formula>\u0000 <ma","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127051754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this study, fuzzy ideals in pseudo-hoop algebras are presented. Also, we investigate fuzzy congruences relations on pseudo-hoop algebras induced by fuzzy ideals. By using fuzzy ideals, we create the fuzzy quotient pseudo-hoop algebras and identify and demonstrate the one-to-one relationship between the set of all normal fuzzy ideals of a pseudo-hoop algebra H with conditions p D N and the set of all fuzzy congruences relation on H . Additionally, we investigate the relationship between fuzzy ideals and fuzzy filters in pseudo-hoop algebras by considering the set of complement elements of pseudo-hoop algebras. Lastly, we study fuzzy prime ideals and fuzzy ⊙ -prime ideals and their relation.
{"title":"Fuzzy Ideals in Pseudo-Hoop Algebras","authors":"Teferi Getachew Alemayehu","doi":"10.1155/2022/4643252","DOIUrl":"https://doi.org/10.1155/2022/4643252","url":null,"abstract":"In this study, fuzzy ideals in pseudo-hoop algebras are presented. Also, we investigate fuzzy congruences relations on pseudo-hoop algebras induced by fuzzy ideals. By using fuzzy ideals, we create the fuzzy quotient pseudo-hoop algebras and identify and demonstrate the one-to-one relationship between the set of all normal fuzzy ideals of a pseudo-hoop algebra \u0000 \u0000 H\u0000 \u0000 with conditions \u0000 \u0000 \u0000 \u0000 p\u0000 \u0000 D\u0000 N\u0000 \u0000 \u0000 \u0000 and the set of all fuzzy congruences relation on \u0000 \u0000 H\u0000 \u0000 . Additionally, we investigate the relationship between fuzzy ideals and fuzzy filters in pseudo-hoop algebras by considering the set of complement elements of pseudo-hoop algebras. Lastly, we study fuzzy prime ideals and fuzzy \u0000 \u0000 ⊙\u0000 \u0000 -prime ideals and their relation.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121607052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Alipanah, K. Arzideh, Medina Firouzi, A. Kasnazani
In this paper, we focus on a collocation approach based on Daubechies wavelet scaling functions for approximating the solution of Volterra’s model of population growth of a species with a closed system. We present that the integral and derivative terms, which appear in Volterra’s model of the population, will be computed exactly in dyadic points. Utilizing this collocation technique, Volterra’s population model reduces into a system of nonlinear algebraic equations. In addition, an error bound for our method will be explored. The numerical results demonstrate the applicability and accuracy of our method.
{"title":"Daubechies Wavelet Scaling Function Approach to Solve Volterra's Population Model","authors":"A. Alipanah, K. Arzideh, Medina Firouzi, A. Kasnazani","doi":"10.1155/2022/5363646","DOIUrl":"https://doi.org/10.1155/2022/5363646","url":null,"abstract":"In this paper, we focus on a collocation approach based on Daubechies wavelet scaling functions for approximating the solution of Volterra’s model of population growth of a species with a closed system. We present that the integral and derivative terms, which appear in Volterra’s model of the population, will be computed exactly in dyadic points. Utilizing this collocation technique, Volterra’s population model reduces into a system of nonlinear algebraic equations. In addition, an error bound for our method will be explored. The numerical results demonstrate the applicability and accuracy of our method.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129508124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pierre Carole Kengne, B. B. K. Njionou, D. C. Awouafack, L. Fotso
This paper mainly focuses on building the -fuzzy filter theory of residuated multilattices. Firstly, we introduce the concepts of -fuzzy filter and -fuzzy deductive system of residuated multilattices. Then, we highlight their properties and show how they are linked. Secondly, we introduce the concept of prime -fuzzy filter and propose some illustrative examples. Then, we bring out their properties and show how they are related to the concept of -fuzzy prime filter. Thirdly, we characterize -fuzzy maximal filter and maximal -fuzzy filter by atoms and coatoms. In the case where is a distributive lattice, we prove that maximal -fuzzy filters are prime. Finally, we are interested in -fuzzy cosets of an
{"title":"ℒ -Fuzzy Cosets of ℒ -Fuzzy Filters of Residuated Multilattices","authors":"Pierre Carole Kengne, B. B. K. Njionou, D. C. Awouafack, L. Fotso","doi":"10.1155/2022/6833943","DOIUrl":"https://doi.org/10.1155/2022/6833943","url":null,"abstract":"<jats:p>This paper mainly focuses on building the <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\u0000 <mi mathvariant=\"normal\">ℒ</mi>\u0000 </math>\u0000 </jats:inline-formula>-fuzzy filter theory of residuated multilattices. Firstly, we introduce the concepts of <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\u0000 <mi mathvariant=\"normal\">ℒ</mi>\u0000 </math>\u0000 </jats:inline-formula>-fuzzy filter and <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\">\u0000 <mi mathvariant=\"normal\">ℒ</mi>\u0000 </math>\u0000 </jats:inline-formula>-fuzzy deductive system of residuated multilattices. Then, we highlight their properties and show how they are linked. Secondly, we introduce the concept of prime <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\">\u0000 <mi mathvariant=\"normal\">ℒ</mi>\u0000 </math>\u0000 </jats:inline-formula>-fuzzy filter and propose some illustrative examples. Then, we bring out their properties and show how they are related to the concept of <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M7\">\u0000 <mi mathvariant=\"normal\">ℒ</mi>\u0000 </math>\u0000 </jats:inline-formula>-fuzzy prime filter. Thirdly, we characterize <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M8\">\u0000 <mi mathvariant=\"normal\">ℒ</mi>\u0000 </math>\u0000 </jats:inline-formula>-fuzzy maximal filter and maximal <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M9\">\u0000 <mi mathvariant=\"normal\">ℒ</mi>\u0000 </math>\u0000 </jats:inline-formula>-fuzzy filter by atoms and coatoms. In the case where <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M10\">\u0000 <mi mathvariant=\"normal\">ℒ</mi>\u0000 </math>\u0000 </jats:inline-formula> is a distributive lattice, we prove that maximal <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M11\">\u0000 <mi mathvariant=\"normal\">ℒ</mi>\u0000 </math>\u0000 </jats:inline-formula>-fuzzy filters are prime. Finally, we are interested in <jats:inline-formula>\u0000 <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M12\">\u0000 <mi mathvariant=\"normal\">ℒ</mi>\u0000 </math>\u0000 </jats:inline-formula>-fuzzy cosets of an <jats:inline-formula","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128045455","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. Using the fixed point theorem, we first show a global existence result for the problem with spatial variable. Other results of existence concerning the spatial homogeneous problem and the stationary system are discussed. At last, numerical simulations are performed by using finite difference method to validate the results.
{"title":"On a Predator-Prey Model Involving Age and Spatial Structure","authors":"Okana S. Sougué, O. Traore","doi":"10.1155/2022/5656953","DOIUrl":"https://doi.org/10.1155/2022/5656953","url":null,"abstract":"In this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. Using the fixed point theorem, we first show a global existence result for the problem with spatial variable. Other results of existence concerning the spatial homogeneous problem and the stationary system are discussed. At last, numerical simulations are performed by using finite difference method to validate the results.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124289377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Linear and quadratic discriminant analysis are two fundamental classification methods used in statistical learning. Moments (MM), maximum likelihood (ML), minimum volume ellipsoids (MVE), and t-distribution methods are used to estimate the parameter of independent variables on the multivariate normal distribution in order to classify binary dependent variables. The MM and ML methods are popular and effective methods that approximate the distribution parameter and use observed data. However, the MVE and t-distribution methods focus on the resampling algorithm, a reliable tool for high resistance. This paper starts by explaining the concepts of linear and quadratic discriminant analysis and then presents the four other methods used to create the decision boundary. Our simulation study generated the independent variables by setting the coefficient correlation via multivariate normal distribution or multicollinearity, often through basic logistic regression used to construct the binary dependent variable. For application to Pima Indian diabetic dataset, we expressed the classification of diabetes as the dependent variable and used a dataset of eight independent variables. This paper aimed to determine the highest average percentage of accuracy. Our results showed that the MM and ML methods successfully used large independent variables for linear discriminant analysis (LDA). However, the t-distribution method of quadratic discriminant analysis (QDA) performed better when using small independent variables.
{"title":"Comparing the Linear and Quadratic Discriminant Analysis of Diabetes Disease Classification Based on Data Multicollinearity","authors":"Autcha Araveeporn","doi":"10.1155/2022/7829795","DOIUrl":"https://doi.org/10.1155/2022/7829795","url":null,"abstract":"Linear and quadratic discriminant analysis are two fundamental classification methods used in statistical learning. Moments (MM), maximum likelihood (ML), minimum volume ellipsoids (MVE), and t-distribution methods are used to estimate the parameter of independent variables on the multivariate normal distribution in order to classify binary dependent variables. The MM and ML methods are popular and effective methods that approximate the distribution parameter and use observed data. However, the MVE and t-distribution methods focus on the resampling algorithm, a reliable tool for high resistance. This paper starts by explaining the concepts of linear and quadratic discriminant analysis and then presents the four other methods used to create the decision boundary. Our simulation study generated the independent variables by setting the coefficient correlation via multivariate normal distribution or multicollinearity, often through basic logistic regression used to construct the binary dependent variable. For application to Pima Indian diabetic dataset, we expressed the classification of diabetes as the dependent variable and used a dataset of eight independent variables. This paper aimed to determine the highest average percentage of accuracy. Our results showed that the MM and ML methods successfully used large independent variables for linear discriminant analysis (LDA). However, the t-distribution method of quadratic discriminant analysis (QDA) performed better when using small independent variables.","PeriodicalId":301406,"journal":{"name":"Int. J. Math. Math. Sci.","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128226777","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：