发布求助
文献互助 智能选刊 最新文献

Mathematical Modelling and Numerical Simulation with Applications最新文献

筛选
英文 中文
The investigation of several soliton solutions to the complex Ginzburg-Landau model with Kerr law nonlinearity 具有克尔律非线性的复杂金兹堡-朗道模型的几个孤子解的研究
Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2022-09-16 DOI: 10.53391/mmnsa.2022.012
Muhammad Abubakar Isah, A. Yokuş
{"title":"The investigation of several soliton solutions to the complex Ginzburg-Landau model with Kerr law nonlinearity","authors":"Muhammad Abubakar Isah, A. Yokuş","doi":"10.53391/mmnsa.2022.012","DOIUrl":"https://doi.org/10.53391/mmnsa.2022.012","url":null,"abstract":"This work investigates the complex Ginzburg-Landau equation (CGLE) with Kerr law in nonlinear optics, which represents soliton propagation in the presence of a detuning factor. The φ^6-model expansion approach is used to find optical solitons such as dark, bright, singular, and periodic as well as the combined soliton solutions to the model. The results presented in this study are intended to improve the CGLE's nonlinear dynamical characteristics, it might also assist in comprehending some of the physical implications of various nonlinear physics models. The hyperbolic sine, for example, appears in the calculation of the Roche limit and gravitational potential of a cylinder, while the hyperbolic cotangent appears in the Langevin function for magnetic polarization. The current research is frequently used to report a variety of fascinating physical phenomena, such as the Kerr law of non-linearity, which results from the fact that an external electric field causes non-harmonic motion of electrons bound in molecules, which causes nonlinear responses in a light wave in an optical fiber. The obtained solutions' 2-dimensional, 3-dimensional, and contour plots are shown.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"115 24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126379639","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}
引用次数: 12
A study on the solutions of (1+1)-dimensional Mikhailov-Novikov-Wang equation (1+1)维Mikhailov-Novikov-Wang方程解的研究
Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2022-09-04 DOI: 10.53391/mmnsa.2022.021
S. Demiray, U. Bayrakci
{"title":"A study on the solutions of (1+1)-dimensional Mikhailov-Novikov-Wang equation","authors":"S. Demiray, U. Bayrakci","doi":"10.53391/mmnsa.2022.021","DOIUrl":"https://doi.org/10.53391/mmnsa.2022.021","url":null,"abstract":"The basic principle of this study is to obtain various solutions to the (1+1) dimensional Mikhailov-Novikov-Wang integrable equation (MNWIE). For this purpose, the generalized exponential rational function method (GERFM) is applied to this equation. Thus, several trigonometric functions, hyperbolic functions, and dark soliton solutions to the studied equation are acquired. In this way, some new solutions to the equation that have not been presented before have been obtained. In addition, 2D and 3D graphics of the acquired solutions are drawn for specific values. The obtained results and the graphic drawings of the results have been provided by using Wolfram Mathematica 12.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129329905","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}
引用次数: 4
An efficient application of scrambled response approach to estimate the population mean of the sensitive variables 利用加扰响应方法估计敏感变量的总体均值
Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2022-08-10 DOI: 10.53391/mmnsa.2022.011
Atiqa Zahid, S. Masood, Sumaira Mubarik, Anwarud Din
{"title":"An efficient application of scrambled response approach to estimate the population mean of the sensitive variables","authors":"Atiqa Zahid, S. Masood, Sumaira Mubarik, Anwarud Din","doi":"10.53391/mmnsa.2022.011","DOIUrl":"https://doi.org/10.53391/mmnsa.2022.011","url":null,"abstract":"In the presence of one auxiliary variable and two auxiliary variables, we analyze various exponential estimators. The ranks of the auxiliary variables are also connected with the study variables, and there is a linkage between the study variables and the auxiliary variables. These ranks can be used to improve an estimator's accuracy. The Optional Randomized Response Technique (ORRT) and the Quantitative Randomized Response Technique are two techniques we utilize to estimate the sensitive variables from the population mean (QRRT). We used the scrambled response technique and checked the proposed estimators up to the first-order of approximation. The mean square error (MSE) equations are obtained for all the proposed ratio exponential estimators and show that our proposed exponential type estimator is more efficient than ratio estimators. The expression of mean square error is obtained up to the first degree of approximation. The empirical and theoretical comparison of the proposed estimators with existing estimators is also be carried out. We have shown that the proposed optional randomized response technique and quantitative randomized response model are always better than existing estimators. The simulation study is also carried out to determine the performance of the estimators. Few real-life data sets are also be applied in support of proposed estimators. It is observed that our suggested estimator is more efficient as compared to an existing estimator.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"423 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122798023","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}
引用次数: 3
A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections COVID-19、细菌性肺炎合并社区和医院获得性感染模型
Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2022-07-27 DOI: 10.53391/mmnsa.2022.016
Angel G. C. P'erez, D. A. Oluyori
{"title":"A model for COVID-19 and bacterial pneumonia coinfection with community- and hospital-acquired infections","authors":"Angel G. C. P'erez, D. A. Oluyori","doi":"10.53391/mmnsa.2022.016","DOIUrl":"https://doi.org/10.53391/mmnsa.2022.016","url":null,"abstract":"We propose a new epidemic model to study the coinfection dynamics of COVID-19 and bacterial pneumonia, which is the first model in the literature used to describe mathematically the interaction of these two diseases while considering two infection ways for pneumonia: community-acquired and hospital-acquired transmission. We show that the existence and local stability of equilibria depend on three different parameters, which are interpreted as the basic reproduction numbers of COVID-19, bacterial pneumonia, and bacterial population in the hospital. Numerical simulations are performed to complement our theoretical analysis, and we show that both diseases can persist if the basic reproduction number of COVID-19 is greater than one.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124386299","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}
引用次数: 15
Some integral inequalities via new family of preinvex functions 由一类新的前逆函数得到的一些积分不等式
Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2022-06-30 DOI: 10.53391/mmnsa.2022.010
M. Tariq, S. Sahoo, H. Ahmad, A. A. Shaikh, B. Kodamasingh, D. Khan
{"title":"Some integral inequalities via new family of preinvex functions","authors":"M. Tariq, S. Sahoo, H. Ahmad, A. A. Shaikh, B. Kodamasingh, D. Khan","doi":"10.53391/mmnsa.2022.010","DOIUrl":"https://doi.org/10.53391/mmnsa.2022.010","url":null,"abstract":"The main objective of this work is to introduce and define the concept of s-type m-preinvex function and derive the new sort of Hermite-Hadamard inequality via the newly discussed idea. Furthermore, to enhance the quality of paper, we prove two new lemmas and in order to these lemmas, we attain some extensions of Hermite-Hadamard-type inequality in the manner of newly explored definition. The concepts and tools of this paper may invigorate and revitalize for additional research in this mesmerizing and absorbing field of mathematics.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131596023","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}
引用次数: 1
Asymptotic behavior and semi-analytic solution of a novel compartmental biological model 一种新型室室生物模型的渐近行为和半解析解
Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2022-06-24 DOI: 10.53391/mmnsa.2022.008
M. Sinan, Jinsong Leng, M. Anjum, M. Fiaz
{"title":"Asymptotic behavior and semi-analytic solution of a novel compartmental biological model","authors":"M. Sinan, Jinsong Leng, M. Anjum, M. Fiaz","doi":"10.53391/mmnsa.2022.008","DOIUrl":"https://doi.org/10.53391/mmnsa.2022.008","url":null,"abstract":"This study proposes a novel mathematical model of COVID-19 and its qualitative properties. Asymptotic behavior of the proposed model with local and global stability analysis is investigated by considering the Lyapunov function. The mentioned model is globally stable around the disease-endemic equilibrium point conditionally. For a better understanding of the disease propagation with vaccination in the population, we split the population into five compartments: susceptible, exposed, infected, vaccinated, and recovered based on the fundamental Kermack-McKendrick model. He's homotopy perturbation technique is used for the semi-analytical solution of the suggested model. For the sake of justification, we present the numerical simulation with graphical results.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130479543","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}
引用次数: 7
On a new approach to distributions with variable transmuting parameter: The concept and examples with emerging problems 变量变换参数分布的一种新方法:新问题的概念和实例
Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2022-06-19 DOI: 10.53391/mmnsa.2022.007
J. Hristov
{"title":"On a new approach to distributions with variable transmuting parameter: The concept and examples with emerging problems","authors":"J. Hristov","doi":"10.53391/mmnsa.2022.007","DOIUrl":"https://doi.org/10.53391/mmnsa.2022.007","url":null,"abstract":"A new concept in the transmutation of distribution applying variable transmuting function has been conceived. Test examples with power function by quadratic and cubic transmutations have been demonstrated by the applications of the error-function and standard logistic function variable transmuting functions. The efficiency and properties of the new approach by numerical examples addressing the rate constants of the transmuting functions and the shape parameter of the test power function have been demonstrated. An additional example with a quadratic transmutation of the exponential distribution through the error function as a variable transmuting parameter has been developed.","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"119 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132079210","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}
引用次数: 3
Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels 用 Mittag-Leffler 核分析分数阶乙型肝炎疫苗流行模型
Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2022-05-29 DOI: 10.53391/mmnsa.2022.006
Anwarud Din, M. Z. Abidin
{"title":"Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels","authors":"Anwarud Din, M. Z. Abidin","doi":"10.53391/mmnsa.2022.006","DOIUrl":"https://doi.org/10.53391/mmnsa.2022.006","url":null,"abstract":"<jats:p xml:lang=\"tr\" />","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123040038","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}
引用次数: 20
Shock absorber system dynamic model in model-based environment 基于模型环境的减震器系统动态模型
Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2022-03-31 DOI: 10.53391/mmnsa.2022.01.005
Nafi Kulaksiz, Sevval Cip, Zeynep Gedikoglu, M. Hancer
{"title":"Shock absorber system dynamic model in model-based environment","authors":"Nafi Kulaksiz, Sevval Cip, Zeynep Gedikoglu, M. Hancer","doi":"10.53391/mmnsa.2022.01.005","DOIUrl":"https://doi.org/10.53391/mmnsa.2022.01.005","url":null,"abstract":"<jats:p xml:lang=\"tr\" />","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124585981","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}
引用次数: 1
Three-dimensional fractional system with the stability condition and chaos control 具有稳定条件和混沌控制的三维分数系统
Mathematical Modelling and Numerical Simulation with Applications Pub Date : 2022-02-16 DOI: 10.53391/mmnsa.2022.01.004
Molood Gholami, R. K. Ghaziani, Z. Eskandari
{"title":"Three-dimensional fractional system with the stability condition and chaos control","authors":"Molood Gholami, R. K. Ghaziani, Z. Eskandari","doi":"10.53391/mmnsa.2022.01.004","DOIUrl":"https://doi.org/10.53391/mmnsa.2022.01.004","url":null,"abstract":"","PeriodicalId":210715,"journal":{"name":"Mathematical Modelling and Numerical Simulation with Applications","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133923288","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}
引用次数: 17
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信