J. Appl. Math.最新文献_第2页

Mathematical Modeling and Analysis on the Effects of Surgery and Chemotherapy on Lung Cancer 肺癌手术与化疗效果的数学建模与分析

J. Appl. Math. Pub Date : 2023-06-23 DOI: 10.1155/2023/4201373

Md. Ahsan Ullah, Uzzwal Kumar Mallick

引用次数: 0

An Alternative Method for Analytical Solutions of Two-Dimensional Black-Scholes-Merton Equation 二维Black-Scholes-Merton方程解析解的一种替代方法

J. Appl. Math. Pub Date : 2023-06-21 DOI: 10.1155/2023/6725686

Jun Yu, Michael J. Tomas

引用次数: 0

Mathematical Optimization on Hybrid Channel Pricing Digital Products in Two-Sided Market with Network Effect 网络效应下双边市场数字产品混合渠道定价的数学优化

J. Appl. Math. Pub Date : 2023-05-27 DOI: 10.1155/2023/4456931

W. Li, Yan-peng He, Shuangbao Ma

{"title":"Mathematical Optimization on Hybrid Channel Pricing Digital Products in Two-Sided Market with Network Effect","authors":"W. Li, Yan-peng He, Shuangbao Ma","doi":"10.1155/2023/4456931","DOIUrl":"https://doi.org/10.1155/2023/4456931","url":null,"abstract":"In the two-sided market where the third-party platforms connect the providers and consumers, the online platforms become the significant distribution channel of digital products; therefore, the digital product firms face the hybrid channel pricing problem in the two-sided market in which the products are launched through the platform channel and the existing direct channel. Because the network externality effect is the significant economic characteristic of digital products and services, the current work presents the models of consumers’ utility obtained by adopting digital products from the direct and platform channels, and the utility models use the network effect in the direct and platform channels as the parameters. The optimization model on pricing is derived from the utility models and solved mathematically. The closed-form solutions show that the price in the direct channel is supposed to be lower than that in the platform channel, while the prices of digital products would be affected by the network effect only when the products are distributed through the direct channel. The comparative statics analysis on the network effect illustrates that the network effect in the direct channel and the platform channel would, respectively, have the positive and negative impact on the products’ prices and the firms’ profit. The current work explores the hybrid channel pricing problem and provides insights for the digital product firms on the optimal pricing decision in the context of the emerging platform economy.","PeriodicalId":14766,"journal":{"name":"J. Appl. Math.","volume":"2023 1","pages":"4456931:1-4456931:8"},"PeriodicalIF":0.0,"publicationDate":"2023-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75443397","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: 0

Error Bounds for Approximations Using Multichannel Deep Convolutional Neural Networks with Downsampling 带下采样的多通道深度卷积神经网络逼近误差界

J. Appl. Math. Pub Date : 2023-05-18 DOI: 10.1155/2023/8208424

Xinling Liu, Jingyao Hou

引用次数: 0

Exact Nonlinear Spectral Analysis of Nonsmooth WENO-JS Solutions 非光滑WENO-JS解的精确非线性谱分析

J. Appl. Math. Pub Date : 2023-05-10 DOI: 10.1155/2023/4941679

T. Kasem

引用次数: 0

Modeling Cholera Epidemiology Using Stochastic Differential Equations 用随机微分方程模拟霍乱流行病学

J. Appl. Math. Pub Date : 2023-05-09 DOI: 10.1155/2023/7232395

W. Iddrisu, Inusah D. Iddrisu, Abdul-Karim Iddrisu

{"title":"Modeling Cholera Epidemiology Using Stochastic Differential Equations","authors":"W. Iddrisu, Inusah D. Iddrisu, Abdul-Karim Iddrisu","doi":"10.1155/2023/7232395","DOIUrl":"https://doi.org/10.1155/2023/7232395","url":null,"abstract":"In this study, we extend Codeço’s classical SI-B epidemic and endemic model from a deterministic framework into a stochastic framework. Then, we formulated it as a stochastic differential equation for the number of infectious individuals \u0000 \u0000 I\u0000 \u0000 \u0000 t\u0000 \u0000 \u0000 \u0000 under the role of the aquatic environment. We also proved that this stochastic differential equation (SDE) exists and is unique. The reproduction number, \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 0\u0000 \u0000 \u0000 \u0000 , was derived for the deterministic model, and qualitative features such as the positivity and invariant region of the solution, the two equilibrium points (disease-free and endemic equilibrium), and stabilities were studied to ensure the biological meaningfulness of the model. Numerical simulations were also carried out for the stochastic differential equation (SDE) model by utilizing the Euler-Maruyama numerical method. The method was used to simulate the sample path of the SI-B stochastic differential equation for the number of infectious individuals \u0000 \u0000 I\u0000 \u0000 \u0000 t\u0000 \u0000 \u0000 \u0000 , and the findings showed that the sample path or trajectory of the stochastic differential equation for the number of infectious individuals \u0000 \u0000 I\u0000 \u0000 \u0000 t\u0000 \u0000 \u0000 \u0000 is continuous but not differentiable and that the SI-B stochastic differential equation model for the number of infectious individuals \u0000 \u0000 I\u0000 \u0000 \u0000 t\u0000 \u0000 \u0000 \u0000 fluctuates inside the solution of the SI-B ordinary differential equation model. Another significant feature of our proposed SDE model is its simplicity.","PeriodicalId":14766,"journal":{"name":"J. Appl. Math.","volume":"146 1","pages":"7232395:1-7232395:17"},"PeriodicalIF":0.0,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82896686","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: 0

Interaction of Two Rigid Spheres Oscillating in an Infinite Liquid under the Control of a Magnetic Field 磁场控制下在无限液体中振荡的两个刚性球体的相互作用

J. Appl. Math. Pub Date : 2023-05-05 DOI: 10.1155/2023/1146872

Shreen El-Sapa, W. Albalawi

引用次数: 1

Hydromagnetic Flow of Two Immiscible Couple Stress Fluids through Porous Medium in a Cylindrical Pipe with Slip Effect 带滑移效应的两种不混相耦合应力流体在圆柱管中通过多孔介质的磁流

J. Appl. Math. Pub Date : 2023-05-03 DOI: 10.1155/2023/1902844

Punnamchandar Bitla, Yitagesu Daba Kore

{"title":"Hydromagnetic Flow of Two Immiscible Couple Stress Fluids through Porous Medium in a Cylindrical Pipe with Slip Effect","authors":"Punnamchandar Bitla, Yitagesu Daba Kore","doi":"10.1155/2023/1902844","DOIUrl":"https://doi.org/10.1155/2023/1902844","url":null,"abstract":"In this study, the steady hydromagnetic flow of two immiscible couple stress fluids through a uniform porous medium in a cylindrical pipe with slip effect is investigated analytically. Essentially, the flow system is divided into two regions, region I and region II, which occupy the core and periphery of the system, respectively. The flow is driven by a constant pressure gradient applied in a direction parallel to the cylinder’s axis, and an external uniform magnetic field is applied in the direction perpendicular to the direction of fluid motion. Instead of the classical no-slip condition, the slip velocity along with vanishing couple stress boundary conditions is taken on the surface of the rigid cylinder, and continuity conditions of velocity, vorticity, shear stress, and couple stress are imposed at the fluid-fluid interface. The governing equations are modeled using the fully developed flow conditions. The resulting differential equations governing the flow in the two regions are converted to nondimensional forms using appropriate dimensionless variables. The nondimensional equations are solved analytically, and closed-form expressions for the flow velocity, flow rate, and stresses are derived in terms of the Bessel functions. The impacts of several parameters pertaining to the flow such as the magnetic number, couple stress parameters, Darcy number, viscosity ratio, Reynolds number, and slip parameter on the velocities in respective regions are examined and illustrated through graphs. The flow rate’s numerical values are also calculated for different fluid parameters and displayed in tabular form. It is found that increasing the magnetic number, viscosity ratio, Reynolds number, and slip parameters decreases the velocities of the fluids whereas increasing the couple stress parameter, Darcy number, and pressure gradient increases fluid velocities. The results obtained in this paper show an excellent agreement with the already existing results in the literature as limiting cases.","PeriodicalId":14766,"journal":{"name":"J. Appl. Math.","volume":"12 1","pages":"1902844:1-1902844:13"},"PeriodicalIF":0.0,"publicationDate":"2023-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87455139","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: 0

A Fast and Efficient Estimation of the Parameters of a Model of Accident Frequencies via an MM Algorithm 基于MM算法的事故频率模型参数快速有效估计

J. Appl. Math. Pub Date : 2023-04-19 DOI: 10.1155/2023/3377201

Issa Cherif Geraldo, Edoh Katchekpele, T. A. Kpanzou

引用次数: 1

Network Model with Scale-Free, High Clustering Coefficients, and Small-World Properties 具有无标度、高聚类系数和小世界性质的网络模型

J. Appl. Math. Pub Date : 2023-04-17 DOI: 10.1155/2023/5533260

Chuankui Yan

{"title":"Network Model with Scale-Free, High Clustering Coefficients, and Small-World Properties","authors":"Chuankui Yan","doi":"10.1155/2023/5533260","DOIUrl":"https://doi.org/10.1155/2023/5533260","url":null,"abstract":"Networks are prevalent in real life, and the study of network evolution models is very important for understanding the nature and laws of real networks. The distribution of the initial degree of nodes in existing classical models is constant or uniform. The model we proposed shows binomial distribution, and it is consistent with real network data. The theoretical analysis shows that the proposed model is scale-free at different probability values and its clustering coefficients are adjustable, and the Barabasi-Albert model is a special case of \u0000 \u0000 p\u0000 =\u0000 0\u0000 \u0000 in our model. In addition, the analytical results of the clustering coefficients can be estimated using mean-field theory. The mean clustering coefficients calculated from the simulated data and the analytical results tend to be stable. The model also exhibits small-world characteristics and has good reproducibility for short distances of real networks. Our model combines three network characteristics, scale-free, high clustering coefficients, and small-world characteristics, which is a significant improvement over traditional models with only a single or two characteristics. The theoretical analysis procedure can be used as a theoretical reference for various network models to study the estimation of clustering coefficients. The existence of stable equilibrium points of the model explains the controversy of whether scale-free is universal or not, and this explanation provides a new way of thinking to understand the problem.","PeriodicalId":14766,"journal":{"name":"J. Appl. Math.","volume":"74 1","pages":"5533260:1-5533260:11"},"PeriodicalIF":0.0,"publicationDate":"2023-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80968853","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: 0