J. Appl. Math.最新文献_第6页

A New Credit and Loan Lending Strategy and Credit in Banking Systems: An Evolutionary Game Theory Approach 一种新的信贷策略和银行系统中的信贷:一个进化博弈论的方法

J. Appl. Math. Pub Date : 2022-12-13 DOI: 10.1155/2022/3400319

Zohreh Lashgari, Alireza Bahiraie, M. Gordji

{"title":"A New Credit and Loan Lending Strategy and Credit in Banking Systems: An Evolutionary Game Theory Approach","authors":"Zohreh Lashgari, Alireza Bahiraie, M. Gordji","doi":"10.1155/2022/3400319","DOIUrl":"https://doi.org/10.1155/2022/3400319","url":null,"abstract":"In this paper, authors offer one novel mathematical model of credit lending to customers based on evolutionary game theory, and the model presents an efficient and realistic approach. The purpose of the article is to examine the evolutionary game between banks and customers for granting facilities and credit. Authors assumed that customers are divided into two types. The first type of customers includes individuals or small and medium enterprises (SME), applying for microloans from the bank. The second type of customers includes corporate banking or large enterprises, applying for large loans from the bank. The relationship between the bank and the customers is a double-sided problem. Banks and customers may trust each other or want to behave opportunistically. The results show that the game has two equilibriums, and the optimal equilibrium, which is the best-case scenario, occurs when customers and bank players tending to keep “honest” and to “credit,” respectively. Authors used the evolutionary stable strategy to express the parameters that affect these interactions, and by adjusting some of these parameters, authors move the equilibrium towards the optimal solution of the game. Also, by adjusting these parameters, banks can gain more profitability.","PeriodicalId":14766,"journal":{"name":"J. Appl. Math.","volume":"26 1","pages":"3400319:1-3400319:12"},"PeriodicalIF":0.0,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78117730","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

Mathematical Analysis of the Transmission Dynamics of Skin Cancer Caused by UV Radiation 紫外线辐射致皮肤癌传播动力学的数学分析

J. Appl. Math. Pub Date : 2022-12-07 DOI: 10.1155/2022/5445281

T. Parvin, M. H. A. Biswas, B. Datta

{"title":"Mathematical Analysis of the Transmission Dynamics of Skin Cancer Caused by UV Radiation","authors":"T. Parvin, M. H. A. Biswas, B. Datta","doi":"10.1155/2022/5445281","DOIUrl":"https://doi.org/10.1155/2022/5445281","url":null,"abstract":"Nowadays, skin cancer is a worldwide panic. It is related to ultraviolet radiation. In this paper, we have formulated a SIRS type mathematical model to show the effects of ultraviolet radiation on skin cancer. At first, we have showed the boundedness and positivity of the model solutions to verify the model’s existence and uniqueness. The boundedness and positivity gave the solutions of our model bounded and positive, which was very important for real-world situation because in real world, population cannot be negative. Then, we have popped out all the equilibrium points of our model and verified the stability of the equilibrium points. This stability test expressed some physical situation of our model. The disease-free equilibrium point is locally asymptotically stable if \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 0\u0000 \u0000 \u0000 <\u0000 1\u0000 \u0000 and if \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 0\u0000 \u0000 \u0000 >\u0000 1\u0000 \u0000 , then it is unstable. Again, the endemic equilibrium point is stable, if \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 0\u0000 \u0000 \u0000 >\u0000 1\u0000 \u0000 and unstable if \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 0\u0000 \u0000 \u0000 <\u0000 1\u0000 \u0000 . In order to understand the dynamical behavior of the model’s equilibrium points, we examined the phase portrait. We also have observed the sensitivity of the model parameters. After this, we have investigated the different scenarios of bifurcations of the model’s parameters. At the set of Hopf bifurcation parameters when infection rate due to UV rays is less than \u0000 \u0000 \u0000 \u0000 α\u0000 \u0000 \u0000 1\u0000 \u0000 \u0000 =\u0000 0.01\u0000 \u0000 , proper control may eradicate the existence of disease. From transcritical bifurcation, we can say when recovery rate greater than 1.9, then the disease of skin cancer can be eliminated and when recovery rate less than 1.9 then the disease of skin cancer cannot be eradicated. Finally, numerical analysis is done to justify our analytical findings.","PeriodicalId":14766,"journal":{"name":"J. Appl. Math.","volume":"39 1","pages":"5445281:1-5445281:22"},"PeriodicalIF":0.0,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87749514","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

A Fractional Model for the Dynamics of Smoking Tobacco Using Caputo-Fabrizio Derivative 基于Caputo-Fabrizio导数的吸烟动力学分数阶模型

J. Appl. Math. Pub Date : 2022-12-06 DOI: 10.1155/2022/2009910

Belaynesh Melkamu, Benyam Mebrate

{"title":"A Fractional Model for the Dynamics of Smoking Tobacco Using Caputo-Fabrizio Derivative","authors":"Belaynesh Melkamu, Benyam Mebrate","doi":"10.1155/2022/2009910","DOIUrl":"https://doi.org/10.1155/2022/2009910","url":null,"abstract":"In this paper, we propose a Caputo–Fabrizio fractional derivative mathematical model consisting of smoker, people exposed to secondhand smoker, people exposed to thirdhand smoker, and quitters. Secondhand smoke exposure consists of an unintentional inhalation of smoke that occurs close to people smoking and/or in indoor environments where tobacco was recently used, and thirdhand smoke consists of pollutants that remain on surfaces and in dust after tobacco has been smoked, are reemitted into the gas phase, or react with other compounds in the environment to form secondary pollutants. The solution of the proposed model, which is carried out using a fixed-point theorem and an iterative method, exists and is unique. Furthermore, the model is biologically meaningful, that is, positive and bounded. The reproduction number \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 0\u0000 \u0000 \u0000 \u0000 is determined from the model. If \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 0\u0000 \u0000 \u0000 <\u0000 1\u0000 \u0000 , the smoking-free equilibrium point is asymptotically stable, and if \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 0\u0000 \u0000 \u0000 >\u0000 1\u0000 \u0000 , the smoking-free equilibrium point is unstable. The results confirm that the smoking-free equilibrium point becomes increasingly stable as the fractional order is increased. Numerical simulations are performed using a three-step Adams-Moulton predictor-corrector method for a range of fractional orders to show the effects of varying the fractional order and to support the theoretical results.","PeriodicalId":14766,"journal":{"name":"J. Appl. Math.","volume":"34 1","pages":"2009910:1-2009910:10"},"PeriodicalIF":0.0,"publicationDate":"2022-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87133082","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

Comparison of the Flow Fields between Nozzles with Full-Open and Open-Close Valves at Transonic Velocity 跨声速全开与启闭喷嘴流场的比较

J. Appl. Math. Pub Date : 2022-11-30 DOI: 10.1155/2022/6875240

Zijie Li, Hao Wang

{"title":"Comparison of the Flow Fields between Nozzles with Full-Open and Open-Close Valves at Transonic Velocity","authors":"Zijie Li, Hao Wang","doi":"10.1155/2022/6875240","DOIUrl":"https://doi.org/10.1155/2022/6875240","url":null,"abstract":"At transonic velocity, ejector nozzles require third auxiliary intake valves to increase air intake, resulting in good thrust performance. However, different intake structures will inevitably lead to different internal flow-field structures and thrust performances. To evaluate the differences between nozzles with full-open valve and open-close valve at transonic velocity, we established two numerical simulation models to analyze the flow-field structure and thrust performance in the ejector nozzle. The results show that at the transonic flight state (\u0000 \u0000 Ma\u0000 =\u0000 1.2\u0000 \u0000 ), the mainstream of the two models always maintains an overexpansion state, and the primary flow fields are highly similar. However, the secondary and the third auxiliary flow fields are significantly different. Notably, in the nozzle with open-close valve, a lateral flow occurs near the wall of the nozzle tail, resulting in several vortexes. Contrarily, in the nozzle with full-open valve, there is almost no lateral flow or vortex. Further, we found that the secondary flow tends to roll up toward the third auxiliary valve instead of directly flowing into the nozzle. Thus, the thrust coefficients of the two nozzles differ.","PeriodicalId":14766,"journal":{"name":"J. Appl. Math.","volume":"12 1","pages":"6875240:1-6875240:11"},"PeriodicalIF":0.0,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73541055","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

Application of Big Data Clustering Algorithm in Electrical Engineering Automation 大数据聚类算法在电气工程自动化中的应用

J. Appl. Math. Pub Date : 2022-11-22 DOI: 10.1155/2022/1916337

Yongchang Zhang, Zhe Zhang

引用次数: 0

A Fundamental Criteria to Establish General Formulas of Integrals 建立一般积分公式的基本准则

J. Appl. Math. Pub Date : 2022-11-18 DOI: 10.1155/2022/6049367

Rania Saadeh, Mohammad Abu Ghuwaleh, Ahmad Mohammad Qazza, Emad A. Kuffi

引用次数: 7

Application of Adaptive Genetic Algorithm in Optimal Scheduling of Aviation Materials 自适应遗传算法在航空材料优化调度中的应用

J. Appl. Math. Pub Date : 2022-11-17 DOI: 10.1155/2022/1467935

J. Shang

引用次数: 0

Mechanical Structure Design of the Aircraft ASD Control Isolation Control 飞机ASD控制隔离控制的机械结构设计

J. Appl. Math. Pub Date : 2022-11-16 DOI: 10.1155/2022/8306216

Shi Qiongyan, Jianghua Zhang

引用次数: 0

Trivariate Stochastic Weather Model for Predicting Maize Yield 玉米产量预测的三变量随机天气模型

J. Appl. Math. Pub Date : 2022-11-15 DOI: 10.1155/2022/3633658

Patrick Chidzalo, Phillip O. Ngare, J. Mung'atu

{"title":"Trivariate Stochastic Weather Model for Predicting Maize Yield","authors":"Patrick Chidzalo, Phillip O. Ngare, J. Mung'atu","doi":"10.1155/2022/3633658","DOIUrl":"https://doi.org/10.1155/2022/3633658","url":null,"abstract":"Maize yield prediction in the sub-Saharan region is imperative for mitigation of risks emanating from crop loss due to changes in climate. Temperature, rainfall amount, and reference evapotranspiration are major climatic factors affecting maize yield. They are not only interdependent but also have significantly changed due to climate change, which causes nonlinearity and nonstationarity in weather data. Hence, there exists a need for a stochastic process for predicting maize yield with higher precision. To solve the problem, this paper constructs a joint stochastic process that acquires joints effects of the three weather processes from joint a probability density function (pdf) constructed using copulas that maintain interdependence. Stochastic analyses are applied on the pdf and process to account for nonlinearity and nonstationarity, and also establish a corresponding stochastic differential equation (SDE) for maize yield. The trivariate stochastic process predicts maize yield with \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 2\u0000 \u0000 \u0000 =\u0000 0.8389\u0000 \u0000 and \u0000 \u0000 M\u0000 A\u0000 P\u0000 E\u0000 =\u0000 4.31\u0000 %\u0000 \u0000 under a deep learning framework. Its aggregated values predict maize yield with \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 2\u0000 \u0000 \u0000 \u0000 up to 0.9765 and \u0000 \u0000 M\u0000 A\u0000 P\u0000 E\u0000 =\u0000 1.94\u0000 %\u0000 \u0000 under common machine learning algorithms. Comparatively, the \u0000 \u0000 \u0000 \u0000 R\u0000 \u0000 \u0000 2\u0000 \u0000 \u0000 \u0000 is 0.8829% and \u0000 \u0000 M\u0000 A\u0000 P\u0000 E\u0000 =\u0000 4.18\u0000 %\u0000 \u0000 , under the maize yield SDE. Thus, the joint stochastic process can be used to predict maize yield with higher precision.","PeriodicalId":14766,"journal":{"name":"J. Appl. Math.","volume":"205 1","pages":"3633658:1-3633658:32"},"PeriodicalIF":0.0,"publicationDate":"2022-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80364103","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

Calculation Model and Case Study of Water-Saving Quantity in Typical Industrial Enterprises 典型工业企业节水量计算模型及实例研究

J. Appl. Math. Pub Date : 2022-11-14 DOI: 10.1155/2022/2653671

Chunyan Zhu, Mengting Hu, Xue Bai, Lan Zhang

引用次数: 0