Frontiers in Applied Mathematics and Statistics最新文献_第5页

A nonstandard fitted operator finite difference method for two-parameter singularly perturbed time-delay parabolic problems 两参数奇摄动时滞抛物型问题的非标准拟合法算子有限差分法

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-09-05 DOI: 10.3389/fams.2023.1222162

Mekashaw Ali Mohye, J. Munyakazi, T. G. Dinka

{"title":"A nonstandard fitted operator finite difference method for two-parameter singularly perturbed time-delay parabolic problems","authors":"Mekashaw Ali Mohye, J. Munyakazi, T. G. Dinka","doi":"10.3389/fams.2023.1222162","DOIUrl":"https://doi.org/10.3389/fams.2023.1222162","url":null,"abstract":"In this article, a class of singularly perturbed time-delay two-parameter second-order parabolic problems are considered. The presence of the two small parameters attached to the derivatives causes the solution of the given problem to exhibit boundary layer(s). We have developed a uniformly convergent nonstandard fitted operator finite difference method (NSFOFDM) to solve the considered problems. The Crank-Nicolson scheme with a uniform mesh is used for the discretization of the time derivative, while for the spatial discretization, we have applied a fitted operator finite difference method following the nonstandard methodology of Mickens. Moreover, the solution bounds of the governing equation are shown by asymptotic analysis. The convergence of the proposed numerical scheme is investigated using truncation error and the barrier function approach. The study shows that our proposed scheme is uniformly convergent independent of the perturbation parameters, quadratically in time, and linearly in space. Numerical experiments are carried out, and the results are presented in tables and graphically.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47646881","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

Editorial: Do individuals matter? - Individual-based versus population-based models applied to biology and health 社论：个人重要吗应用于生物学和健康的基于个体与基于人群的模型

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-09-05 DOI: 10.3389/fams.2023.1272392

Ivo Siekmann, James M. Osborne

引用次数: 0

Fitted computational method for singularly perturbed convection-diffusion equation with time delay 时滞奇摄动对流扩散方程的拟合计算方法

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-31 DOI: 10.3389/fams.2023.1244490

Sisay Ketema Tesfaye, G. Duressa, M. Woldaregay, T. G. Dinka

{"title":"Fitted computational method for singularly perturbed convection-diffusion equation with time delay","authors":"Sisay Ketema Tesfaye, G. Duressa, M. Woldaregay, T. G. Dinka","doi":"10.3389/fams.2023.1244490","DOIUrl":"https://doi.org/10.3389/fams.2023.1244490","url":null,"abstract":"A uniformly convergent numerical scheme is proposed to solve a singularly perturbed convection-diffusion problem with a large time delay. The diffusion term of the problem is multiplied by a perturbation parameter, ε. For a small ε, the problem exhibits a boundary layer, which makes it challenging to solve it analytically or using standard numerical methods. As a result, the backward Euler scheme is applied in the temporal direction. Non-symmetric finite difference schemes are applied for approximating the first-order derivative terms, and a higher-order finite difference method is applied for approximating the second-order derivative term. Furthermore, an exponential fitting factor is computed and induced in the difference scheme to handle the effect of the small parameter. Using the discrete maximum principle, the stability of the scheme is examined and analyzed. The developed scheme is parameter-uniform with a linear order of convergence in both space and time. To examine the accuracy of the method, two model examples are considered. Further, the boundary layer behavior of the solutions is given graphically.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48910337","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

Cost effectiveness and optimal control analysis for bimodal pneumonia dynamics with the effect of children's breastfeeding 考虑母乳喂养影响的双峰型肺炎动力学的成本-效果及最优控制分析

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-31 DOI: 10.3389/fams.2023.1224891

F. Legesse, Koya Purnachandra Rao, T. Keno

{"title":"Cost effectiveness and optimal control analysis for bimodal pneumonia dynamics with the effect of children's breastfeeding","authors":"F. Legesse, Koya Purnachandra Rao, T. Keno","doi":"10.3389/fams.2023.1224891","DOIUrl":"https://doi.org/10.3389/fams.2023.1224891","url":null,"abstract":"The global impact of exclusive versus inclusive nursing on particular baby mortalities and morbidities from conception to 6 months is examined in this study. Exclusive breastfeeding practices are more crucial and effective in preventing illness outbreaks when there is no access to appropriate medications or vaccinations. Additionally, this study takes optimal control theory into account, applying it to a system of differential equations that uses Pontryagin's Maximum Principle to describe a bimodal pneumonia transmission behavior in a vulnerable compartment. The proposed pneumonia transmission model was then updated to include two control variables. These include preventing illness exposure in susceptible children through various preventative measures and treating infected children through antibiotics, hospital care, and other treatments. If the threshold number (ℜ0) is less than one, then treatment and prevention rates are increased, and the disease will be wiped out of the population. However, when (ℜ0) is greater than one, then the disease persists in the population, which indicates that prevention and treatment rates are low. To evaluate the cost-effectiveness of all potential control techniques and their combinations, the incremental cost-effectiveness ratio (ICER) was determined. The simulation results of the identified model show that the interventions of prevention and treatment scenarios were the most successful in eradicating the dynamics of the pneumonia disease's propagation during the epidemic, but they were ineffective from a cost-saving perspective. Therefore, limiting pneumonia transmission to prevention alone during an outbreak is the most economical course of action.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45846291","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

Role of the whitefly maturation period on mosaic disease propagation in Jatropha curcas plant 白蝇成熟期对麻疯树植物花叶病毒繁殖的影响

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-30 DOI: 10.3389/fams.2023.1238497

Fahad Al Basir

引用次数: 0

Lp-Sampling recovery for non-compact subclasses of L∞ L∞非紧子类的lp采样恢复

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-24 DOI: 10.3389/fams.2023.1216331

G. Byrenheid, S. Stasyuk, T. Ullrich

{"title":"Lp-Sampling recovery for non-compact subclasses of L∞","authors":"G. Byrenheid, S. Stasyuk, T. Ullrich","doi":"10.3389/fams.2023.1216331","DOIUrl":"https://doi.org/10.3389/fams.2023.1216331","url":null,"abstract":"In this article, we study the sampling recovery problem for certain relevant multivariate function classes on the cube [0, 1]d, which are not compactly embedded into L∞([0,1]d). Recent tools relating the sampling widths to the Kolmogorov or best m-term trigonometric widths in the uniform norm are therefore not applicable. In a sense, we continue the research on the small smoothness problem by considering limiting smoothness in the context of Besov and Triebel-Lizorkin spaces with dominating mixed regularity such that the sampling recovery problem is still relevant. There is not much information available on the recovery of such functions except for a previous result by Oswald in the univariate case and Dinh Dũng in the multivariate case. As a first step, we prove the uniform boundedness of the ℓp-norm of the Faber coefficients at a fixed level by Fourier analytic means. Using this, we can control the error made by a (Smolyak) truncated Faber series in Lq([0,1]d) with q <∞. It turns out that the main rate of convergence is sharp. Thus, we obtain results also for S1,∞1F([0,1]d), a space “close” to S11W([0,1]d), which is important in numerical analysis, especially numerical integration, but has rather poor Fourier analytical properties.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46072108","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

Carrot or stick? A study on “bid-rigging norms” by simulation: inducing factors and deterring measures 胡萝卜还是大棒?“串通投标规范”的模拟研究:诱发因素与遏制措施

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-24 DOI: 10.3389/fams.2023.1045108

H. Morofuji, S. Kurahashi

{"title":"Carrot or stick? A study on “bid-rigging norms” by simulation: inducing factors and deterring measures","authors":"H. Morofuji, S. Kurahashi","doi":"10.3389/fams.2023.1045108","DOIUrl":"https://doi.org/10.3389/fams.2023.1045108","url":null,"abstract":"This study aims to analyze the structure of the emergence and maintenance of the cartel mechanism as an informal organization and the measures to deter bid-rigging. We propose an agent-based bid-rigging norms model and validate it with a mathematical model. We clarify that the auction system primarily used in public procurements has a structure inducing bid-rigging in which meta-norms are unnecessary. We also show that punishment for deviation from bid-rigging plays a critical role in establishing and maintaining it. In addition, we explore the authorities' actions to deter bid-rigging by examining three measures: the flexible setting of reserve prices, the administrative surcharge and leniency system under the Antimonopoly Law, and applying the bid-rigging offense under the Criminal Law. As a result, the study reveals that the administrative surcharge and the leniency system are insufficient to deter bid-rigging, and the adequate measures are the flexible setting of reserve prices and applying the bid-rigging offense. Furthermore, the simultaneous implementation of these three measures more effectively enables deterring bid-rigging.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48362170","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 mathematical model for Chagas disease transmission with neighboring villages 恰加斯病与邻村传播的数学模型

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-16 DOI: 10.3389/fams.2023.1225137

Daniel J. Coffield, A. Spagnuolo, Ryan Capouellez, G. Stryker

{"title":"A mathematical model for Chagas disease transmission with neighboring villages","authors":"Daniel J. Coffield, A. Spagnuolo, Ryan Capouellez, G. Stryker","doi":"10.3389/fams.2023.1225137","DOIUrl":"https://doi.org/10.3389/fams.2023.1225137","url":null,"abstract":"Chagas disease has been the target of widespread control programs, primarily through residual insecticide treatments. However, in some regions like the Gran Chaco, these efforts have failed to sufficiently curb the disease. Vector reinfestation into homes and vector resistance to insecticides are possible causes of the control failure. This work proposes a mathematical model for the dynamics of Chagas disease in neighboring rural villages of the Gran Chaco region, incorporating human travel between the villages, passive vector migration, and insecticide resistance. Computational simulations across a wide variety of scenarios are presented. The simulations reveal that the effects of human travel and passive vector migration are secondary and unlikely to play a significant role in the overall dynamics, including the number of human infections. The numerical results also show that insecticide resistance causes a notable increase in infections and is an especially important source of reinfestation when spraying stops. The results suggest that control strategies related to migration and travel between the villages are unlikely to yield meaningful benefit and should instead focus on other reinfestation sources like domestic foci that survive insecticide spraying or sylvatic foci.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48725760","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

Modeling and analysis of the addiction of social media through fractional calculus 基于分数演算的社交媒体成瘾建模与分析

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-09 DOI: 10.3389/fams.2023.1210404

Meshal Shutaywi, Ziad Ur Rehman, Z. Shah, N. Vrinceanu, Rashid Jan, Wejdan Deebani, O. Dumitrașcu

{"title":"Modeling and analysis of the addiction of social media through fractional calculus","authors":"Meshal Shutaywi, Ziad Ur Rehman, Z. Shah, N. Vrinceanu, Rashid Jan, Wejdan Deebani, O. Dumitrașcu","doi":"10.3389/fams.2023.1210404","DOIUrl":"https://doi.org/10.3389/fams.2023.1210404","url":null,"abstract":"Social media addiction (SMA) is the excessive use of social media platforms, resulting in negative consequences for individuals. It is characterized by an uncontrollable urge to use social media, leading to negative effects in human's life. This study aims to construct a mathematical model to conceptualize the transmission dynamics of SMA and explore the underlying mechanisms of this harmful addiction in the framework of fractional derivative. The fundamentals of fractional calculus are listed for examining the model. Equilibrium points are identified, and the reproduction parameter R0 is computed to understand the dynamics of SMA spread. Stability analysis of the equilibria is performed, and the impact of various input parameters is numerically investigated. The existence and uniqueness of the proposed SMA model are demonstrated through simulations, which also study the intricate dynamics with respect to different input factors. To develop effective control strategies, the system's dynamical behavior is examined, and the influence of fractional derivative order on fluctuations is explored. This research offers a range of suggestions aimed at reducing the occurrence of social media addiction.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49493737","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

Editorial: Physical and statistical approaches to earthquake modeling and forecasting 社论:地震建模和预报的物理和统计方法

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-08-08 DOI: 10.3389/fams.2023.1268240

I. Spassiani, M. Taroni, A. Stallone, Pietro Artale Harris

引用次数: 0