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

Efficiency enhancement of the modified EWMA control method with conditional expected delay for change detection in processes 基于条件期望延迟的改进EWMA控制方法在过程变化检测中的效率提高

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-09-15 DOI: 10.3389/fams.2023.1268340

Nasrullah Khan, Muhammad Aslam, Mohammed Albassam

{"title":"Efficiency enhancement of the modified EWMA control method with conditional expected delay for change detection in processes","authors":"Nasrullah Khan, Muhammad Aslam, Mohammed Albassam","doi":"10.3389/fams.2023.1268340","DOIUrl":"https://doi.org/10.3389/fams.2023.1268340","url":null,"abstract":"This study investigates the efficiency of a modified exponentially weighted moving average (EWMA) control method using conditional expected delay to improve its efficiency in detecting changes in a process over time. While the modified EWMA control method is commonly used for this purpose, it can sometimes experience delays in detecting changes. The proposed method aims to address this limitation by incorporating conditional expected delay. The study utilizes simulations to conduct a performance comparison between the modified EWMA control method and the conventional EWMA control, employing the metric of conditional expected delay. Simulation results demonstrate the modified EWMA control method with conditional expected delay in terms of accurately and rapidly detecting changes. Overall, this study concludes that the integration of conditional expected delay into the modified EWMA control method can increase its effectiveness in detecting changes in a process. This has significant practical implications for a variety of industries that require timely and accurate detection of changes to maintain product quality and optimize processes.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135437813","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

Lagrangian motion magnification with double sparse optical flow decomposition 双稀疏光流分解的拉格朗日运动放大

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-09-14 DOI: 10.3389/fams.2023.1164491

Philipp Flotho, Cosmas Heiss, Gabriele Steidl, Daniel J. Strauss

{"title":"Lagrangian motion magnification with double sparse optical flow decomposition","authors":"Philipp Flotho, Cosmas Heiss, Gabriele Steidl, Daniel J. Strauss","doi":"10.3389/fams.2023.1164491","DOIUrl":"https://doi.org/10.3389/fams.2023.1164491","url":null,"abstract":"Microexpressions are fast and spatially small facial expressions that are difficult to detect. Therefore, motion magnification techniques, which aim at amplifying and hence revealing subtle motion in videos, appear useful for handling such expressions. There are basically two main approaches, namely, via Eulerian or Lagrangian techniques. While the first one magnifies motion implicitly by operating directly on image pixels, the Lagrangian approach uses optical flow (OF) techniques to extract and magnify pixel trajectories. In this study, we propose a novel approach for local Lagrangian motion magnification of facial micro-motions. Our contribution is 3-fold: first, we fine tune the recurrent all-pairs field transforms (RAFT) for OFs deep learning approach for faces by adding ground truth obtained from the variational dense inverse search (DIS) for the OF algorithm applied to the CASME II video set of facial micro expressions. This enables us to produce OFs of facial videos in an efficient and sufficiently accurate way. Second, since facial micro-motions are both local in space and time, we propose to approximate the OF field by sparse components both in space and time leading to a double sparse decomposition. Third, we use this decomposition to magnify micro-motions in specific areas of the face, where we introduce a new forward warping strategy using a triangular splitting of the image grid and barycentric interpolation of the RGB vectors at the corners of the transformed triangles. We demonstrate the feasibility of our approach by various examples.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134911555","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

Numerical treatment for mathematical model of farming awareness in crop pest management 农作物病虫害管理中农业意识数学模型的数值处理

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-09-07 DOI: 10.3389/fams.2023.1208774

Nabeela Anwar, Iftikhar Ahmad, A. Kiani, M. Shoaib, M. Raja

{"title":"Numerical treatment for mathematical model of farming awareness in crop pest management","authors":"Nabeela Anwar, Iftikhar Ahmad, A. Kiani, M. Shoaib, M. Raja","doi":"10.3389/fams.2023.1208774","DOIUrl":"https://doi.org/10.3389/fams.2023.1208774","url":null,"abstract":"The most important factor for increasing crop production is pest and pathogen resistance, which has a major impact on global food security. Pest management also emphasizes the need for farming awareness. A high crop yield is ultimately achieved by protecting crops from pests and raising public awareness of the devastation caused by pests. In this research, we aim to investigate the intricate impacts of nonlinear delayed systems for managing crop pest management (CPM) supervised by Ordinary Differential Equations (ODEs). Our focus will be on highlighting the intricate and often unpredictable relationships that occur over time among crops, pests, strategies for rehabilitation, and environmental factors. The nonlinear delayed CPM model incorporated the four compartments: crop biomass density [B(t)], susceptible pest density [S(t)], infected pest density [I(t)], and population awareness level [A(t)]. The approximate solutions for the four compartments B(t), S(t), I(t), and A(t) are determined by the implementation of sundry scenarios generated with the variation in crop biomass growth rate, rate of pest attacks, pest natural death rate, disease associated death rate and memory loss of aware people, by means of exploiting the strength of the Adams (ADS) and explicit Runge-Kutta (ERK) numerical solvers. Comparative analysis of the designed approach is carried out for the dynamic impacts of the nonlinear delayed CPM model in terms of numerical outcomes and simulations based on sundry scenarios.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":" ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44145575","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

The regime-conversion method: a hybrid technique for simulating well-mixed chemical reaction networks 状态转换法:一种模拟混合良好的化学反应网络的混合技术

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-09-07 DOI: 10.3389/fams.2023.1107441

Joshua C. Kynaston, Christian A. Yates, Anna V. F. Hekkink, Chris Guiver

{"title":"The regime-conversion method: a hybrid technique for simulating well-mixed chemical reaction networks","authors":"Joshua C. Kynaston, Christian A. Yates, Anna V. F. Hekkink, Chris Guiver","doi":"10.3389/fams.2023.1107441","DOIUrl":"https://doi.org/10.3389/fams.2023.1107441","url":null,"abstract":"There exist several methods for simulating biological and physical systems as represented by chemical reaction networks. Systems with low numbers of particles are frequently modeled as discrete-state Markov jump processes and are typically simulated via a stochastic simulation algorithm (SSA). An SSA, while accurate, is often unsuitable for systems with large numbers of individuals, and can become prohibitively expensive with increasing reaction frequency. Large systems are often modeled deterministically using ordinary differential equations, sacrificing accuracy and stochasticity for computational efficiency and analytical tractability. In this paper, we present a novel hybrid technique for the accurate and efficient simulation of large chemical reaction networks. This technique, which we name the regime-conversion method, couples a discrete-state Markov jump process to a system of ordinary differential equations by simulating a reaction network using both techniques simultaneously. Individual molecules in the network are represented by exactly one regime at any given time, and may switch their governing regime depending on particle density. In this manner, we model high copy-number species using the cheaper continuum method and low copy-number species using the more expensive, discrete-state stochastic method to preserve the impact of stochastic fluctuations at low copy number. The motivation, as with similar methods, is to retain the advantages while mitigating the shortfalls of each method. We demonstrate the performance and accuracy of our method for several test problems that exhibit varying degrees of inter-connectivity and complexity by comparing averaged trajectories obtained from both our method and from exact stochastic simulation.","PeriodicalId":36662,"journal":{"name":"Frontiers in Applied Mathematics and Statistics","volume":"1 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41786833","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

Parameter-uniformly convergent numerical scheme for singularly perturbed delay parabolic differential equation via extended B-spline collocation 基于扩展b样条配置的奇摄动时滞抛物型微分方程参数一致收敛的数值格式

IF 1.4

Frontiers in Applied Mathematics and Statistics Pub Date : 2023-09-07 DOI: 10.3389/fams.2023.1255672

Zerihun Ibrahim Hassen, G. Duressa

引用次数: 0

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