Journal of Applied Mathematics and Computing最新文献_第8页

A matrix approach to the analysis and computation of robust cycles for Boolean control networks with disturbances 分析和计算有扰动的布尔控制网络鲁棒循环的矩阵方法

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-06-18 DOI: 10.1007/s12190-024-02158-5

Lei Deng, Shihua Fu, Xinling Li, Jianjun Wang

引用次数: 0

A mathematical model of malaria transmission with media-awareness and treatment interventions 带有媒体宣传和治疗干预措施的疟疾传播数学模型

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-06-17 DOI: 10.1007/s12190-024-02154-9

Andualem Tekle Haringo, Legesse Lemecha Obsu, Feyissa Kebede Bushu

{"title":"A mathematical model of malaria transmission with media-awareness and treatment interventions","authors":"Andualem Tekle Haringo, Legesse Lemecha Obsu, Feyissa Kebede Bushu","doi":"10.1007/s12190-024-02154-9","DOIUrl":"https://doi.org/10.1007/s12190-024-02154-9","url":null,"abstract":"Malaria, a lethal protozoan disease transmitted through the bites of female Anopheles mosquitoes infected with Plasmodium parasites, remains a significant global health concern. This study introduces a compartmental mathematical model to explore the impact of insecticide use and malaria treatment based on awareness initiatives. The model incorporates the influence of media-based awareness on the effectiveness of insecticide utilization for malaria control. Key mathematical properties, such as positivity, boundedness of solutions, feasibility, and stability of equilibria, are systematically investigated. Our analysis demonstrates that all solutions to the system are positive and bounded within a specified set of initial conditions, establishing the mathematical soundness and epidemiological relevance of the model. The basic reproduction number (R_0) is determined through the next-generation matrix method. Stability analysis reveals that the disease-free equilibrium is globally asymptotically stable when (R_0) is less than one, while it becomes unstable if (R_0) exceeds one. Global stability of the endemic equilibrium is established using an appropriate quadratic Lyapunov function in cases where (R_0) surpasses one. We identify the most sensitive parameters of the model through normalized forward sensitivity indices. In addition, numerical simulations employing the Runge–Kutta method in Python software further validate our findings. Both analytical and numerical results collectively suggest that the integration of awareness-based insecticide usage with malaria treatment holds the potential for malaria elimination. This comprehensive approach not only contributes to the mathematical rigor of the model but also underscores its practical implications for effective malaria control strategies.","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"23 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141523214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A systematic construction approach for all $$4times 4$$ involutory MDS matrices 所有 $$4times 4$$ 非重叠 MDS 矩阵的系统构建方法

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-06-14 DOI: 10.1007/s12190-024-02142-z

Yogesh Kumar, P. R. Mishra, Susanta Samanta, Atul Gaur

{"title":"A systematic construction approach for all $$4times 4$$ involutory MDS matrices","authors":"Yogesh Kumar, P. R. Mishra, Susanta Samanta, Atul Gaur","doi":"10.1007/s12190-024-02142-z","DOIUrl":"https://doi.org/10.1007/s12190-024-02142-z","url":null,"abstract":"Maximum distance separable (MDS) matrices play a crucial role not only in coding theory but also in the design of block ciphers and hash functions. Of particular interest are involutory MDS matrices, which facilitate the use of a single circuit for both encryption and decryption in hardware implementations. In this article, we present several characterizations of involutory MDS matrices of even order. Additionally, we introduce a new matrix form for obtaining all involutory MDS matrices of even order and compare it with other matrix forms available in the literature. We then propose a technique to systematically construct all (4 times 4) involutory MDS matrices over a finite field (mathbb {F}_{2^m}). This method significantly reduces the search space by focusing on involutory MDS class representative matrices, leading to the generation of all such matrices within a substantially smaller set compared to considering all (4 times 4) involutory matrices. Specifically, our approach involves searching for these representative matrices within a set of cardinality ((2^m-1)^5). Through this method, we provide an explicit enumeration of the total number of (4 times 4) involutory MDS matrices over (mathbb {F}_{2^m}) for (m=3,4,ldots ,8).","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"28 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141523213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Common due window assignment and single machine scheduling with delivery time, resource allocation, and job-dependent learning effect 具有交付时间、资源分配和作业学习效应的普通到期窗口分配和单机调度

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-06-04 DOI: 10.1007/s12190-024-02090-8

Jin Qian, Zhiyuan Guo

引用次数: 0

Learning unbounded-domain spatiotemporal differential equations using adaptive spectral methods 利用自适应谱法学习无界域时空微分方程

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-06-03 DOI: 10.1007/s12190-024-02131-2

Mingtao Xia, Xiangting Li, Qijing Shen, Tom Chou

{"title":"Learning unbounded-domain spatiotemporal differential equations using adaptive spectral methods","authors":"Mingtao Xia, Xiangting Li, Qijing Shen, Tom Chou","doi":"10.1007/s12190-024-02131-2","DOIUrl":"https://doi.org/10.1007/s12190-024-02131-2","url":null,"abstract":"Rapidly developing machine learning methods have stimulated research interest in computationally reconstructing differential equations (DEs) from observational data, providing insight into the underlying mechanistic models. In this paper, we propose a new neural-ODE-based method that spectrally expands the spatial dependence of solutions to learn the spatiotemporal DEs they obey. Our spectral spatiotemporal DE learning method has the advantage of not explicitly relying on spatial discretization (e.g., meshes or grids), thus allowing reconstruction of DEs that may be defined on unbounded spatial domains and that may contain long-ranged, nonlocal spatial interactions. By combining spectral methods with the neural ODE framework, our proposed spectral DE method addresses the inverse-type problem of reconstructing spatiotemporal equations in unbounded domains. Even for bounded domain problems, our spectral approach is as accurate as some of the latest machine learning approaches for learning or numerically solving partial differential equations (PDEs). By developing a spectral framework for reconstructing both PDEs and partial integro-differential equations (PIDEs), we extend dynamical reconstruction approaches to a wider range of problems, including those in unbounded domains.","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"9 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141255435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Computational and analytical analysis of integral-differential equations for modeling avoidance learning behavior 用于模拟回避学习行为的积分微分方程的计算和分析

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-06-03 DOI: 10.1007/s12190-024-02130-3

Ali Turab, Andrés Montoyo, Josué-Antonio Nescolarde-Selva

{"title":"Computational and analytical analysis of integral-differential equations for modeling avoidance learning behavior","authors":"Ali Turab, Andrés Montoyo, Josué-Antonio Nescolarde-Selva","doi":"10.1007/s12190-024-02130-3","DOIUrl":"https://doi.org/10.1007/s12190-024-02130-3","url":null,"abstract":"This work emphasizes the computational and analytical analysis of integral-differential equations, with a particular application in modeling avoidance learning processes. Firstly, we suggest an approach to determine a unique solution to the given model by employing methods from functional analysis and fixed-point theory. We obtain numerical solutions using the approach of Picard iteration and evaluate their stability in the context of minor perturbations. In addition, we explore the practical application of these techniques by providing two examples that highlight the thorough analysis of behavioral responses using numerical approximations. In the end, we examine the efficacy of our suggested ordinary differential equations (ODEs) for studying the avoidance learning behavior of animals. Furthermore, we investigate the convergence and error analysis of the proposed ODEs using multiple numerical techniques. This integration of theoretical and practical analysis enhances the domain of applied mathematics by providing important insights for behavioral science research.","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"22 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141255570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Novel resolvability parameter of some well-known graphs and exchange properties with applications 一些著名图形的新可解析参数及交换特性的应用

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-05-30 DOI: 10.1007/s12190-024-02137-w

Sikander Ali, Muhammad Azeem, Manzoor Ahmad Zahid, Muhammad Usman, Madhumangal Pal

{"title":"Novel resolvability parameter of some well-known graphs and exchange properties with applications","authors":"Sikander Ali, Muhammad Azeem, Manzoor Ahmad Zahid, Muhammad Usman, Madhumangal Pal","doi":"10.1007/s12190-024-02137-w","DOIUrl":"https://doi.org/10.1007/s12190-024-02137-w","url":null,"abstract":"The resolvability parameter is an essential component, especially in the context of network research, due to its theoretical and practical significance. Its importance is evident in several applications and outcomes, including social network analysis, network security, facility location and site selection, and effective routing. We introduce a novel resolvability parameter, Fault-Tolerant Mixed Metric Dimension, in this paper, and this defined as let (R_{m,f}) be a set that nodes on a graph as both an edge-resolving set and a resolving set. If (R_{m,f}) can uniquely represent the graph’s edges and vertices, then it is referred to as a mixed resolving set, and its all subsets cardinality is called the mixed metric dimension. If all of the graph’s vertices and edges are uniquely represented by (R_{m,f}^{prime },) and all subsets of (R_{m,f}^{prime }) with of cardinality one less than (R_{m,f}) likewise have unique representations for all of the graph’s vertices and edges, then (R_{m,f}) is referred to as a Fault-Tolerant Mixed Resolving Set, and If two such sets (R_{m,f}^{1}) and (R_{m,f}^{2}) exist such that (R_{m,f}^{1}cap R_{m,f}^{2}ne 0) then we say that the graph has exchange property. (R_{m,f})’s minimum cardinality is known as its fault-tolerant mixed Metric Dimension. These definitions offer a means of measuring a collection of vertices’ capacity to represent graph structures uniquely, taking fault-tolerant and resolution into account. Furthermore, a problem related to the lab’s system network is also discussed and linked with this topic in this work. Like a lab engineer is embarking on the creation of a new circular lab, intending to establish where and how many devices within it to supply internet with wire to all systems. A solution to this problem is proving this novel topic authenticity.","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"55 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141191394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fixed/preassigned-time synchronization of fuzzy inertial neural netwroks via event-triggered controller 通过事件触发控制器实现模糊惯性神经网络的固定/预分配时间同步化

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-05-29 DOI: 10.1007/s12190-024-02136-x

Tianqi Wang, Junhao Hu, Yan Li, Guodong Zhang

引用次数: 0

An efficient iterative procedure in hyperbolic space and application to non-linear delay integral equation 双曲空间中的高效迭代程序及其在非线性延迟积分方程中的应用

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-05-27 DOI: 10.1007/s12190-024-02134-z

Khairul Habib Alam, Yumnam Rohen

{"title":"An efficient iterative procedure in hyperbolic space and application to non-linear delay integral equation","authors":"Khairul Habib Alam, Yumnam Rohen","doi":"10.1007/s12190-024-02134-z","DOIUrl":"https://doi.org/10.1007/s12190-024-02134-z","url":null,"abstract":"In the context of hyperbolic spaces, our study presents a novel iterative approach for approximating common fixed points satisfying general contractive condition involving a pair of mappings with weak compatibility. Also, we notice that our iterative procedure approximates to a point of coincidence if the weak compatibility condition is violated. We provide theorems to demonstrate the (Delta -)convergence, stability, and efficiency of this iteration process. Additionally, we provided some immediate corollaries that involve mappings with contractive condition, instead of general contractive condition. Furthermore, we demonstrate with examples and graphs that our iteration process is faster than all previous procedures, including those of Jungck-SP, Jungck-CR, and Jungck-DK, utilizing MATLAB software. Also, we compare the impact of the initial values and the parameters on the convergence behavior of the proposed iterative process with existing iterative schemes using an example. Finally, we focus on using our iterative technique to approximate the solution of a non-linear integral equation with two delays.","PeriodicalId":15034,"journal":{"name":"Journal of Applied Mathematics and Computing","volume":"96 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141171204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An inertial Dai-Liao conjugate method for convex constrained monotone equations that avoids the direction of maximum magnification 避开最大放大方向的凸约束单调方程的惯性戴廖共轭法

IF 2.2 3区数学

Journal of Applied Mathematics and Computing Pub Date : 2024-05-27 DOI: 10.1007/s12190-024-02123-2

Jamilu Sabi’u, Sekson Sirisubtawee

引用次数: 0