Mathematics and Computers in Simulation最新文献_第4页

Anisotropic error analysis of weak Galerkin finite element method for singularly perturbed biharmonic problems 奇异扰动双谐问题弱 Galerkin 有限元方法的各向异性误差分析

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-10-05 DOI: 10.1016/j.matcom.2024.09.017

Aayushman Raina , Srinivasan Natesan , Şuayip Toprakseven

引用次数: 0

Dynamic analysis of Hashimoto’s Thyroiditis bio-mathematical model using artificial neural network 利用人工神经网络对桥本氏甲状腺炎生物数学模型进行动态分析

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-10-05 DOI: 10.1016/j.matcom.2024.10.001

Rakesh Kumar , Sudarshan Dhua

{"title":"Dynamic analysis of Hashimoto’s Thyroiditis bio-mathematical model using artificial neural network","authors":"Rakesh Kumar , Sudarshan Dhua","doi":"10.1016/j.matcom.2024.10.001","DOIUrl":"10.1016/j.matcom.2024.10.001","url":null,"abstract":"<div><div>This article establishes an efficient solution scheme for a mathematical model of Hashimoto’s Thyroiditis (HT) employing artificial neural networks. HT is an auto-immune disorder hostile to the thyroid follicle cells, effectuating hypothyroid or hyperthyroidism. Under this condition, the thyroid-stimulating hormone (TSH) alters incomparably to the free thyroxine (FT4) interrupts the functioning of the hypothalamus-pituitary-thyroid (HPT) axis, implicating the thyroid follicle cells getting destroyed. We primarily focus on utilizing artificial neural network (ANN) to perform numerical simulations for the system of ordinary differential equations describing the dynamics of an existing 4D model of HT. The presented model comprises four time-dependent variables: TSH, FT4, anti-thyroid antibodies (Ab), and size of the thyroid gland (T). We utilize ND-Solver and ANN scheme in the Mathematica software to acquire the computational data and illustrate thus retrieved results with essential performance plots. Further, mean square error has been considered in validating the proposed ANN-based approach accurately. The plot for training and validation loss exhibits the effectiveness of the proposed methodology, and substantiate that the suggested ANN approach is a good fit for the solving the mathematical model of HT.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142418189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Stochastic SIR epidemic model dynamics on scale-free networks 无标度网络上的随机 SIR 流行病模型动力学

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-10-04 DOI: 10.1016/j.matcom.2024.09.027

A. Settati , T. Caraballo , A. Lahrouz , I. Bouzalmat , A. Assadouq

{"title":"Stochastic SIR epidemic model dynamics on scale-free networks","authors":"A. Settati , T. Caraballo , A. Lahrouz , I. Bouzalmat , A. Assadouq","doi":"10.1016/j.matcom.2024.09.027","DOIUrl":"10.1016/j.matcom.2024.09.027","url":null,"abstract":"<div><div>This study introduces a stochastic SIR (Susceptible–Infectious–Recovered) model on complex networks, utilizing a scale-free network to represent inter-human contacts. The model incorporates a threshold parameter, denoted as <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>σ</mi></mrow></msub></math></span>, which plays a decisive role in determining whether the disease will persist or become extinct. When <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>σ</mi></mrow></msub><mo><</mo><mn>1</mn></mrow></math></span>, the disease exhibits exponential decay and eventually disappear. Conversely, when <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>σ</mi></mrow></msub><mo>></mo><mn>1</mn></mrow></math></span>, the disease persists. The critical case of <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>σ</mi></mrow></msub><mo>=</mo><mn>1</mn></mrow></math></span> is also examined. Furthermore, we establish a unique stationary distribution for <span><math><mrow><msub><mrow><mi>R</mi></mrow><mrow><mi>σ</mi></mrow></msub><mo>></mo><mn>1</mn></mrow></math></span>. Our findings highlight the significance of network topology in modeling disease spread, emphasizing the role of social networks in epidemiology. Additionally, we present computational simulations that consider the scale-free network’s topology, offering comprehensive insights into the behavior of the stochastic SIR model on complex networks. These results have substantial implications for public health policy, disease control strategies, and epidemic modeling in diverse contexts.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142418190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analytical computation of conditional moments in the extended Cox–Ingersoll–Ross process with regime switching: Hybrid PDE system solutions with financial applications 具有制度转换的扩展 Cox-Ingersoll-Ross 过程中条件矩的分析计算：具有金融应用价值的混合 PDE 系统解决方案

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-10-01 DOI: 10.1016/j.matcom.2024.09.032

Sanae Rujivan , Nopporn Thamrongrat , Parun Juntanon , Boualem Djehiche

{"title":"Analytical computation of conditional moments in the extended Cox–Ingersoll–Ross process with regime switching: Hybrid PDE system solutions with financial applications","authors":"Sanae Rujivan , Nopporn Thamrongrat , Parun Juntanon , Boualem Djehiche","doi":"10.1016/j.matcom.2024.09.032","DOIUrl":"10.1016/j.matcom.2024.09.032","url":null,"abstract":"<div><div>In this paper, we introduce a novel analytical approach for the computation of the <span><math><mi>n</mi></math></span>th conditional moments of an <span><math><mi>m</mi></math></span>-state regime-switching extended Cox–Ingersoll–Ross process driven by a continuous-time finite-state irreducible Markov chain. This approach is applicable for all integers <span><math><mrow><mi>n</mi><mo>≥</mo><mn>1</mn></mrow></math></span> and <span><math><mrow><mi>m</mi><mo>≥</mo><mn>1</mn></mrow></math></span>, thereby ensuring wide-ranging utility. The key of our investigation is a complex hybrid system of inter-connected PDEs, derived through a utilization of the Feynman–Kac formula for regime-switching diffusion processes. Our exploration into the solutions of this hybrid PDE system culminates in the derivation of exact closed-form formulas for the conditional moments for diverse values of <span><math><mi>n</mi></math></span> and <span><math><mi>m</mi></math></span>. Additionally, we study the asymptotic characteristics of the first conditional moments for the 2-state regime-switching Cox–Ingersoll–Ross process, particularly focusing on the effects of the symmetry inherent in the Markov chain’s intensity matrix and the implications of various parameter configurations. Highlighting the practicality of our methodology, we conduct Monte Carlo simulations to not only corroborate the accuracy and computational efficacy of our proposed approach but also to demonstrate its applicability to real-world applications in financial markets. A principal application highlighted in our study is the valuation of VIX futures and VIX options within a dynamic, mean-reverting, hybrid regime-switching framework. This exemplifies the potential of our analytical method to significantly impact contemporary financial modeling and derivative pricing.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142418187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Analysis and simulation on dynamics of a pest-natural enemy model with additional food, pest-taxis and degeneracy 虫害-天敌模型的动态分析与模拟（含额外食物、虫害-税收和退化性

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-10-01 DOI: 10.1016/j.matcom.2024.09.033

Jingjing Wang , Yunfeng Jia , Majun Shi

{"title":"Analysis and simulation on dynamics of a pest-natural enemy model with additional food, pest-taxis and degeneracy","authors":"Jingjing Wang , Yunfeng Jia , Majun Shi","doi":"10.1016/j.matcom.2024.09.033","DOIUrl":"10.1016/j.matcom.2024.09.033","url":null,"abstract":"<div><div>In this paper, we consider a pest-natural enemy model with additional food, pest-taxis and degeneracy. Firstly, in view of the regularity theory of elliptic equations and maximum principle, the asymptotic behaviors of positive solutions are investigated. We verify that when the maximum number of natural enemies that a unit volume can accommodate (caused by pest-taxis) is sufficiently large, or the quality or quantity of additional food is very poor or large, respectively, the model admits pest-free solution. Then, based on the bifurcation theory and stability theory, the existence and stability of bifurcation solutions are discussed. We obtain that the combination of additional food, pest-taxis and degeneracy can induce model to produce new positive solutions. Finally, we depict the control regions of pests by the bifurcation results. From a biological point of view, these results show that the combined introduction of additional food, pest-taxis and degeneracy not only induces model to generate new dynamics, but also has significant implications in controlling and eliminating pests.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142441921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Modelling the prudent predation in predator–prey interactions 建立捕食者-猎物相互作用中谨慎捕食的模型

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-09-30 DOI: 10.1016/j.matcom.2024.09.031

Jiang Li , Xianning Liu , Yangjiang Wei

引用次数: 0

A Hermite spline model for data regression 用于数据回归的赫米特样条模型

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-09-30 DOI: 10.1016/j.matcom.2024.09.011

Rosanna Campagna , Mariantonia Cotronei , Domenico Fazzino

引用次数: 0

A numerical study of vortex nucleation in 2D rotating Bose–Einstein condensates 二维旋转玻色-爱因斯坦凝聚体中涡核的数值研究

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-09-30 DOI: 10.1016/j.matcom.2024.09.029

Guillaume Dujardin , Ingrid Lacroix-Violet , Anthony Nahas

{"title":"A numerical study of vortex nucleation in 2D rotating Bose–Einstein condensates","authors":"Guillaume Dujardin , Ingrid Lacroix-Violet , Anthony Nahas","doi":"10.1016/j.matcom.2024.09.029","DOIUrl":"10.1016/j.matcom.2024.09.029","url":null,"abstract":"<div><div>This article implements a numerical method for the minimization under constraints of a discrete energy modelling multicomponents rotating Bose–Einstein condensates in the regime of strong confinement and with rotation. Moreover, this method allows to consider both segregation and coexistence regimes between the components. The method includes a discretization of a continuous energy in space dimension 2 and a gradient algorithm with adaptive time step and projection for the minimization. It is well known that, depending on the regime, the minimizers may display different structures, sometimes with vorticity (from singly quantized vortices, to vortex sheets and giant holes). The goal of this paper is to study numerically the structures of the minimizers. In order to do so, we introduce a numerical algorithm for the computation of the indices of the vortices, as well as an algorithm for the computation of the indices of vortex sheets. Several computations are carried out, to illustrate the efficiency of the method, to cover different physical cases, to validate recent theoretical results as well as to support conjectures. Moreover, we compare this method with an alternative method from the literature.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Efficient approximation of global population dynamic models through statistical inference using local data 通过使用本地数据进行统计推断，高效逼近全球人口动态模型

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-09-28 DOI: 10.1016/j.matcom.2024.09.024

Md Aktar Ul Karim , Ruqaiya Altaf Shaikh , Amiya Ranjan Bhowmick

{"title":"Efficient approximation of global population dynamic models through statistical inference using local data","authors":"Md Aktar Ul Karim , Ruqaiya Altaf Shaikh , Amiya Ranjan Bhowmick","doi":"10.1016/j.matcom.2024.09.024","DOIUrl":"10.1016/j.matcom.2024.09.024","url":null,"abstract":"<div><div>Biological growth curves are pivotal in predicting natural growth across disciplines, typically analyzed using nonlinear least squares or maximum likelihood methods. Bhowmick et al. (2014) introduced the interval-specific rate of parameters (ISRP) for growth equations, improving the estimation of relative growth rate (RGR) and model selection accuracy. Despite its effectiveness, computing these model-specific RGR estimates involves complex calculations and lacks explicit expressions for many nonlinear models. Also, for highly nonlinear models and non-monotonic data where the parameters are non-linearly related, the computation of interval estimates is almost impossible and may suffer from significant approximation errors. So, the need for a more efficient computation method for ISRP remains a significant challenge in growth studies. In this article, we propose a computational approach to obtain interval estimates of parameters based on the maximum likelihood estimation method. The likelihood function is maximized using the data on smaller intervals. Our study underscores the importance of an efficient ISRP computation technique, providing a more stable, unbiased, and normally distributed estimator. The most important advantage is that it can be implemented using existing optimizers in software packages efficiently, therefore, giving more accessibility to the practitioners. Both simulation studies and real data analysis have been carried out to validate the proposed estimation process. Additionally, its applicability to non-monotonic growth profiles and its robustness in handling highly non-linear growth equations highlight its versatility. We also developed a web application GpEM-R which is freely available for researchers and practitioners to analyze growth data.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":null,"pages":null},"PeriodicalIF":4.4,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142418184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Sliding-mode surface-based fixed-time adaptive critic tracking control for zero-sum game of switched nonlinear systems 开关非线性系统零和博弈的基于滑模曲面的固定时间自适应批判跟踪控制

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-09-28 DOI: 10.1016/j.matcom.2024.09.025

Minggang Liu , Ning Xu , Ben Niu , Naif D. Alotaibi

引用次数: 0