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

A discrete fractional order cournot duopoly game model with relative profit delegation: Stability, bifurcation, chaos, 0-1 testing and control 具有相对利润委托的离散分数阶库诺二元垄断博弈模型：稳定性、分岔、混沌、0-1 检验和控制

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-12 DOI: 10.1016/j.cam.2024.116284

Senol Kartal

引用次数: 0

A penalty method for approximation of the stationary Stokes–Darcy problem 近似静止斯托克斯-达西问题的惩罚法

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-12 DOI: 10.1016/j.cam.2024.116272

Wei-Wei Han, Yao-Lin Jiang

引用次数: 0

Stability of open-loop Nash equilibria for n-person nonzero-sum bounded rationality generalized differential games n人非零和有界理性广义微分博弈开环纳什均衡的稳定性

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-11 DOI: 10.1016/j.cam.2024.116260

Zuopeng Hu, Yanlong Yang

{"title":"Stability of open-loop Nash equilibria for n-person nonzero-sum bounded rationality generalized differential games","authors":"Zuopeng Hu, Yanlong Yang","doi":"10.1016/j.cam.2024.116260","DOIUrl":"10.1016/j.cam.2024.116260","url":null,"abstract":"<div><p>The problem of determining the existence of Nash equilibria in <span><math><mi>n</mi></math></span>-person nonzero-sum generalized differential games is highly intricate and constrained by the advancement of partial differential equations theory. There is limited existing research literature on this subject. This paper presents an existence theorem for open-loop Nash equilibria employing the Fan-Glicksberg fixed point theorem. The <span><math><mi>n</mi></math></span>-person nonzero-sum bounded rationality generalized differential game model is formulated by introducing a bounded rationality function, and its structural stability and robustness are studied. The conclusions indicate that in the sense of Baire classification, most <span><math><mi>n</mi></math></span>-person nonzero-sum bounded rationality generalized differential games are structurally stable and robust in the set of <span><math><mi>ɛ</mi></math></span>-open-loop Nash equilibria, and we can approximate the equilibrium set obtained with full rationality generalized differential games by the <span><math><msup><mrow><mi>ɛ</mi></mrow><mrow><mi>k</mi></mrow></msup></math></span>-open-loop Nash equilibria set obtained with bounded rationality generalized differential games.</p></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142241452","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

Alpha-robust mean–variance reinsurance and investment strategies with transaction costs 有交易成本的阿尔法稳健均值方差再保险和投资策略

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-11 DOI: 10.1016/j.cam.2024.116257

Xingchun Peng, Yankai Wang

引用次数: 0

A refined first-order expansion formula in Rn: Application to interpolation and finite element error estimates Rn 中的精炼一阶扩展公式：应用于插值和有限元误差估计

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-10 DOI: 10.1016/j.cam.2024.116274

Joël Chaskalovic , Franck Assous

引用次数: 0

Positivity preserving and unconditionally stable numerical scheme for the three-dimensional modified Fisher–Kolmogorov–Petrovsky–Piskunov equation 三维修正 Fisher-Kolmogorov-Petrovsky-Piskunov 方程的正性保持和无条件稳定数值方案

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-10 DOI: 10.1016/j.cam.2024.116273

Seungyoon Kang, Soobin Kwak, Youngjin Hwang, Junseok Kim

引用次数: 0

A fractional derivative model of the dynamic of dengue transmission based on seasonal factors in Thailand 基于季节因素的泰国登革热传播动态分数导数模型

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-07 DOI: 10.1016/j.cam.2024.116256

Jiraporn Lamwong , Puntani Pongsumpun

{"title":"A fractional derivative model of the dynamic of dengue transmission based on seasonal factors in Thailand","authors":"Jiraporn Lamwong , Puntani Pongsumpun","doi":"10.1016/j.cam.2024.116256","DOIUrl":"10.1016/j.cam.2024.116256","url":null,"abstract":"<div><p>Climate variability affects the changes in controlling diseases transferred by insects. An increase in the population, the growth of communities, and a lack of public health infrastructure bring about the return of diseases of which insects are carriers, one of the illness issues. Therefore, the disease control is significant to help reduce the burden on the government and strengthen the country's public health structure. This research proposes a novel approach to modeling dengue fever dynamics, we employ a fractional derivative model with the Atangana–Baleanu–Caputo derivative, which offers a more accurate representation of real-world disease dynamics compared to traditional integer-order models. Basic qualifications are proposed. Equilibrium points and basic reproduction numbers are analyzed. The next-generation matrix method is used to identify the transmission. Besides, parameter sensitivity analysis is performed to learn about factors affecting input parameter values' effects on the basic reproduction number. It was found that the most common parameter affecting the transmission was the biting rate of mosquitoes was 1. In addition, the existence and uniqueness of the solution are examined using the Banach fixed point theorem. The Toufik–Atangana method is used for the numerical examination of a fractional version of the proposed model. We compared different values of fractional-order α=0.965, 0.975, 0.985, 0.995 and 1 it was found that when the order of derivatives decreases, the transmission shall decrease accordingly. This research provides valuable insights for developing effective control strategies to reduce the burden of dengue fever and strengthen public health systems.</p></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142229280","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

Revisiting the region determined by Spearman’s ρ and Spearman’s footrule ϕ 重新审视斯皮尔曼 ρ 和斯皮尔曼脚规 ϕ 所确定的区域

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-07 DOI: 10.1016/j.cam.2024.116259

Marco Tschimpke , Manuela Schreyer , Wolfgang Trutschnig

{"title":"Revisiting the region determined by Spearman’s ρ and Spearman’s footrule ϕ","authors":"Marco Tschimpke , Manuela Schreyer , Wolfgang Trutschnig","doi":"10.1016/j.cam.2024.116259","DOIUrl":"10.1016/j.cam.2024.116259","url":null,"abstract":"<div><p>Kokol and Stopar (2023) recently studied the exact region <span><math><msub><mrow><mi>Ω</mi></mrow><mrow><mi>ϕ</mi><mo>,</mo><mi>ρ</mi></mrow></msub></math></span> determined by Spearman’s footrule <span><math><mi>ϕ</mi></math></span> and Spearman’s <span><math><mi>ρ</mi></math></span> and derived a sharp lower, as well as a non-sharp upper bound for <span><math><mi>ρ</mi></math></span> given <span><math><mi>ϕ</mi></math></span>. Considering that the proofs for establishing these inequalities are novel and interesting, but technically quite involved we here provide alternative simpler proofs mainly building upon shuffles, symmetry, denseness and mass shifting. As a by-product of these proofs we derive several additional results on shuffle rearrangements and the interplay between diagonal copulas and shuffles which are of independent interest. Moreover we finally show that we can get closer to the (non-sharp) upper bound than established in the literature so far.</p></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0377042724005089/pdfft?md5=496684547289907e38a430b957fc4235&pid=1-s2.0-S0377042724005089-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142173520","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

The Peano–Sard theorem for fractional operators with Mittag-Leffler kernel and application in classical numerical approximation 带 Mittag-Leffler 核的分数算子的 Peano-Sard 定理及其在经典数值逼近中的应用

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-07 DOI: 10.1016/j.cam.2024.116262

Marc Jornet , Juan J. Nieto

引用次数: 0

Pricing exchange options under hybrid stochastic volatility and interest rate models 混合随机波动率和利率模型下的外汇期权定价

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-07 DOI: 10.1016/j.cam.2024.116261

Ke Zhou

引用次数: 0