Mathematics and Computers in Simulation最新文献_第9页

Three-dimensional D3Q27 multiple-relaxation-time lattice Boltzmann simulation of Herschel–Bulkley viscoelastic fluids in a cubic cavity with top lid driven diagonally 三维D3Q27多重弛豫时间晶格Boltzmann模拟顶盖对角驱动的立方腔中Herschel-Bulkley粘弹性流体

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-21 DOI: 10.1016/j.matcom.2025.03.015

Md. Mamun Molla, Md. Mahadul Islam

{"title":"Three-dimensional D3Q27 multiple-relaxation-time lattice Boltzmann simulation of Herschel–Bulkley viscoelastic fluids in a cubic cavity with top lid driven diagonally","authors":"Md. Mamun Molla, Md. Mahadul Islam","doi":"10.1016/j.matcom.2025.03.015","DOIUrl":"10.1016/j.matcom.2025.03.015","url":null,"abstract":"<div><div>Graphics Processing Unit (GPU) accelerated multiple-relaxation-time (MRT) lattice Boltzmann method (LBM) is used for the simulation of Herschel–Bulkley non-Newtonian fluids in a three-dimensional (3D) cubic cavity with the top lid-driven diagonally. For the 3D simulation, a D3Q27 lattices model, which is more stable and well-accepted in the LBM community, is used in the present MRT-LBM. Simulations using numerical models are run for a variety of dimensionless variables, including the Reynolds numbers (<span><math><mrow><mi>R</mi><mi>e</mi><mo>=</mo><mn>300</mn><mo>,</mo><mn>600</mn><mo>,</mo><mn>1000</mn><mo>,</mo><mn>1200</mn></mrow></math></span>), Bingham number (<span><math><mrow><mi>B</mi><mi>n</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>0</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>.</mo><mn>0</mn></mrow></math></span>), Power-law index, (<span><math><mrow><mi>n</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>8</mn></mrow></math></span>). In the present numerical simulation, the GPU has used a parallel computing technique based on the Compute Unified Device Architecture (CUDA) C++ programming. MRT-LBM code is validated for the Newtonian and non-Newtonian power law fluid with a lid-driven cubic cavity. The numerical results obtained regarding the streamlines, velocity, viscosity distributions, and the iso-surfaces of the non-Newtonian viscosity are presented. The current numerical findings could potentially function as benchmark results for validating 3D codes validation for the non-Newtonian fluids.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 419-437"},"PeriodicalIF":4.4,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685635","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

Dynamical behavior and bifurcation analysis for a theoretical model of dengue fever transmission with incubation period and delayed recovery 具有潜伏期和延迟恢复的登革热传播理论模型的动力学行为和分岔分析

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.matcom.2025.03.008

Burcu Gürbüz , Aytül Gökçe , Segun I. Oke , Michael O. Adeniyi , Mayowa M. Ojo

{"title":"Dynamical behavior and bifurcation analysis for a theoretical model of dengue fever transmission with incubation period and delayed recovery","authors":"Burcu Gürbüz , Aytül Gökçe , Segun I. Oke , Michael O. Adeniyi , Mayowa M. Ojo","doi":"10.1016/j.matcom.2025.03.008","DOIUrl":"10.1016/j.matcom.2025.03.008","url":null,"abstract":"<div><div>As offered by the World Health Organisation (WHO), close to half of the population in the world’s resides in dengue-risk zones. Dengue viruses are transmitted to individuals by Aedes mosquito species infected bite (Ae. Albopictus of Ae. aegypti). These mosquitoes can transmit other viruses, including Zika and Chikungunya. In this research, a mathematical model is formulated to reflect different time delays considered in both extrinsic and intrinsic incubation periods, as well as in the recovery periods of infectious individuals. Preliminary results for the non-delayed model including positivity and boundedness of solutions, non-dimensionalization and equalibria analysis are presented. The threshold parameter (reproduction number) of the model is obtained via next generation matrix schemes. The stability analysis of the model revealed that various dynamical behavior can be observed depending on delay parameters, where in particular the effect of delay in the recovery time of infectious individuals may lead to substantial changes in the dynamics. The ideas presented in this paper can be applied to other infectious diseases, providing qualitative evaluations for understanding time delays influencing the transmission dynamics.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 497-513"},"PeriodicalIF":4.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143739609","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

Global dynamics of a chemotaxis system with toxicity in invasive species 入侵物种毒性趋化系统的全局动力学

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-19 DOI: 10.1016/j.matcom.2025.03.009

Xiaoyue Yuan , Xuebing Zhang , Wenjun Liu , Ali Moussaoui , Pierre Auger

{"title":"Global dynamics of a chemotaxis system with toxicity in invasive species","authors":"Xiaoyue Yuan , Xuebing Zhang , Wenjun Liu , Ali Moussaoui , Pierre Auger","doi":"10.1016/j.matcom.2025.03.009","DOIUrl":"10.1016/j.matcom.2025.03.009","url":null,"abstract":"<div><div>Invasive species threaten the integrity of ecosystems by altering the structure and function of natural systems. It is crucial to predict the mode of biological invasion and control intruders. In this paper, we establish a diffusion biological invasion model with toxicant-taxis and conduct research through theoretical analysis and numerical simulation methods. We investigate the local stability of the system and find that it undergoes saddle–node bifurcation and transcritical bifurcation. We further prove the boundedness and global existence of the classical solutions of the system. By constructing appropriate Lyapunov functionals, the global stability of the positive steady state is analyzed, and the decay rate of the solution is provided. In addition, to investigate the effects of toxins and competition intensity on the survival of invasive species, we demonstrate the existence conditions of steady-state solutions through numerical simulations. By comparison, it is found that invasive species can only survive in new environments if they possess at least one advantage.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"235 ","pages":"Pages 16-36"},"PeriodicalIF":4.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143734913","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

Nonsingularity of unsymmetric Kansa matrices: Random collocation by MultiQuadrics and Inverse MultiQuadrics 非对称Kansa矩阵的非奇异性：多重二次曲面与逆多重二次曲面的随机搭配

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-19 DOI: 10.1016/j.matcom.2025.03.005

R. Cavoretto , A. De Rossi , F. Dell’Accio , A. Sommariva , M. Vianello

引用次数: 0

A family of C1 Clough–Tocher spline spaces on C0 piecewise quadratic domain partitions C0分段二次域分区上的C1个Clough-Tocher样条空间族

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-19 DOI: 10.1016/j.matcom.2025.03.006

Jan Grošelj, Marjeta Knez

引用次数: 0

Stability and bifurcation analysis of a time-order fractional model for water-plants: Implications for vegetation pattern formation 水生植物时序分数模型的稳定性和分岔分析：植被模式形成的影响

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-17 DOI: 10.1016/j.matcom.2025.03.007

Shanwei Li, Yimamu Maimaiti

{"title":"Stability and bifurcation analysis of a time-order fractional model for water-plants: Implications for vegetation pattern formation","authors":"Shanwei Li, Yimamu Maimaiti","doi":"10.1016/j.matcom.2025.03.007","DOIUrl":"10.1016/j.matcom.2025.03.007","url":null,"abstract":"<div><div>The water-plant model is a significant tool for studying vegetation patterns. It helps researchers understand the interactions between water availability and plant growth, which are crucial for analyzing ecological dynamics and predicting changes in vegetation due to environmental factors. However, there has been limited research on the memory effect associated with the water-plant model. This paper investigates a fractional-order water-plant model with cross-diffusion, in which the fractional order signifies the memory effect. First, we examine the conditions for the equilibrium point in a spatially homogeneous model, followed by an analysis of the model’s linear stability and the existence of Hopf bifurcation. Subsequently, we analyze the stability of spatiotemporal models incorporating cross-diffusion, along with the presence of Turing bifurcation, Hopf bifurcation, and Turing–Hopf bifurcation. Finally, we present several numerical simulations to validate the theoretical results. The results indicate that the Hopf bifurcation parameters increase with the fractional order <span><math><mi>τ</mi></math></span>, leading to a larger parameter space for Hopf instability. As the fractional order <span><math><mi>τ</mi></math></span> increases, it results in a smaller parameter space for Turing instability and a reduced parameter space for stability. This indicates that an increase in the fractional order <span><math><mi>τ</mi></math></span> accelerates the transition of vegetation patterns, thereby affecting the stability of the system.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 342-358"},"PeriodicalIF":4.4,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143654553","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

An asymptotic approximation of the solution for nearly tridiagonal quasi-Toeplitz linear systems 近三对角拟toeplitz线性系统解的渐近逼近

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-13 DOI: 10.1016/j.matcom.2025.02.024

Philsu Kim , Sangbeom Park , Seonghak Kim, Soyoon Bak

引用次数: 0

Estimating the region of attraction on fractional-order complex networks with time-varying delay 时变时滞分数阶复杂网络的吸引域估计

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-12 DOI: 10.1016/j.matcom.2025.02.030

Feifei Du , Jun-Guo Lu , Qing-Hao Zhang

引用次数: 0

Dynamical analysis and optimal control strategy of seasonal brucellosis 季节性布鲁氏菌病的动态分析及最优控制策略

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-12 DOI: 10.1016/j.matcom.2025.03.003

Huidi Chu , Xinmiao Rong , Liu Yang , Meng Fan

{"title":"Dynamical analysis and optimal control strategy of seasonal brucellosis","authors":"Huidi Chu , Xinmiao Rong , Liu Yang , Meng Fan","doi":"10.1016/j.matcom.2025.03.003","DOIUrl":"10.1016/j.matcom.2025.03.003","url":null,"abstract":"<div><div>Brucellosis exhibits typical seasonal patterns and shows a notable rising trend in recent years, posing a serious threat to public health and economic development. Experimental research indicates that increased tick activity may elevate brucellosis transmission risk although the quantitative impact of ticks remains insufficiently explored. To investigate the seasonal transmission mechanisms of Brucella, identify the key factors, and assess ticks’ potential role, a multi-population non-autonomous periodic dynamical model is developed. The global dynamics of the model such as extinction, uniform persistence, disease-free periodic solution, and endemic periodic solution are well explored in terms of the basic reproduction number. Theoretical and numerical analyses demonstrate that, while tick control helps mitigate transmission risks, it is insufficient to eliminate periodic transmission. Effective control of brucellosis requires a comprehensive approach, especially culling infected sheep and improving vaccination coverage to curb the overall rising trend. Additionally, adjusting sheep reproductive schedules within the sheep’s life cycle, such as delaying the peak time of birth and advancing the peak time of abortion, is crucial for managing seasonal transmission. Numerical simulations of the optimal control strategies reveal that adjusting interventions based on seasonal fluctuations in infections balances the cost and effectiveness while highlighting the importance of effective tick control.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 299-324"},"PeriodicalIF":4.4,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143628609","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

Motion interpolation with Euler–Rodrigues frames on extremal Pythagorean-hodograph curves 极值毕达哥拉斯曲线上欧拉-罗德里格斯帧的运动插值

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-03-11 DOI: 10.1016/j.matcom.2025.02.029

Chang Yong Han , Song-Hwa Kwon

引用次数: 0