Mathematics and Computers in Simulation最新文献_第7页

Multi-parameter bifurcations in a discrete Ricker-type predator–prey model with prey immigration

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-30 DOI: 10.1016/j.matcom.2025.01.020

Karima Mokni, Hajar Mouhsine, Mohamed Ch-Chaoui

引用次数: 0

Stability analysis and optimal control of tumour-immune interaction problem using fractional order derivative

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-30 DOI: 10.1016/j.matcom.2024.12.028

Tarekegn Dinku , Boka Kumsa , Jyotirmoy Rana , Aiyappan Srinivasan

{"title":"Stability analysis and optimal control of tumour-immune interaction problem using fractional order derivative","authors":"Tarekegn Dinku , Boka Kumsa , Jyotirmoy Rana , Aiyappan Srinivasan","doi":"10.1016/j.matcom.2024.12.028","DOIUrl":"10.1016/j.matcom.2024.12.028","url":null,"abstract":"<div><div>In this study, we propose a tumour-immune interaction model using Caputo–Fabrizio fractional order derivative. The conditions for the well-posedness of the solution are examined. The stability of the endemic equilibrium point is derived and its stability is proved using Routh–Hurwitz criteria. The solution is approximated using a shifted Legendre polynomial at Gauss–Legendre collocation points, which is compared with the numerical results of the Adams–Bashforth scheme in the interval <span><math><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></math></span>. We have also proposed a fractional optimal control problem and proved the necessary optimality conditions. The optimal system is solved using the forward–backward sweep method (FBSM) with the Adams–Bashforth predictor–corrector numerical method. We have demonstrated that the antigenicity of tumours plays a crucial role in activating immune cells, suggesting that enhancing tumour antigenicity could improve immunotherapeutic outcomes. The effects of fractional-order derivatives and the proliferation rate of the Michaelis–Menten term are observed. Moreover, the impact of other model parameters on the system is highlighted through numerical results. Finally, the reduction in tumour cells and the increase of active immune cells are demonstrated in the presence of optimal control.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 187-207"},"PeriodicalIF":4.4,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143226660","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

Influence of price elasticity of demand on monopoly games under different returns to scale

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-28 DOI: 10.1016/j.matcom.2025.01.017

Xiaoliang Li , Jing Yang , Ally Quan Zhang

引用次数: 0

News of IMACS

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-28 DOI: 10.1016/S0378-4754(25)00027-8

引用次数: 0

IMACS Calendar of Events

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-28 DOI: 10.1016/S0378-4754(25)00028-X

引用次数: 0

Asymptotic expansions beyond the tQSSA for the double phosphorylation mechanism

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-27 DOI: 10.1016/j.matcom.2025.01.019

Alberto M. Bersani , Alessandro Borri , Giovanna Tomassetti , Pierluigi Vellucci

引用次数: 0

A nonconservative macroscopic traffic flow model in a two-dimensional urban-porous city

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-25 DOI: 10.1016/j.matcom.2025.01.016

Néstor García-Chan , Lino J. Alvarez-Vázquez , Aurea Martínez , Miguel E. Vázquez-Méndez

{"title":"A nonconservative macroscopic traffic flow model in a two-dimensional urban-porous city","authors":"Néstor García-Chan , Lino J. Alvarez-Vázquez , Aurea Martínez , Miguel E. Vázquez-Méndez","doi":"10.1016/j.matcom.2025.01.016","DOIUrl":"10.1016/j.matcom.2025.01.016","url":null,"abstract":"<div><div>In this paper we propose a novel traffic flow model based on understanding the city as a porous media, this is, streets and building-blocks characterizing the urban landscape are seen now as the fluid-phase and the solid-phase of a porous media, respectively. Moreover, based in the interchange of mass in the porous media models, we can model the interchange of cars between streets and off-street parking-spaces. Therefore, our model is not a standard conservation law, being formulated as the coupling of a non-stationary convection–diffusion–reaction PDE with a Darcy–Brinkman–Forchheimer PDE system. To solve this model, the classical Galerkin <span><math><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> finite element method combined with an explicit time marching scheme of strong stability preserving type was enough to stabilize our numerical solutions. Numerical experiences on an urban-porous domain inspired by the city of Guadalajara (Mexico) allow us to simulate the influence of the porosity terms on the traffic speed, the traffic flow at rush-valley hours, and traffic congestion due to the lack of parking spaces.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 60-74"},"PeriodicalIF":4.4,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143226664","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

Globally exponentially convergent observer for systems evolving on matrix Lie groups

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-23 DOI: 10.1016/j.matcom.2025.01.013

Soham Shanbhag, Dong Eui Chang

引用次数: 0

Uncertain stochastic linear quadratic control subject to forward and backward multi-stage systems

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-20 DOI: 10.1016/j.matcom.2025.01.015

Xin Chen, Zeyu Zhang, Peiqi Huang

引用次数: 0

Quenching phenomenon in the Caputo–Hadamard time-fractional Kawarada problem: Analysis and computation