IF 1.1 4区数学

Linear & Multilinear Algebra Pub Date : 2026-10-17 DOI: 10.1080/03081087.2026.2747248

Nan Wang,Guoxing Ji

引用次数: 0

Improved approximation algorithm for min-max correlation clustering problem with penalties 带惩罚的最小-最大相关聚类问题的改进逼近算法

IF 1 4区数学

Journal of Combinatorial Optimization Pub Date : 2026-10-17 DOI: 10.1007/s10878-026-01496-3

Yuebo Huang,Sai Ji,Xiaoyun Tian,Kun Zhou

引用次数: 0

A Transcritical Bifurcation at Infinity Governs Plaque Stability in a Lipid-Structured Macrophage Model of Atherosclerosis. 在脂质结构的动脉粥样硬化巨噬细胞模型中，无穷大的跨临界分叉控制斑块稳定性。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-10-17 DOI: 10.1007/s11538-026-01751-y

Emine Atıcı Endes, Neslihan Nesliye Pelen

{"title":"A Transcritical Bifurcation at Infinity Governs Plaque Stability in a Lipid-Structured Macrophage Model of Atherosclerosis.","authors":"Emine Atıcı Endes, Neslihan Nesliye Pelen","doi":"10.1007/s11538-026-01751-y","DOIUrl":"https://doi.org/10.1007/s11538-026-01751-y","url":null,"abstract":"Atherosclerotic plaques are fatty deposits in arterial walls and a major cause of heart attacks and strokes. Macrophage proliferation triggers plaque growth and instability, but the specific conditions that convert stable plaques into unstable ones remain unclear. To provide insight into the conditions for this transition, we apply bifurcation analysis to the lipid-structured atherosclerosis model proposed by Chambers et al. (Bull Math Biol 86(8):104, 2024). We demonstrate that, in the asymptotic regime where macrophage levels become large ( <math><mrow><mi>M</mi> <mo>→</mo> <mi>∞</mi></mrow> </math> ), the model exhibits an asymptotic fast-slow structure that does not hold outside this limit. Within this asymptotic regime, we reduce the full system onto a slow invariant manifold, providing a simplified yet accurate description of the dynamics near the critical proliferation-emigration threshold. We prove, via centre manifold theory, that the positive steady state loses stability through a transcritical bifurcation at infinity at the critical proliferation-emigration threshold <math> <mrow><msub><mi>ρ</mi> <mi>c</mi></msub> <mo>=</mo> <mn>1</mn> <mo>+</mo> <mi>γ</mi></mrow> </math> . The analysis reveals that the positive equilibrium branch approaches and exchanges stability with a boundary equilibrium at infinity, providing a rigorous dynamical explanation for the transition that was identified but left unexplored in the original study. Complementing this analytical contribution, we conduct a global sensitivity analysis using Partial Rank Correlation Coefficients (PRCC), identifying macrophage proliferation, emigration, and efferocytosis as the dominant regulators of plaque dynamics. Targeted parameter investigations near <math><msub><mi>ρ</mi> <mi>c</mi></msub> </math> reveal a regulatory decoupling between macrophage accumulation and necrotic core growth, providing new biological insight into the behaviour of the model near the critical proliferation-emigration threshold.","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"88 11","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149215049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Publisher Correction: Investigation of a Two-Patch Within-Host Model of Hepatitis B Viral Infection. 出版者更正：乙型肝炎病毒感染宿主内双补丁模型的研究。

IF 2.3 4区数学

Bulletin of Mathematical Biology Pub Date : 2026-10-17 DOI: 10.1007/s11538-026-01780-7

Keoni Castellano, Omar Saucedo, Stanca M Ciupe

引用次数: 0

Torsionless three-dimensional Heterotic solitons with harmonic curvature are rigid 具有谐波曲率的无扭转三维异质孤子是刚性的

IF 0.8 3区数学

Annals of Global Analysis and Geometry Pub Date : 2026-10-17 DOI: 10.1007/s10455-026-10065-0

Andrei Moroianu, Miguel Pino Carmona, C. S. Shahbazi

引用次数: 0

Optimality of Quasi-Monte Carlo Methods and Suboptimality of the Sparse-Grid Gauss–Hermite Rule in Gaussian Sobolev Spaces 高斯Sobolev空间中拟蒙特卡罗方法的最优性和稀疏网格高斯- hermite规则的次最优性

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2026-10-16 DOI: 10.1137/25m1794346

Yoshihito Kazashi, Yuya Suzuki, Takashi Goda

引用次数: 0

Minimum Randić index of molecular trees with a perfect matching 具有完美匹配的分子树的最小randiovic指数

IF 1 4区数学

Journal of Combinatorial Optimization Pub Date : 2026-10-16 DOI: 10.1007/s10878-026-01478-5

Jianwei Du,Xiaoling Sun

引用次数: 0

Finite Element Error Analysis for Elliptic Parameter Identification with Power-Type Nonlinearity 幂型非线性椭圆参数辨识的有限元误差分析

IF 2.9 2区数学

SIAM Journal on Numerical Analysis Pub Date : 2026-10-16 DOI: 10.1137/26m1842646

De-Han Chen, Yi-Hsuan Lin, Irwin Yousept

{"title":"Finite Element Error Analysis for Elliptic Parameter Identification with Power-Type Nonlinearity","authors":"De-Han Chen, Yi-Hsuan Lin, Irwin Yousept","doi":"10.1137/26m1842646","DOIUrl":"https://doi.org/10.1137/26m1842646","url":null,"abstract":"SIAM Journal on Numerical Analysis, Volume 64, Issue 5, Page 2151-2176, October 2026. Abstract. This paper studies the numerical analysis of a parameter identification problem governed by elliptic equations with power-type nonlinearity. We propose a numerical reconstruction via a suitable least-squares minimization problem based on piecewise linear finite elements. As one of our main novelties, we establish conditional stability estimates at the continuous level, which form the theoretical foundation of the present finite element analysis. Our stability analysis relies on tailored analytical tools, including Hardy-type inequalities, fractional Gagliardo–Nirenberg inequalities, and weighted spaces with singular distance weights. By invoking the achieved conditional stability together with the Carstensen quasi-interpolation operator and associated estimates in negative Sobolev spaces, we derive a priori error estimates for the proposed finite element approximation in terms of the mesh size, the regularization parameter, the noise level, and the nonlinearity exponent. Our results extend the recent stability and error estimates for the linear case by Jin et al. [] and sharpen their error estimates and convergence order under weaker regularity assumptions.","PeriodicalId":49527,"journal":{"name":"SIAM Journal on Numerical Analysis","volume":"13 1","pages":""},"PeriodicalIF":2.9,"publicationDate":"2026-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149187909","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

Computation and analysis of the face index for benzenoid planar octahedron networks 苯类平面八面体网络面指数的计算与分析

IF 1 4区数学

Journal of Combinatorial Optimization Pub Date : 2026-10-16 DOI: 10.1007/s10878-026-01483-8

Jai Parkash,Vijay Kumar Bhat

引用次数: 0

A model for mosquito-borne epidemic outbreaks with information-dependent protective behaviour. 具有信息依赖保护行为的蚊媒流行病暴发模型。

IF 2.7 4区数学

Journal of Mathematical Biology Pub Date : 2026-10-16 DOI: 10.1007/s00285-026-02472-5

Simone De Reggi, Andrea Pugliese, Mattia Sensi, Cinzia Soresina

{"title":"A model for mosquito-borne epidemic outbreaks with information-dependent protective behaviour.","authors":"Simone De Reggi, Andrea Pugliese, Mattia Sensi, Cinzia Soresina","doi":"10.1007/s00285-026-02472-5","DOIUrl":"10.1007/s00285-026-02472-5","url":null,"abstract":"We investigate a model for a mosquito-borne epidemic in which human hosts may adopt protective behaviour against vector bites in response to information on both past and current disease prevalence. Assuming that mosquitoes can also feed on non-competent hosts (i.e. hosts that do not contribute to disease transmission), we first revisit existing results and show that behaviour-driven protection may either decrease or increase the basic reproduction number, depending on the interaction between behavioural response, host composition, and transmission parameters. Assuming that opinion dynamics evolves on a much faster time scale than disease transmission, we then apply Geometric Singular Perturbation Theory to effectively reduce the original two-group model to a model for a homogeneous host population. The reduced system enables a detailed investigation of the impact of information-induced behavioural changes on the transient dynamics of the epidemic, including scenarios in which protective measures lead to outbreaks with low attack rates. Our analysis shows that behavioural responses may either facilitate epidemic control or prolong disease persistence, potentially generating recurrent damped epidemic waves. Numerical simulations are provided to illustrate and support the analytical findings.","PeriodicalId":50148,"journal":{"name":"Journal of Mathematical Biology","volume":"93 5","pages":""},"PeriodicalIF":2.7,"publicationDate":"2026-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13675354/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

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