IF 1.6 4区数学

Inverse Problems and Imaging Pub Date : 2027-02-01 Epub Date: 2026-04-13 DOI: 10.3934/ipi.2026033

Shay Kreymer, Amit Singer, Tamir Bendory

引用次数: 0

Threshold dynamics of a reaction-diffusion-advection schistosomiasis model with seasonality 具有季节性的反应-扩散-平流型血吸虫病模型的阈值动力学

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-12-01 Epub Date: 2026-02-04 DOI: 10.1016/j.nonrwa.2026.104617

Yijie Zha , Xun Cao

{"title":"Threshold dynamics of a reaction-diffusion-advection schistosomiasis model with seasonality","authors":"Yijie Zha , Xun Cao","doi":"10.1016/j.nonrwa.2026.104617","DOIUrl":"10.1016/j.nonrwa.2026.104617","url":null,"abstract":"<div><div>This paper proposes a reaction-diffusion-advection schistosomiasis model with seasonality based on the life cycle of schistosomiasis (humans, eggs, snails, and cercariae). Using the next generation operator theory, we define the basic reproduction number <span><math><msub><mi>R</mi><mn>0</mn></msub></math></span> that characterizes the transmission potential of schistosomiasis, and further reveal the threshold dynamics of the system through the monotone dynamical system theory. Specifically, if <span><math><mrow><msub><mi>R</mi><mn>0</mn></msub><mo>≤</mo><mn>1</mn></mrow></math></span>, the disease-free periodic solution is globally asymptotically stable, meaning that schistosomiasis will die out; if <span><math><mrow><msub><mi>R</mi><mn>0</mn></msub><mo>></mo><mn>1</mn></mrow></math></span>, the system admits a unique positive periodic solution that is globally asymptotically stable, indicating that the disease will break out. Numerically, we use data from Ourinhos, Brazil, to analyze the impact of diffusion rates, spatial heterogeneity, advection rates, and seasonality on the transmission of schistosomiasis.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"92 ","pages":"Article 104617"},"PeriodicalIF":1.8,"publicationDate":"2026-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146116723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Well-posedness results and global attractors for a generalized coupled dynamical system 一类广义耦合动力系统的适定性结果和全局吸引子

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-12-01 Epub Date: 2026-02-04 DOI: 10.1016/j.nonrwa.2026.104615

Xiuwen Li , Zhenhai Liu , Jing Zhao

引用次数: 0

Sectional Kolmogorov N-widths for parameter-dependent function spaces: a general framework with application to parametrized Friedrichs’ systems 参数相关函数空间的分段Kolmogorov n -宽度：一个应用于参数化friedrich系统的一般框架

IF 2.6 3区数学

Advances in Computational Mathematics Pub Date : 2026-10-19 DOI: 10.1007/s10444-026-10375-8

Christian Engwer, Mario Ohlberger, Lukas Renelt

{"title":"Sectional Kolmogorov N-widths for parameter-dependent function spaces: a general framework with application to parametrized Friedrichs’ systems","authors":"Christian Engwer, Mario Ohlberger, Lukas Renelt","doi":"10.1007/s10444-026-10375-8","DOIUrl":"10.1007/s10444-026-10375-8","url":null,"abstract":"<div><p>We investigate parametrized variational problems where for each parameter the solution may originate from a different parameter-dependent function space. Our main motivation is the theory of Friedrichs’ systems, a large abstract class of linear PDE problems whose solutions are sought in operator- (and thus parameter-)dependent graph spaces. Other applications include function spaces on parametrized domains or discretizations involving data-dependent stabilizers. Concerning the set of all parameter-dependent solutions, we argue that in these cases, the interpretation as a “solution manifold” widely adopted in the model order reduction community is no longer applicable. Instead, we propose a novel framework based on the theory of fiber bundles and explain how established concepts such as approximability generalize by introducing a sectional Kolmogorov <i>N</i>-width. Further, we prove exponential approximation rates of this <i>N</i>-width if a norm equivalence criterion is fulfilled. Applying this result to problems with Friedrichs’ structure then gives a sufficient criterion that can be easily verified.</p></div>","PeriodicalId":50869,"journal":{"name":"Advances in Computational Mathematics","volume":"52 6","pages":""},"PeriodicalIF":2.6,"publicationDate":"2026-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149214567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Planar Coulomb Gas on a Jordan Arc at Any Temperature 任意温度下约当弧上的平面库仑气体

IF 3 1区数学

Communications on Pure and Applied Mathematics Pub Date : 2026-10-19 DOI: 10.1002/cpa.70065

K. Courteaut, K. Johansson, F. Viklund

{"title":"Planar Coulomb Gas on a Jordan Arc at Any Temperature","authors":"K. Courteaut, K. Johansson, F. Viklund","doi":"10.1002/cpa.70065","DOIUrl":"https://doi.org/10.1002/cpa.70065","url":null,"abstract":"We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc in the complex plane, at inverse temperature . Let be the normalized partition function, where is the capacity of , the entropy of the logarithmic equilibrium measure on , and . We compute the free energy as the number of particles tends to infinity, including the constant term: Here is an explicit Selberg integral, is half the Loewner energy of a certain Jordan curve associated to plus a term corresponding to the endpoints of the arc, and is the Fekete energy, related to the zero temperature limit of the model. We also prove an asymptotic formula for the Laplace transform of linear statistics for sufficiently regular test functions. As a consequence, the centered empirical measure converges to a Gaussian field with explicit asymptotic mean, and asymptotic variance given by the Dirichlet energy of the bounded harmonic extension of the test function outside of the arc. A key tool in our analysis is the arc‐Grunsky operator associated to , reminiscent of but different from the classical Grunsky operator. We derive several basic properties of the arc‐Grunsky operator, including an estimate analogous to the strengthened Grunsky inequality and the relation to the Dirichlet integral. In our proofs arises from the Fredholm determinant and a substantial part of the paper is devoted to relating this to the Loewner energy.","PeriodicalId":10601,"journal":{"name":"Communications on Pure and Applied Mathematics","volume":"234 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149218629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Maps preserving the maximal numerical range of generalized products of operators 保留算子的广义积的最大数值范围的映射

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

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

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":"<p><p>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.</p>","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

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

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