Acta Applicandae Mathematicae最新文献

Strong and Polynomial Stability in Extensible Timoshenko Microbeam with Memories Based on the Modified Couple Stress Theory

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-03-17 DOI: 10.1007/s10440-025-00722-0

Moncef Aouadi

引用次数: 0

Dynamics of a Double Age-Structured SEIRI Epidemic Model

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-03-13 DOI: 10.1007/s10440-025-00723-z

Abderrazak Nabti, Salih Djilali, Malek Belghit

{"title":"Dynamics of a Double Age-Structured SEIRI Epidemic Model","authors":"Abderrazak Nabti, Salih Djilali, Malek Belghit","doi":"10.1007/s10440-025-00723-z","DOIUrl":"10.1007/s10440-025-00723-z","url":null,"abstract":"<div><p>The age-structured approach plays a crucial role in epidemiological modelling as it accounts for age-specific variations in susceptibility, transmission and disease progressions, providing a more accurate description of disease dynamics. In this paper, we create an age-structured epidemic model that incorporates age-dependent susceptibility and latency, as well as a relapse phase, with the objective of investigating the global dynamics of this model under the impact of that combination. The very important threshold parameter <span>(mathcal{R}_{0})</span> was introduced, and it has shown that it completely controls the stability of each equilibrium of the model. Based on the Lyapunov functional approach, we show that the disease-free equilibrium is globally asymptotically stable when <span>(mathcal{R}_{0}<1)</span>, while the positive endemic equilibrium is globally asymptotically stable whenever <span>(mathcal{R}_{0}>1)</span>. Our results suggest that early diagnostic of latency individuals, reduction in transmission rate and improvements in treatment and heath-care of infected individuals may effectively control the spread of the disease.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143612229","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

Correction to: Dynamics for a Charge Transfer Model with Cross-Diffusion: Turing Instability of Periodic Solutions 更正：带交叉扩散的电荷转移模型的动力学：周期解的图灵不稳定性

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-03-07 DOI: 10.1007/s10440-025-00721-1

Gaihui Guo, Jing You, Xinhuan Li, Yanling Li

引用次数: 0

Discrete and Embedded Trapped Modes in a Plane Quantum Waveguide with a Small Obstacle: Exact Solutions 带有小障碍物的平面量子波导中的离散和嵌入陷波模式：精确解法

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-03-07 DOI: 10.1007/s10440-025-00720-2

P. Zhevandrov, A. Merzon, M. I. Romero Rodríguez, J. E. De la Paz Méndez

引用次数: 0

Besov Regularity Estimates for a Class of Obstacle Problems with Variable Exponents

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-03-06 DOI: 10.1007/s10440-025-00718-w

Rumeng Ma, Fengping Yao

引用次数: 0

Solutions to Strongly Indefinite Chern-Simons-Schrödinger Systems

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-03-06 DOI: 10.1007/s10440-025-00719-9

Jin Deng

引用次数: 0

(C^{infty }) Well-Posedness of Higher Order Hyperbolic Pseudo-Differential Equations with Multiplicities

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-02-27 DOI: 10.1007/s10440-025-00717-x

Claudia Garetto, Bolys Sabitbek

引用次数: 0

Normalized Solutions of Fractional Schrödinger Equations with Combined Nonlinearities in Exterior Domains

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-02-21 DOI: 10.1007/s10440-025-00713-1

Ting-Ting Dai, Zeng-Qi Ou, Ying Lv

{"title":"Normalized Solutions of Fractional Schrödinger Equations with Combined Nonlinearities in Exterior Domains","authors":"Ting-Ting Dai, Zeng-Qi Ou, Ying Lv","doi":"10.1007/s10440-025-00713-1","DOIUrl":"10.1007/s10440-025-00713-1","url":null,"abstract":"<div><p>In this paper, we consider the existence of solutions for the following nonlinear Schrödinger equation with <span>(L^{2})</span>-norm constraint </p><div><div><span>$$ left { textstylebegin{array}{l@{quad }l} (-Delta )^{s} u=lambda u+mu |u|^{q-2} u+ |u|^{p-2} u & text{ in } Omega , u=0 & text{ on } partial Omega , int _{Omega }u^{2} d x=a^{2}, & end{array}displaystyle right . $$</span></div></div><p> where <span>(sin (0,1))</span>, <span>(mu ,a>0)</span>, <span>(Nge 3)</span>, <span>(2< q< p<2+frac{4s}{N})</span>, <span>((-Delta )^{s})</span> is the fractional Laplacian operator, <span>(Omega subseteq mathbb{R}^{N})</span> is an exterior domain, that is, <span>(Omega )</span> is an unbounded domain in <span>(mathbb{R}^{N})</span> with <span>(mathbb{R}^{N}backslash Omega )</span> non-empty and bounded and <span>(lambda in mathbb{R})</span> is Lagrange multiplier, which appears due to the mass constraint <span>(||u||_{L^{2}(Omega )}= a)</span>. In this paper, we use Brouwer degree, barycentric functions and minimax method to prove that for any <span>(a > 0)</span>, there exists a positive solution <span>(uin H^{s}_{0} (Omega ))</span> for some <span>(lambda <0)</span> if <span>(mathbb{R}^{N}backslash Omega )</span> is contained in a small ball.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143465893","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

A Lagrangian Formulation for the Oldroyd B Fluid and the Second Law of Thermodynamics

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-02-20 DOI: 10.1007/s10440-025-00716-y

Hervé Le Dret, Annie Raoult

引用次数: 0

On a Cross-Diffusion Model in Ecohydrology: Theory and Numerics

IF 1.2 4区数学

Acta Applicandae Mathematicae Pub Date : 2025-02-19 DOI: 10.1007/s10440-025-00708-y

Iván Moreno-Villamil, Diego A. Rueda-Gómez, Élder J. Villamizar-Roa

{"title":"On a Cross-Diffusion Model in Ecohydrology: Theory and Numerics","authors":"Iván Moreno-Villamil, Diego A. Rueda-Gómez, Élder J. Villamizar-Roa","doi":"10.1007/s10440-025-00708-y","DOIUrl":"10.1007/s10440-025-00708-y","url":null,"abstract":"<div><p>In this paper, we consider a version of the mathematical model introduced in (Wang et al. in Commun. Nonlinear Sci. Numer. Simul. 42:571–584, 2017) to describe the interaction between vegetation and soil water in arid environments. The model corresponds to a nonlinear parabolic coupled system of partial differential equations, with non-flux boundary conditions, which incorporates, in addition to the natural diffusion of water and plants, a cross-diffusion term given by the hydraulic diffusivity due to the suction of water by the roots. The model also considers a monotonously decreasing vegetation death rate capturing the infiltration feedback between plants and ground water. We first prove the existence and uniqueness of global solutions in a large class of initial data, allowing non-regular ones. These solutions are in a mild setting and under additional regularity assumptions on the initial data and the domain, they are classical. Second, we propose a fully discrete numerical scheme, based on a semi-implicit Euler discretization in time and finite element discretization (with “mass-lumping”) in space, for approximating the solutions of the continuous model. We prove the well-posedness of the numerical scheme and some qualitative properties of the discrete solutions including, positivity, uniform weak and strong estimates, convergence towards strong solutions and optimal error estimates. Finally, we present some numerical experiments in order to showcase the good behavior of the numerical scheme including the formation of Turing patterns, as well as to validate the convergence order in the error estimates obtained in the theoretical analysis.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"196 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10440-025-00708-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143446536","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