Acta Applicandae Mathematicae最新文献

A Note on Instantaneous Gelation for Coagulation Kernels Vanishing on the Diagonal 关于在对角线上消失的凝聚核的瞬时胶凝的注记

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-04-17 DOI: 10.1007/s10440-026-00791-9

Iulia Cristian, Barbara Niethammer, Juan J. L. Velázquez

引用次数: 0

Global Existence and Uniform Boundedness in a Chemotaxis System with Signal Consumption and Logistic Growth Under Nonlinear Boundary Conditions 非线性边界条件下具有信号消耗和Logistic增长的趋化系统的全局存在性和一致有界性

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-04-14 DOI: 10.1007/s10440-026-00790-w

Bui Le Trong Thanh, Vo Hoang Nhat

引用次数: 0

Effect of Climate Change and Fear in a Fractional Prey-Predator Model with Crowley and Martin Functional Response 气候变化和恐惧在具有Crowley和Martin功能反应的分数捕食-捕食模型中的影响

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-04-13 DOI: 10.1007/s10440-026-00789-3

Chaimaa Assila, Hafida Benazza, Mohamed Reda Lemnaouar

{"title":"Effect of Climate Change and Fear in a Fractional Prey-Predator Model with Crowley and Martin Functional Response","authors":"Chaimaa Assila, Hafida Benazza, Mohamed Reda Lemnaouar","doi":"10.1007/s10440-026-00789-3","DOIUrl":"10.1007/s10440-026-00789-3","url":null,"abstract":"<div>Global climate change is intensifying, with rising temperatures significantly impacting ecological relationships. Understanding the connection between temperature and predation is imperative to address the threat of extinction resulting from excessive temperature increases. In this paper, we introduce a fractional prey-predator model incorporating the Caputo fractional operator. Our model considers prey-predator interactions based on Crowley and Martin’s functional response, accounting for the fear effect induced by predation. We analyze the non-negativity, existence, uniqueness, and boundedness of solutions within our model, considering both classical and Caputo derivative scenarios. Additionally, we investigate the local stability of each equilibrium under both integer and fractional-order conditions, emphasizing the global stability of the coexistence positive equilibrium point in both contexts. Our examination treats predation as a time-dependent function, with the temperature function reflecting climate change and elucidating how rising temperatures contribute to predation. Through numerical simulations, we explore the impacts of fear on prey behavior and population dynamics, and illustrate how climate change, especially rising temperatures, intricately affects species relationships.</div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"202 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737747","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

On the Existence and Uniqueness of Numerical Solutions for Heterogeneous Duhem Operators 非均匀Duhem算子数值解的存在唯一性

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-04-10 DOI: 10.1007/s10440-026-00785-7

Achille Landri Pokam Kakeu, Mapundi Kondwani Banda

引用次数: 0

A General Liouville-Type Theorem for the 3D Steady-State Magnetic-Bénard System 三维稳态磁- b<s:1>系统的一般liouville型定理

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-04-03 DOI: 10.1007/s10440-026-00788-4

Oscar Jarrín

引用次数: 0

Wasserstein Convergence of Invariant Measures for Stochastic FitzHugh-Nagumo Lattice Systems Driven by Nonlinear Noise 非线性噪声驱动下随机FitzHugh-Nagumo格系不变测度的Wasserstein收敛性

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-03-31 DOI: 10.1007/s10440-026-00786-6

Xintao Li, Jingjing Yao, Shuqin Guo

引用次数: 0

Long-Time Behavior of Solutions to the Fourth-Order Hyperbolic Equations with Variable-Exponent Nonlinearities 四阶变指数非线性双曲型方程解的长时性

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-03-31 DOI: 10.1007/s10440-026-00787-5

Xiaolei Li, Shuke Xiao, Jingjing Zhang

引用次数: 0

Micropolar Fluid-Thin Elastic Structure Interaction: Asymptotic Analysis 微极流体-薄弹性结构相互作用：渐近分析

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-03-27 DOI: 10.1007/s10440-026-00780-y

Grigory P. Panasenko, Laetitia Paoli, Ruxandra Stavre

{"title":"Micropolar Fluid-Thin Elastic Structure Interaction: Asymptotic Analysis","authors":"Grigory P. Panasenko, Laetitia Paoli, Ruxandra Stavre","doi":"10.1007/s10440-026-00780-y","DOIUrl":"10.1007/s10440-026-00780-y","url":null,"abstract":"<div>This article presents an asymptotic analysis of a periodic micropolar fluid flow in an infinite thin channel with an impervious wall and an elastic stratified stiff wall in the context of fluid-structure interaction problems. The considered model was introduced in a previous article (Panasenko et al. in Math. Model. Anal. 29(4):641–668, 2024) and it depends on a small parameter, ({varepsilon }), defined as the ratio between the thickness of the elastic structure and that of the fluid layer. We perform an asymptotic analysis with respect to this small parameter for a suitable scaling of the physical data depending on ({varepsilon }). Corresponding to this choice, the densities are of order ({varepsilon }^{0}), the elasticity coefficients (the Young’s moduli of the stratified elastic structure) are of order ({varepsilon }^{-3}) and the external forces acting on the elastic material are of order ({varepsilon }^{-1}). We define an asymptotic solution of order (J) expressed by means of matrix-valued, vectorial and scalar functions and then we construct and solve the problems for these unknown functions. We provide next a rigorous justification of the asymptotic construction. More precisely, we show that the error between the solution of the physical problem and the asymptotic solution of order (J) with respect to suitable norms is of order ({mathcal{O}}({varepsilon }^{J+upsilon })) for any (J ge 0) and (upsilon ) a positive fixed number. This means that the asymptotic solution of order (J) represents a good approximation of the exact solution even for (J=0), that fully justifies our asymptotic construction.</div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"202 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561638","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 Note on Spectral-Like Convergence of Fourier Approximation via a Mollifier Using Recursive Rogosinski Kernel 基于递归Rogosinski核的Mollifier傅里叶近似的谱收敛性注记

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-03-25 DOI: 10.1007/s10440-026-00781-x

Megha P, Chandhini G

引用次数: 0

A Note on the Linearized Oscillation Theorem for Nonlinear RLC Circuits of Duffing Oscillator Type Duffing振子型非线性RLC电路的线性化振荡定理注记

IF 1 4区数学

Acta Applicandae Mathematicae Pub Date : 2026-03-24 DOI: 10.1007/s10440-026-00784-8

Kazuki Ishibashi, Seiya Shirakusa

{"title":"A Note on the Linearized Oscillation Theorem for Nonlinear RLC Circuits of Duffing Oscillator Type","authors":"Kazuki Ishibashi, Seiya Shirakusa","doi":"10.1007/s10440-026-00784-8","DOIUrl":"10.1007/s10440-026-00784-8","url":null,"abstract":"<div>This study presents two main contributions concerning the oscillatory behavior of Duffing-type nonlinear RLC circuits with a nonlinear voltage-charge capacitor. First, using the well-known Riccati-type technique, we establish a comparison theorem linking the oscillation of nonlinear differential equations to that of corresponding linear equations, showing that classical linear oscillation results can be extended to a wide class of nonlinear systems under suitable structural conditions. Second, we apply this theorem to Duffing-type nonlinear RLC electrical circuit models, deriving explicit conditions under which all solutions oscillate. This approach demonstrates how linear oscillation theory can be rigorously applied to nonlinear circuits. Moreover, the proposed approach is not restricted to circuit models and is applicable to differential equations with periodic coefficients, including special cases of nonlinear Mathieu-type differential equations. Such equations are known as models describing coefficient excitation and parametric resonance phenomena. Overall, these results indicate that linear oscillation theory provides a unified and effective analytical framework for the study of nonlinear differential equations arising in applied sciences and engineering.</div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"202 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561311","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