Mathematical Methods in the Applied Sciences最新文献

{"title":"Asymptotic Properties of a Stochastic Predator–Prey Model With a General Functional Response Driven by Dual Stochastic Perturbations","authors":"Fethi Souna","doi":"10.1002/mma.10825","DOIUrl":"https://doi.org/10.1002/mma.10825","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper investigates a generalized stochastic predator-prey model consisting of two differential equations with a general nonlinear functional response denoted as \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>F</mi>\u0000 <mo>(</mo>\u0000 <mi>u</mi>\u0000 <mo>,</mo>\u0000 <mi>v</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$$ Fleft(u,vright) $$</annotation>\u0000 </semantics></math>, driven by both standard Brownian motion and Lévy noise. Unlike prior research, the main objective of this manuscript is to investigate the long-term behavior of the system while placing only mild assumptions on the functional response. Our analysis establishes the existence and uniqueness of a global positive solution. Moreover, we derive sufficient conditions for the extinction and persistence of the two species by employing novel threshold parameters. Notably, these outcomes are derived and substantiated using a Lévy-type perturbation by not requiring that the Lévy noise be bounded; that is, we do not assume \u0000<span></span><math>\u0000 <mrow>\u0000 <mi>ϑ</mi>\u0000 <mo>(</mo>\u0000 <mi>𝕐</mi>\u0000 <mo>)</mo>\u0000 <mo>&lt;</mo>\u0000 <mi>∞</mi>\u0000 </mrow></math>.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 9","pages":"9585-9597"},"PeriodicalIF":2.1,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143950328","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}

{"title":"Global Attractivity of Neoclassical Models With Sublinear Ricker-Gamma Growth Rates and Variable Time-Lags","authors":"Le Van Hien","doi":"10.1002/mma.10839","DOIUrl":"https://doi.org/10.1002/mma.10839","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, the problem of global attractivity of a neoclassical model with sublinear Ricker-type Cobb-Douglas growth function and variable time-lag in the production function is investigated. By novel comparison techniques based on the fluctuation lemma and differential inequalities, the permanence property of positive solutions and global convergence to a unique positive equilibrium are established. The obtained results encompass existing ones in the literature as some special cases.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 9","pages":"9744-9750"},"PeriodicalIF":2.1,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143950228","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}

{"title":"A New Polar Representation and Identities for Split Leonardo Quaternions","authors":"Ali Atasoy","doi":"10.1002/mma.10830","DOIUrl":"https://doi.org/10.1002/mma.10830","url":null,"abstract":"<div>\u0000 \u0000 <p>In this study, we define split Leonardo quaternion sequences with components involving Leonardo numbers. We give fundamental properties and identities associated with split Leonardo quaternions, such as Binet's formula, as well as identities attributed to Catalan, Cassini, and d'Ocagne. Furthermore, we introduce an innovative concept: polar representation for these split quaternions using Cayley Dickson's notation. This alternative representation provides a new perspective on the structure of split Leonardo quaternions and give a deeper understanding of their geometric interpretations and transformations.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 9","pages":"9631-9639"},"PeriodicalIF":2.1,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143950227","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}

{"title":"Maximal Operators Associated With Walsh-Paley Systems on Dyadic Hardy Spaces","authors":"Ushangi Goginava,&nbsp;Nacima Memić,&nbsp;Farrukh Mukhamemdov","doi":"10.1002/mma.10841","DOIUrl":"https://doi.org/10.1002/mma.10841","url":null,"abstract":"&lt;p&gt;The concept of a critical point of the maximum operator \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;T&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ T $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; associated with the Walsh-Paley system is the focus of this study. Namely, a point \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;p&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;∈&lt;/mo&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {p}_0in left(0,1right) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; is called &lt;i&gt;critical&lt;/i&gt; with respect to \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;T&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ T $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, if \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;T&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ T $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; is bounded from \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;H&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;p&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {H}_p $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; to \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;L&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;p&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {L}_p $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, for all \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;p&lt;/mi&gt;\u0000 &lt;mo&gt;&gt;&lt;/mo&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;p&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ p&amp;gt;{p}_0 $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and it is not bounded from \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 ","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 9","pages":"9770-9777"},"PeriodicalIF":2.1,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10841","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143950229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Quantum Integral Inequalities Via Different Variants of Parameterized Harmonically Convex Functions on Finite Intervals With Related Applications","authors":"Ahsan Fareed Shah,&nbsp;Salah Mahmoud Boulaaras,&nbsp;Patricia J. Y. Wong,&nbsp;Muhammad Shoaib Saleem,&nbsp;Muhammad Umair Shahzad","doi":"10.1002/mma.10792","DOIUrl":"https://doi.org/10.1002/mma.10792","url":null,"abstract":"<div>\u0000 \u0000 <p>This work introduces a new concept, \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>k</mi>\u0000 </mrow>\u0000 <annotation>$$ k $$</annotation>\u0000 </semantics></math>-harmonically \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>γ</mi>\u0000 </mrow>\u0000 <annotation>$$ gamma $$</annotation>\u0000 </semantics></math>-convex function, which covers some important variants of harmonically convex functions previously presented in the literature. We have established well-known Hermite-Hadamard–type integral inequalities for this newly defined convexity using generalized quantum integrals. In addition, we discussed this well-known inequality on finite intervals using quantum integrals. Finally, we validated our unique findings using some examples, such as Python-programmed graphs and Mathematica.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"9194-9206"},"PeriodicalIF":2.1,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909562","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}

{"title":"RETRACTION: Corrigendum to a Fractional Sideways Problem in a One-Dimensional Finite-Slab with Deterministic and Random Interior Perturbed Data","authors":"","doi":"10.1002/mma.10774","DOIUrl":"https://doi.org/10.1002/mma.10774","url":null,"abstract":"<p><b>RETRACTION</b>: D. Duc Trong, N. Thi Hong Nhung, N. Dang Minh, and N. Nhu Lan, “Corrigendum to a Fractional Sideways Problem in a One-Dimensional Finite-Slab with Deterministic and Random Interior Perturbed Data,” <i>Mathematical Methods in the Applied Sciences</i> 47, no. 11 (2024): 8683–8708, https://doi.org/10.1002/mma.10039.</p><p>The above article, published online on 23 April 2024, in Wiley Online Library (wileyonlinelibrary.com) has been retracted by agreement between the authors; the journal Editor-in-Chief, Wolfgang Sprößig; and John Wiley and Sons Ltd. The retraction has been agreed upon due to an error at the editorial office, which led to the publication of a duplicate of the originally published article [<span>1</span>]. The authors were unaware of this error.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"9352"},"PeriodicalIF":2.1,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10774","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Scattering and Blow-Up Dichotomy of the Energy-Critical Nonlinear Schrödinger Equation With the Inverse-Square Potential","authors":"Masaru Hamano,&nbsp;Masahiro Ikeda","doi":"10.1002/mma.10794","DOIUrl":"https://doi.org/10.1002/mma.10794","url":null,"abstract":"<p>In this paper, we consider the energy critical nonlinear Schrödinger equation with a repulsive inverse square potential. In particular, we deal with radial initial data, whose energy is equal to the energy of static solution to the corresponding nonlinear Schrödinger equation without a potential. We investigate time behavior of the radial solutions with such initial data.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"9225-9240"},"PeriodicalIF":2.1,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10794","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Innate Character of Conformable Fractional Derivative and Its Effects on Solutions of Differential Equations","authors":"Jiafa Xu,&nbsp;Yujun Cui,&nbsp;Weiguo Rui","doi":"10.1002/mma.10807","DOIUrl":"https://doi.org/10.1002/mma.10807","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, the innate character of the conformable fractional derivative is studied and a new type of soliton named semidomain soliton has been discovered in the conformable fractional model. The investigation shows that there is a large difference between the conformable fractional derivative and the classical Riemann–Liouville fractional derivative. The conformable fractional differential operator no longer have memory function as Riemann–Liouville fractional differential operator. The further investigation shows that the conformable fractional derivative is essentially a kind of cognate derivative of the integer-order derivative. It is found that the solutions between the conformable fractional differential equations and the integer-order differential equations can be transformed directly through the variable replacements. Several theorems for solution replacements between the conformable fractional differential equation and the integer-order differential equation are given and proved. It is found that there are some differences on dynamical properties of solutions between the conformable fractional differential equations and the classical integer-order differential equations. The finding of the above interesting properties implies that the conformable fractional differential operator will have good application prospects on establishing mathematical models in the future.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 9","pages":"9414-9429"},"PeriodicalIF":2.1,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143950270","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}

{"title":"CMMSE: A Time-Varying Approach to Linear Mixed Models","authors":"Dário Ferreira,&nbsp;Sandra Ferreira","doi":"10.1002/mma.10819","DOIUrl":"https://doi.org/10.1002/mma.10819","url":null,"abstract":"<div>\u0000 \u0000 <p>Linear mixed models (LMMs) are widely utilized for their ability to handle both fixed and random effects, making them versatile tools in statistical analysis. However, traditional LMMs assume constant random effects over time, a limitation when dealing with data where variances and structures change. On the other hand, time series models like ARIMA and GARCH are great at capturing time-related patterns and volatility but cannot handle random effects. In this study, we propose a time-varying linear mixed model (TVLMM) that integrates the strengths of ARIMA, GARCH, and LMMs, allowing for dynamic random effects over time. This novel framework offers a more flexible and realistic approach to modeling data, particularly in contexts where underlying processes evolve, such as in finance, economics, and social sciences. We demonstrate the efficacy of TVLMM through a simulated dataset, highlighting its potential for more accurate and reliable forecasting.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 9","pages":"9562-9568"},"PeriodicalIF":2.1,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143950269","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}

{"title":"The Numerical Analysis of the Fractional Maxwell Fluid in Porous Rock Formations","authors":"Jinxia Jiang,&nbsp;Mengqi Liu,&nbsp;Haojie Zhao,&nbsp;Yan Zhang","doi":"10.1002/mma.10786","DOIUrl":"https://doi.org/10.1002/mma.10786","url":null,"abstract":"<div>\u0000 \u0000 <p>Fractional derivatives are global operators in which the time and space fractional derivatives represent temporal memory and spatial nonlocality, respectively. It is confirmed that the fractional Maxwell fluid model is more suitable for describing crude oil constitutive relation by the rheological experiment. In this paper, an investigation of the magnetohydrodynamic (MHD) flow and heat transfer of crude oil nanofluid in porous rock formations is presented. The fractional governing equations with the time and space fractional derivatives have been established. Numerical solutions are obtained by the finite difference method with the L1 algorithm and L2 algorithm to discrete the fractional derivatives. The numerical solution is verified by comparing with the exact solution constructed by introducing a source term. The effects of the involved parameters on the velocity and temperature distributions are analyzed and discussed in detail. It is noteworthy that the velocity profiles decrease significantly with the increasing \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>β</mi>\u0000 <mn>1</mn>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {beta}_1 $$</annotation>\u0000 </semantics></math> while the temperature profiles increase with the increasing \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>β</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {beta}_2 $$</annotation>\u0000 </semantics></math>.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 8","pages":"9140-9150"},"PeriodicalIF":2.1,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143909589","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}