Mathematical Methods in the Applied Sciences最新文献

{"title":"Enhanced Analysis of General Noncontinuous Stochastic Epidemic Model With Vaccination: A Novel Framework and Practical Application to COVID-19 in Saudi Arabia","authors":"Yassine Sabbar,&nbsp;Waleed Adel,&nbsp;Amr Elsonbaty","doi":"10.1002/mma.10711","DOIUrl":"https://doi.org/10.1002/mma.10711","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper introduces an enhanced analysis of a stochastic epidemic model that integrates vaccination and discontinuities. Our methodology initiates with formulating a perturbed model incorporating dual general incidence functions and a thorough distribution for jump components. After confirming the well-posed nature of this model, we proceed to establish a global threshold criterion that discerns between the persistence and eradication of the infection. The accuracy of this threshold is scrutinized through numerical simulations utilizing real data related to COVID-19 in Saudi Arabia. A distinctive feature of our approach is its departure from previous studies, as we provide a comprehensive framework and pinpoint optimal conditions for the model.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6734-6748"},"PeriodicalIF":2.1,"publicationDate":"2025-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622392","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":"Hardy-Type \u0000p-Laplacian Fractional Differential Equations","authors":"Nemat Nyamoradi,&nbsp;J. Vanterler da C. Sousa","doi":"10.1002/mma.10683","DOIUrl":"https://doi.org/10.1002/mma.10683","url":null,"abstract":"<div>\u0000 \u0000 <p>In this work, we study the existence and nonexistence of solutions to fractional Dirichlet boundary value problems with \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>ψ</mi>\u0000 </mrow>\u0000 <annotation>$$ psi $$</annotation>\u0000 </semantics></math>-Hilfer fractional derivatives, \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 <annotation>$$ p $$</annotation>\u0000 </semantics></math>-Laplacian, and Hardy-type singularity term using variational methods.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6469-6476"},"PeriodicalIF":2.1,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622725","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 Mild Solution for a Fractional Chemotaxis–Fluid System Modeling Coral Fertilization With Tensor-Valued Sensitivity","authors":"Heng Ruan,&nbsp;Zuhan Liu,&nbsp;Chao Jiang","doi":"10.1002/mma.10671","DOIUrl":"https://doi.org/10.1002/mma.10671","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;In this paper, we consider the following a fractional chemotaxis–fluid system modeling coral fertilization with tensor-valued sensitivity in \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;ℝ&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;3&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {mathbb{R}}&amp;#x0005E;3 $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;.&lt;/p&gt;\u0000 &lt;p&gt;Here the tensor-valued sensitivity function \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;S&lt;/mi&gt;\u0000 &lt;mfenced&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;c&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/mfenced&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ Sleft(x,rho, cright) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; satisfies \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;|&lt;/mo&gt;\u0000 &lt;mi&gt;S&lt;/mi&gt;\u0000 &lt;mfenced&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;c&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/mfenced&gt;\u0000 &lt;mo&gt;|&lt;/mo&gt;\u0000 &lt;mo&gt;≤&lt;/mo&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;C&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;S&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ mid Sleft(x,rho, cright)mid le {C}_S $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;. We show that if \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;α&lt;/mi&gt;\u0000 &lt;mo&gt;∈&lt;/mo&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mfrac&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;2&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/mfrac&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;$$ alpha in left(frac{1}{2},1right) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and the initial data satisfy \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;mo&gt;‖&lt;/mo&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;ρ&lt;/mi&gt;\u0000 ","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6278-6291"},"PeriodicalIF":2.1,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622724","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":"Stabilization of a Semilinear Wave Equation With Time-Dependent Variable Coefficients and a Time Varying Delay on the Viscoelastic Boundary","authors":"Sheng-Jie Li,&nbsp;Shugen Chai","doi":"10.1002/mma.10659","DOIUrl":"https://doi.org/10.1002/mma.10659","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper focuses on the stabilization of a semilinear wave equation with time-dependent variable coefficients and nonlinear delay on the memory-type boundary, subject to nonlinear boundary dissipation. The existence of weak solution is obtained by means of Faedo-Galerkin approximation and denseness argument. We employ the Riemannian geometry method and convex properties to establish the asymptotic decay rates for the energy. This is achieved through an intrinsic algorithm driven by solutions of an ODE. Moreover, we explore two simple models that aim to contribute to the understanding of how the boundary memory works. Additionally, we give an example of the vector field used to construct geometric multipliers under semilinear conditions.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 5","pages":"6110-6130"},"PeriodicalIF":2.1,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143595144","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":"Results on Existence, Uniqueness, and Stability of an Impulsive Caputo–Katugampola Hybrid FDE With \u0000p-Laplacian Operator","authors":"Darshana Devi,&nbsp;Jayanta Borah","doi":"10.1002/mma.10695","DOIUrl":"https://doi.org/10.1002/mma.10695","url":null,"abstract":"<div>\u0000 \u0000 <p>The article deals with a second kind of hybrid noninstantaneous impulsive fractional differential equation with \u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 <annotation>$$ p $$</annotation>\u0000 </semantics></math>-Laplacian operator involving Caputo–Katugampola fractional derivatives. The rudimentary concept of this article is to establish the existence, uniqueness, Hyers–Ulam stability, and Hyers–Ulam–Rassias stability. The fixed point approach is the basis for establishing the results of solution to the considered problem. An example is also given to highlight the main findings.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6561-6572"},"PeriodicalIF":2.1,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622721","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":"Subordinators and Generalized Heat Kernels: Random Time Change and Long Time Dynamics","authors":"Noha Aljaber,&nbsp;Aisha Alshehri,&nbsp;Haya Altamimi,&nbsp;Mohamed Majdoub,&nbsp;Ezzedine Mliki","doi":"10.1002/mma.10705","DOIUrl":"https://doi.org/10.1002/mma.10705","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper focuses on studying the long-time dynamics of the subordination process for a range of linear evolution equations, with a special emphasis on the fractional heat equation. By treating inverse subordinators as random time variables and employing the subordination principle to solve forward Kolmogorov equations, we explore the behavior of the solutions over extended periods. We provide a detailed description of the specific classes of subordinators suitable for conducting asymptotic analysis. Our findings not only extend existing research but also refine the results outlined in prior studies.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6664-6670"},"PeriodicalIF":2.1,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622719","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":"Smooth Solution in an \u0000N-Dimensional Chemotaxis Model With Intraguild Predation","authors":"Liqiong Pu,&nbsp;Haotian Tang,&nbsp;Jiashan Zheng","doi":"10.1002/mma.10694","DOIUrl":"https://doi.org/10.1002/mma.10694","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;In this paper, we consider a reaction–diffusion intraguild predation model with chemotaxis \u0000\u0000 &lt;/p&gt;&lt;div&gt;&lt;span&gt;&lt;!--FIGURE--&gt;\u0000 &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mfenced&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mtable&gt;\u0000 &lt;mtr&gt;\u0000 &lt;mtd&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;s&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;=&lt;/mo&gt;\u0000 &lt;mi&gt;Δ&lt;/mi&gt;\u0000 &lt;mi&gt;s&lt;/mi&gt;\u0000 &lt;mo&gt;+&lt;/mo&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;mi&gt;s&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;mi&gt;s&lt;/mi&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;mi&gt;u&lt;/mi&gt;\u0000 &lt;mi&gt;s&lt;/mi&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;mi&gt;v&lt;/mi&gt;\u0000 &lt;mi&gt;s&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;/mtd&gt;\u0000 &lt;mtd&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;mo&gt;∈&lt;/mo&gt;\u0000 &lt;mi&gt;Ω&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;mo&gt;&gt;&lt;/mo&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;/mtd&gt;\u0000 &lt;/mtr&gt;\u0000 &lt;mtr&gt;\u0000 &lt;mtd&gt;\u0000 &lt;msub&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;u&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;=&lt;/mo&gt;\u0000 &lt;mi&gt;Δ&lt;/mi&gt;\u0000 &lt;mi&gt;u&lt;/mi&gt;\u0000 &lt;mo&gt;+&lt;/mo&gt;\u0000 &lt;mo&gt;∇&lt;/mo&gt;\u0000 ","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6553-6560"},"PeriodicalIF":2.1,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622720","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":"Concentration and Cavitation in the Riemann Solutions for the Triple-Pressure Euler Equations Involving a Source Term","authors":"Yuan Tian,&nbsp;Chun Shen","doi":"10.1002/mma.10648","DOIUrl":"https://doi.org/10.1002/mma.10648","url":null,"abstract":"<div>\u0000 \u0000 <p>The exact solutions for the Riemann problem concerning the one-dimensional triple-pressure Euler equations with the Coulomb-type frictional term are displayed in perfectly explicit forms, where both the rarefaction and shock waves are presented in parabolic shapes with equal curvature under the action of the Coulomb-type frictional term. Specifically, the curved delta shock wave is formed by sending the limit of Riemann solution comprised of double shock waves, and the vacuum state is also grown up by taking the limit of Riemann solution comprised of double rarefaction waves when all the three perturbation parameters are dropped to zero, where the remarkable concentration and cavitation phenomena can be closely observed and explored. Besides, the numerical simulations in correspondence are also offered to validate our results.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 5","pages":"5954-5971"},"PeriodicalIF":2.1,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143595145","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":"Stability analysis of stochastic Lyapunov functions: Applications to memristor neural networks","authors":"Vaz'he Rahimi,&nbsp;Davood Ahmadian","doi":"10.1002/mma.10574","DOIUrl":"https://doi.org/10.1002/mma.10574","url":null,"abstract":"<p>This paper investigates the mean square exponential stability of stochastic neural networks relying on memristor with leakage delay with different types of activation functions. To this aim, we introduce a new suitable stochastic Lyapunov-Krasovskii functional (SLKF) and employ Filippov solutions to derive stability criteria using It\u0000<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mover>\u0000 <mrow>\u0000 <mi>o</mi>\u0000 </mrow>\u0000 <mo>^</mo>\u0000 </mover>\u0000 </mrow>\u0000 <annotation>$$ hat{o} $$</annotation>\u0000 </semantics></math>'s formula. We encounter with a nonlinear matrix inequality which should be converted to a linear matrix inequality (LMI) problem by using Schur complement lemma. The proposed problem is handled by using the CVX toolbox in MATLAB software. In the numerical examples section, we bring two examples related to two- and three-dimentional memristor-based neural networks whose coefficients satisfy in the Schur complement lemma. The figures show that the employed stochastic Lyapunov functions can capture the exponential stability conditions.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 5","pages":"5396-5415"},"PeriodicalIF":2.1,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143594851","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 Heart Chamber Model Using a Capacitance Function Combined With the Navier–Stokes Equations","authors":"Laryssa Abdala,&nbsp;Carlos Eduardo K. Mady,&nbsp;Maicon R. Correa","doi":"10.1002/mma.10682","DOIUrl":"https://doi.org/10.1002/mma.10682","url":null,"abstract":"<div>\u0000 \u0000 <p>We present a simplified mathematical and computational model of blood flow through a chamber of a healthy human heart, with a particular description of the left ventricle. We use fixed representations of the domain and mesh, assume blood to be an incompressible Newtonian fluid, and simulate the chamber volume variation by introducing a capacitance function, which is space and time-dependent. The inclusion of this capacitance function gives rise to a model whose differential form resembles the compressible Navier–Stokes equations. The numerical methodology is based on stable Galerkin mixed finite element formulations posed on velocity and pressure. Convergence studies for the two-dimensional steady-state Stokes equation with spatially-varying capacitance indicate optimal convergence orders when combining continuous biquadratic velocities with continuous bilinear pressures (Taylor–Hood elements) or discontinuous unmapped linear pressures. On the other hand, we observed loss of optimality with discontinuous linear mapped approximations for this field, as expected for the classical Stokes problem. Additional convergence studies indicate that the optimal convergence properties are preserved in the resolution of the nonlinear model, for the case of smooth solutions. Finally, we present simulations of cardiac cycles in an idealized human left ventricle in two and three dimensions. The results are meaningful given the model simplicity and open the possibility for future extensions of the proposed methodology.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6447-6468"},"PeriodicalIF":2.1,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622287","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}