Nonlinear Analysis-Real World Applications最新文献_第3页

A Riemann–Hilbert approach to the existence results for the Benjamin–Ono equation on a half-line 半线上本杰明-奥诺方程存在结果的黎曼-希尔伯特方法

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-09-07 DOI: 10.1016/j.nonrwa.2024.104211

引用次数: 0

Modeling and analysis of a two-strain immuno-epidemiological model with reinfection 带有再感染的双菌株免疫流行病学模型的建模与分析

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-08-27 DOI: 10.1016/j.nonrwa.2024.104188

{"title":"Modeling and analysis of a two-strain immuno-epidemiological model with reinfection","authors":"","doi":"10.1016/j.nonrwa.2024.104188","DOIUrl":"10.1016/j.nonrwa.2024.104188","url":null,"abstract":"<div><p>In this paper, we formulate a two-strain model with reinfection that combines immunological and epidemiological dynamics across scales, using the COVID-19 pandemic as a case study. Firstly, we conduct a qualitative analysis of both within-host and between-host models. For the within-host model, we prove the existence and stability of equilibria, and Hopf bifurcation occurs from the infection equilibrium with immune response. This implies that, under specific immune states, the virus within an infected individual may persist, and its concentration may also oscillate periodically. For the between-host model, the disease-free equilibrium always exists and is locally asymptotically stable when the epidemiological basic reproduction number <span><math><mrow><msup><mrow><mi>ℜ</mi></mrow><mrow><mn>0</mn></mrow></msup><mo><</mo><mn>1</mn></mrow></math></span>. In addition, the model can have boundary equilibria of strain 1 or strain 2, which are locally asymptotically stable under specific conditions. However, the co-existence equilibrium does not exist. Secondly, to explore the infection and transmission mechanisms of two strain models and obtain reliable parameter values, we utilize statistical data to fit the immuno-epidemiological model. Simultaneously, we conduct an identifiability analysis of the immuno-epidemiological model to ensure the robustness of the fitted parameters. The results demonstrate the reliable estimation of parameter ranges for structurally unidentifiable parameters with minor measurement errors using the affine invariant ensemble Markov Chain Monte Carlo algorithm (GWMCMC). Moreover, simulations illustrate that enhancing treatment of patients infected with BA.2 strains to inhibit the number of viruses released by infected cells can significantly reduce disease spread.</p></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142083944","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

Stability for some classes of degenerate nonlinear hyperbolic equations with time delay 有时间延迟的几类退化非线性双曲方程的稳定性

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-08-23 DOI: 10.1016/j.nonrwa.2024.104191

引用次数: 0

Existence of weak solutions to a Cahn–Hilliard–Biot system Cahn-Hilliard-Biot 系统弱解的存在性

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-08-22 DOI: 10.1016/j.nonrwa.2024.104194

引用次数: 0

Two point boundary value problems for ordinary differential systems with generalized variable exponents operators 具有广义可变指数算子的常微分系统的两点边界值问题

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-08-19 DOI: 10.1016/j.nonrwa.2024.104196

{"title":"Two point boundary value problems for ordinary differential systems with generalized variable exponents operators","authors":"","doi":"10.1016/j.nonrwa.2024.104196","DOIUrl":"10.1016/j.nonrwa.2024.104196","url":null,"abstract":"<div><p>In recent years an increasing interest in more general operators generated by Musielak–Orlicz functions is under development since they provided, in principle, a unified treatment to deal with ordinary and partial differential equations with operators containing the <span><math><mi>p</mi></math></span>-Laplace operator, the <span><math><mi>ϕ</mi></math></span>-Laplace operator, operators with variable exponents and the double phase operators. These kind of consideration lead us in García-Huidobro et al. (2024), to consider problems containing the operator <span><math><msup><mrow><mrow><mo>(</mo><mi>S</mi><mrow><mo>(</mo><mi>t</mi><mo>,</mo><msup><mrow><mi>u</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>)</mo></mrow><mo>)</mo></mrow></mrow><mrow><mo>′</mo></mrow></msup></math></span>, where <span><math><mrow><msup><mrow></mrow><mrow><mo>′</mo></mrow></msup><mo>=</mo><mfrac><mrow><mi>d</mi></mrow><mrow><mi>d</mi><mi>t</mi></mrow></mfrac></mrow></math></span> and look for period solutions of systems of nonlinear systems of differential equations. In this paper we extend our approach to deal with systems of differential equations containing the operator <span><math><msup><mrow><mrow><mo>(</mo><mi>S</mi><mrow><mo>(</mo><mi>t</mi><mo>,</mo><msup><mrow><mi>u</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>)</mo></mrow><mo>)</mo></mrow></mrow><mrow><mo>′</mo></mrow></msup></math></span> this time under Dirichlet, mixed and Neumann boundary conditions. As in García-Huidobro et al. (2024) our approach is to work in <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> spaces to obtain suitable abstract fixed points theorems from which several applications are obtained, including problems of Liénard and Hartman type.</p></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S1468121824001354/pdfft?md5=ac628e3767222624855b536f51042fcb&pid=1-s2.0-S1468121824001354-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142007103","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}

引用次数: 0

Homogenization of high-contrast media in finite-strain elastoplasticity 有限应变弹塑性中的高对比度介质均质化

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-08-19 DOI: 10.1016/j.nonrwa.2024.104198

引用次数: 0

Nicholson’s blowflies differential equations with a small delay in the mortality term 死亡率项有微小延迟的尼科尔森吹蝇微分方程

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-08-19 DOI: 10.1016/j.nonrwa.2024.104193

引用次数: 0

Suppression of blowup by slightly superlinear degradation in a parabolic–elliptic Keller–Segel system with signal-dependent motility 在抛物线-椭圆形凯勒-西格尔系统中通过轻微超线性退化抑制炸裂，该系统的运动依赖于信号

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-08-17 DOI: 10.1016/j.nonrwa.2024.104190

{"title":"Suppression of blowup by slightly superlinear degradation in a parabolic–elliptic Keller–Segel system with signal-dependent motility","authors":"","doi":"10.1016/j.nonrwa.2024.104190","DOIUrl":"10.1016/j.nonrwa.2024.104190","url":null,"abstract":"<div><p>In this paper, we consider an initial–Neumann boundary value problem for a parabolic–elliptic Keller–Segel system with signal-dependent motility and a source term. Previous research has rigorously shown that the source-free version of this system exhibits an infinite-time blowup phenomenon when dimension <span><math><mrow><mi>N</mi><mo>≥</mo><mn>2</mn></mrow></math></span>. In the current work, when <span><math><mrow><mi>N</mi><mo>≤</mo><mn>3</mn></mrow></math></span>, we establish uniform boundedness of global classical solutions with an additional source term that involves slightly super-linear degradation effect on the density, of a maximum growth order <span><math><mrow><mi>s</mi><mo>log</mo><mi>s</mi></mrow></math></span>, unveiling a sufficient blowup suppression mechanism. The motility function considered in our work takes a rather general form compared with recent works (Fujie and Jiang, 2020; Lyu and Wang, 2023) which were restricted to the monotone non-increasing case. The cornerstone of our proof lies in deriving an upper bound for the second component of the system and an entropy-like estimate, which are achieved through tricky comparison skills and energy methods, respectively.</p></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142002449","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

Coefficient identification of the regularized p-Stokes equations 正则化 p-Stokes 方程的系数识别

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-08-17 DOI: 10.1016/j.nonrwa.2024.104197

引用次数: 0

Proof of two conjectures for perturbed piecewise linear Hamiltonian systems 扰动片断线性哈密顿系统的两个猜想的证明

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2024-08-16 DOI: 10.1016/j.nonrwa.2024.104195

引用次数: 0