Journal of Nonlinear Science最新文献_第7页

Environmental Stochasticity Driving the Extinction of Top Predators in a Food Chain Chemostat Model 在食物链恒温模型中，环境随机性导致顶级掠食者灭绝

IF 3 2区数学

Journal of Nonlinear Science Pub Date : 2024-04-06 DOI: 10.1007/s00332-024-10026-6

Anji Yang, Sanling Yuan, Tonghua Zhang

{"title":"Environmental Stochasticity Driving the Extinction of Top Predators in a Food Chain Chemostat Model","authors":"Anji Yang, Sanling Yuan, Tonghua Zhang","doi":"10.1007/s00332-024-10026-6","DOIUrl":"https://doi.org/10.1007/s00332-024-10026-6","url":null,"abstract":"Understanding the process of extinction in natural populations is crucial for the preservation of ecosystem stability and biodiversity, both theoretically and practically. The risk of extinction in these populations is often influenced by environmental stochasticity, which has a significant impact on birth and mortality rates. In this study, we propose a tri-trophic food chain model that incorporates random disturbances in the environment, represented by a chemostat, which is an ideal mathematical model for simulating diverse ecosystems. In the absence of noise, the model exhibits two types of bistability, indicating that the stochastic system has two distinct paths to extinction: from a stationary state or from an oscillatory state. For each type, we determine the tipping value of environmental stochasticity that leads to the extinction of top predators by constructing confidence regions for the corresponding coexisting attractor. Furthermore, we observe a high skewness and heavy-tailed distribution of extinction times for intermediate and high levels of environmental stochasticity, consistent with empirical data. To analyze extinction times, we employ the Lévy distribution, a statistical model that describes power-law tail distributions. Our findings demonstrate that, for a fixed dilution rate, increasing environmental stochasticity reduces the average extinction time, thereby accelerating species extinction. Additionally, for a certain level of stochasticity, the average extinction time decreases with the magnitude of the dilution rate due to the heavy-tailed nature of the extinction time distribution.","PeriodicalId":50111,"journal":{"name":"Journal of Nonlinear Science","volume":"72 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575945","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Nonlinear Feedback, Double-bracket Dissipation and Port Control of Lie–Poisson Systems Lie-Poisson 系统的非线性反馈、双支架耗散和端口控制

IF 3 2区数学

Journal of Nonlinear Science Pub Date : 2024-04-05 DOI: 10.1007/s00332-024-10031-9

Simon Hochgerner

引用次数: 0

Multiple Higher-Order Pole Solutions in Spinor Bose–Einstein Condensates 旋子玻色-爱因斯坦凝聚态中的多重高阶极解

IF 3 2区数学

Journal of Nonlinear Science Pub Date : 2024-04-01 DOI: 10.1007/s00332-024-10024-8

引用次数: 0

General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity 广义相对论拉格朗日连续理论第一部分：流体力学和弹性的简化变量原理和交界条件

IF 3 2区数学

Journal of Nonlinear Science Pub Date : 2024-03-19 DOI: 10.1007/s00332-024-10019-5

François Gay-Balmaz

{"title":"General Relativistic Lagrangian Continuum Theories Part I: Reduced Variational Principles and Junction Conditions for Hydrodynamics and Elasticity","authors":"François Gay-Balmaz","doi":"10.1007/s00332-024-10019-5","DOIUrl":"https://doi.org/10.1007/s00332-024-10019-5","url":null,"abstract":"We establish a Lagrangian variational framework for general relativistic continuum theories that permits the development of the process of Lagrangian reduction by symmetry in the relativistic context. Starting with a continuum version of the Hamilton principle for the relativistic particle, we deduce two classes of reduced variational principles that are associated to either spacetime covariance, which is an axiom of the continuum theory, or material covariance, which is related to particular properties of the system such as isotropy. The covariance hypotheses and the Lagrangian reduction process are efficiently formulated by making explicit the dependence of the theory on given material and spacetime tensor fields that are transported by the world-tube of the continuum via the push-forward and pull-back operations. It is shown that the variational formulation, when augmented with the Gibbons–Hawking–York (GHY) boundary terms, also yields the Israel–Darmois junction conditions between the solution at the interior of the relativistic continua and the solution describing the gravity field produced outside from it. The expression of the first variation of the GHY term with respect to the hypersurface involves some extensions of previous results that we also derive in the paper. We consider in detail the application of the variational framework to relativistic fluids and relativistic elasticity. For the latter case, our setting also allows to clarify the relation between formulations of relativistic elasticity based on the relativistic right Cauchy-Green tensor or on the relativistic Cauchy deformation tensor. The setting developed here will be further exploited for modeling purpose in subsequent parts of the paper.","PeriodicalId":50111,"journal":{"name":"Journal of Nonlinear Science","volume":"25 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2024-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140167717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis 润湿/脱湿问题的正规化模型：正相关性和渐近分析

IF 3 2区数学

Journal of Nonlinear Science Pub Date : 2024-03-18 DOI: 10.1007/s00332-024-10020-y

Zeyu Zhou, Wei Jiang, Zhen Zhang

{"title":"A Regularized Model for Wetting/Dewetting Problems: Positivity and Asymptotic Analysis","authors":"Zeyu Zhou, Wei Jiang, Zhen Zhang","doi":"10.1007/s00332-024-10020-y","DOIUrl":"https://doi.org/10.1007/s00332-024-10020-y","url":null,"abstract":"We consider a general regularized variational model for simulating wetting/dewetting phenomena arising from solids or fluids. The regularized model leads to the appearance of a precursor layer which covers the bare substrate, with the precursor height depending on the regularization parameter (varepsilon ). This model enjoys lots of advantages in analysis and simulations. With the help of the precursor layer, the spatial domain is naturally extended to a larger fixed one in the regularized model, which leads to both analytical and computational eases. There is no need to explicitly track the contact line motion, and difficulties arising from free boundary problems can be avoided. In addition, topological change events can be automatically captured. Under some mild and physically meaningful conditions, we show the positivity-preserving property of the minimizers of the regularized model. By using formal asymptotic analysis and (Gamma )-limit analysis, we investigate the convergence relations between the regularized model and the classical sharp-interface model. Finally, numerical results are provided to validate our theoretical analysis, as well as the accuracy and efficiency of the regularized model.","PeriodicalId":50111,"journal":{"name":"Journal of Nonlinear Science","volume":"22 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140167574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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

Convergence to Sharp Traveling Waves of Solutions for Burgers-Fisher-KPP Equations with Degenerate Diffusion 具有退化扩散的伯格斯-费舍尔-KPP方程的解趋近于尖锐游波

IF 3 2区数学

Journal of Nonlinear Science Pub Date : 2024-03-16 DOI: 10.1007/s00332-024-10021-x

Tianyuan Xu, Shanming Ji, Ming Mei, Jingxue Yin

引用次数: 0

On the Doubly Non-local Hele-Shaw–Cahn–Hilliard System: Derivation and 2D Well-Posedness 关于双非局域 Hele-Shaw-Cahn-Hilliard 系统：推导与二维拟合

IF 3 2区数学

Journal of Nonlinear Science Pub Date : 2024-03-15 DOI: 10.1007/s00332-024-10018-6

引用次数: 0

On the Trajectory of a Light Small Rigid Body in an Incompressible Viscous Fluid 论不可压缩粘性流体中轻质小刚体的轨迹

IF 3 2区数学

Journal of Nonlinear Science Pub Date : 2024-03-15 DOI: 10.1007/s00332-024-10022-w

Marco Bravin, Šárka Nečasová

引用次数: 0

Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment 在异质环境中含 DNA 头壳的退化扩散型 HBV 感染模型的阈值动态变化

IF 3 2区数学

Journal of Nonlinear Science Pub Date : 2024-03-14 DOI: 10.1007/s00332-024-10017-7

Yu Yang, Cheng-Hsiung Hsu, Lan Zou, Jinling Zhou

引用次数: 0

Curvature Driven Complexity in the Defocusing Parametric Nonlinear Schrödinger System 离焦参数非线性薛定谔系统中曲率驱动的复杂性

IF 3 2区数学

Journal of Nonlinear Science Pub Date : 2024-02-28 DOI: 10.1007/s00332-024-10016-8

Keith Promislow, Abba Ramadan

引用次数: 0