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Discrete and Continuous Dynamical Systems-Series B最新文献

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Stability analysis of an age-structured SIR model with nonlocal diffusion and indirect contacts 具有非局部扩散和间接接触的年龄结构 SIR 模型的稳定性分析
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-11-17 DOI: 10.3934/dcdsb.2023191
Nikhil Chanauria, Syed Abbas
{"title":"Stability analysis of an age-structured SIR model with nonlocal diffusion and indirect contacts","authors":"Nikhil Chanauria, Syed Abbas","doi":"10.3934/dcdsb.2023191","DOIUrl":"https://doi.org/10.3934/dcdsb.2023191","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"80 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025800","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
Hopf-Hopf bifurcation in a predator-prey model with nonlocal competition and refuge in prey 捕食者-猎物模型中的霍普夫-霍普夫分岔与非局部竞争和猎物避难所
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-11-17 DOI: 10.3934/dcdsb.2023193
Yuxin Ma, Ruizhi Yang
{"title":"Hopf-Hopf bifurcation in a predator-prey model with nonlocal competition and refuge in prey","authors":"Yuxin Ma, Ruizhi Yang","doi":"10.3934/dcdsb.2023193","DOIUrl":"https://doi.org/10.3934/dcdsb.2023193","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"2012 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025808","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
Global existence in a two-species chemotaxis system with signal-dependent sensitivity and logistic source 具有信号敏感性和逻辑源的双物种趋化系统中的全局性存在
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-11-09 DOI: 10.3934/dcdsb.2023102
Axiu Shu
{"title":"Global existence in a two-species chemotaxis system with signal-dependent sensitivity and logistic source","authors":"Axiu Shu","doi":"10.3934/dcdsb.2023102","DOIUrl":"https://doi.org/10.3934/dcdsb.2023102","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"22 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025952","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
Random attractors and invariant measures for stochastic convective Brinkman-Forchheimer equations on 2D and 3D unbounded domains 二维和三维无界域上的随机对流布林克曼-福克海默方程的随机吸引子和不变度量
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-11-09 DOI: 10.3934/dcdsb.2023100
Kush Kinra, Manil T. Mohan
{"title":"Random attractors and invariant measures for stochastic convective Brinkman-Forchheimer equations on 2D and 3D unbounded domains","authors":"Kush Kinra, Manil T. Mohan","doi":"10.3934/dcdsb.2023100","DOIUrl":"https://doi.org/10.3934/dcdsb.2023100","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"106 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140025793","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
Large deviation principles of stochastic reaction-diffusion lattice systems 随机反应-扩散晶格系统的大偏差原理
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-05-11 DOI: 10.3934/dcdsb.2023135
Bixiang Wang
{"title":"Large deviation principles of stochastic reaction-diffusion lattice systems","authors":"Bixiang Wang","doi":"10.3934/dcdsb.2023135","DOIUrl":"https://doi.org/10.3934/dcdsb.2023135","url":null,"abstract":"This paper is concerned with the large deviation principle of the stochastic reaction-diffusion lattice systems defined on the N-dimensional integer set, where the nonlinear drift term is locally Lipschitz continuous with polynomial growth of any degree and the nonlinear diffusion term is locally Lipschitz continuous with linear growth. We first prove the convergence of the solutions of the controlled stochastic lattice systems, and then establish the large deviations by the weak convergence method based on the equivalence of the large deviation principle and the Laplace principle.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"8 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83878756","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: 1
Compactification method in linear programming approach to infinite-horizon optimal control problems with a noncompact state constraint 具有非紧态约束的无限视界最优控制问题线性规划中的紧化方法
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-04-24 DOI: 10.3934/dcdsb.2023087
I. Shvartsman
{"title":"Compactification method in linear programming approach to infinite-horizon optimal control problems with a noncompact state constraint","authors":"I. Shvartsman","doi":"10.3934/dcdsb.2023087","DOIUrl":"https://doi.org/10.3934/dcdsb.2023087","url":null,"abstract":"This paper is devoted to a study of infinite horizon optimal control problems with time discounting and time averaging criteria in discrete time. It is known that these problems are related to certain infinite-dimensional linear programming problems, but compactness of the state constraint is a common assumption imposed in analysis of these LP problems. In this paper, we consider an unbounded state constraint and use Alexandroff compactification to carry out the analysis. We also establish asymptotic relationships between the optimal values of problems with time discounting and long-run average criteria.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"42 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90691859","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
Blow-up prevention by sub-logistic sources in Keller-Segel cross diffusion type system Keller-Segel交叉扩散型系统的次逻辑源防爆
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-03-11 DOI: 10.3934/dcdsb.2023114
M. Le
{"title":"Blow-up prevention by sub-logistic sources in Keller-Segel cross diffusion type system","authors":"M. Le","doi":"10.3934/dcdsb.2023114","DOIUrl":"https://doi.org/10.3934/dcdsb.2023114","url":null,"abstract":"The focus of this paper is on solutions to a two-dimensional Keller-Segel system containing sub-logistic sources. We show that the presence of sub-logistic terms is adequate to prevent blow-up phenomena even in strongly degenerate Keller-Segel systems. Our proof relies on several techniques, including parabolic regularity theory in Orlicz spaces, variational arguments, interpolation inequalities, and the Moser iteration method.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"19 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87930475","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: 1
The aggregation-diffusion equation with energy critical exponent 具有能量临界指数的聚集-扩散方程
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-02-19 DOI: 10.3934/dcdsb.2023126
S. Bian
{"title":"The aggregation-diffusion equation with energy critical exponent","authors":"S. Bian","doi":"10.3934/dcdsb.2023126","DOIUrl":"https://doi.org/10.3934/dcdsb.2023126","url":null,"abstract":"We consider a Keller-Segel model with non-linear porous medium type diffusion and nonlocal attractive power law interaction, focusing on potentials that are less singular than Newtonian interaction. Here, the nonlinear diffusion is chosen to be $m=frac{2d}{d+2s}$ in such a way that the associated free energy is conformal invariant and there is a family of stationary solutions $U(x)=cleft(frac{lambda}{lambda^2+|x-x_0|^2}right)^{frac{d+2s}{2}}$ for any constant $c$ and some $lambda>0, x_0 in R^d.$ We analyze under which conditions on the initial data the regime that attractive forces are stronger than diffusion occurs and classify the global existence and finite time blow-up of dynamical solutions by virtue of stationary solutions. Precisely, solutions exist globally in time if the $L^m$ norm of the initial data $|u_0|_{L^m(R^d)}$ is less than the $L^m$ norm of stationary solutions $|U(x)|_{L^m(R^d)}$. Whereas there are blowing-up solutions for $|u_0|_{L^m(R^d)}>|U(x)|_{L^m(R^d)}$.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"24 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86522724","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: 2
A variety of globally stable periodic orbits in permutation binary neural networks 置换二元神经网络中各种全局稳定周期轨道
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-07 DOI: 10.3934/dcdsb.2023078
Mikito Onuki, Kento Saka, Toshimichi Saito
{"title":"A variety of globally stable periodic orbits in permutation binary neural networks","authors":"Mikito Onuki, Kento Saka, Toshimichi Saito","doi":"10.3934/dcdsb.2023078","DOIUrl":"https://doi.org/10.3934/dcdsb.2023078","url":null,"abstract":"The permutation binary neural networks are characterized by global permutation connections and local binary connections. Although the parameter space is not large, the networks exhibit various binary periodic orbits. Since analysis of all the periodic orbits is not easy, we focus on globally stable binary periodic orbits such that almost all initial points fall into the orbits. For efficient analysis, we define the standard permutation connection that represents multiple equivalent permutation connections. Applying the brute force attack to 7-dimensional networks, we present the main result: a list of standard permutation connections for all the globally stable periodic orbits. These results will be developed into detailed analysis of the networks and its engineering applications.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"13 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85030814","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: 2
The parabolic fractal dimension for the co-rotational Beris-Edwards system 共旋转Beris-Edwards系统的抛物分形维数
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023134
Zhongbao Zuo
{"title":"The parabolic fractal dimension for the co-rotational Beris-Edwards system","authors":"Zhongbao Zuo","doi":"10.3934/dcdsb.2023134","DOIUrl":"https://doi.org/10.3934/dcdsb.2023134","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"25 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72412073","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
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