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Discrete and Continuous Dynamical Systems-Series B最新文献

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Singular perturbation approach to a plankton model generating harmful algal bloom 产生有害藻华的浮游生物模型的奇异摄动方法
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023091
H. Ikeda
{"title":"Singular perturbation approach to a plankton model generating harmful algal bloom","authors":"H. Ikeda","doi":"10.3934/dcdsb.2023091","DOIUrl":"https://doi.org/10.3934/dcdsb.2023091","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"10 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87306653","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 solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping 一类弱阻尼非线性双曲型方程耦合系统的全局解与爆破
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023105
Han Ding, Jun Zhou
{"title":"Global solutions and blow-up for a coupled system of nonlinear hyperbolic equations with weak damping","authors":"Han Ding, Jun Zhou","doi":"10.3934/dcdsb.2023105","DOIUrl":"https://doi.org/10.3934/dcdsb.2023105","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81054818","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
On the delayed vector-bias malaria model in an almost periodic environment 几乎周期性环境下的延迟向量偏差疟疾模型
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023010
Bing He, Lizhong Qiang
{"title":"On the delayed vector-bias malaria model in an almost periodic environment","authors":"Bing He, Lizhong Qiang","doi":"10.3934/dcdsb.2023010","DOIUrl":"https://doi.org/10.3934/dcdsb.2023010","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"52 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81879809","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
Topological equivalence of global attractors for Lipschitz perturbations of the Chafee-Infante equation Chafee-Infante方程Lipschitz摄动的全局吸引子拓扑等价
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023027
M. Bortolan, L. Pires
{"title":"Topological equivalence of global attractors for Lipschitz perturbations of the Chafee-Infante equation","authors":"M. Bortolan, L. Pires","doi":"10.3934/dcdsb.2023027","DOIUrl":"https://doi.org/10.3934/dcdsb.2023027","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"54 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82106935","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
Least squares estimators for stochastic differential equations with Markovian switching 具有马尔可夫切换的随机微分方程的最小二乘估计
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2022258
Yu Zhen, F. Xi
{"title":"Least squares estimators for stochastic differential equations with Markovian switching","authors":"Yu Zhen, F. Xi","doi":"10.3934/dcdsb.2022258","DOIUrl":"https://doi.org/10.3934/dcdsb.2022258","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"39 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72461491","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
Bang-bang optimal controls for a mathematical model of chemo- and immunotherapy in cancer 癌症化疗和免疫治疗数学模型的Bang-bang最优控制
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023141
U. Ledzewicz, H. Maurer, H. Schättler
{"title":"Bang-bang optimal controls for a mathematical model of chemo- and immunotherapy in cancer","authors":"U. Ledzewicz, H. Maurer, H. Schättler","doi":"10.3934/dcdsb.2023141","DOIUrl":"https://doi.org/10.3934/dcdsb.2023141","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"65 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74908622","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
An optimization method for treating solid tumors with combined therapy using the Great Deluge algorithm 基于大洪水算法的实体瘤联合治疗优化方法
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023143
A. Glick, A. Mastroberardino
{"title":"An optimization method for treating solid tumors with combined therapy using the Great Deluge algorithm","authors":"A. Glick, A. Mastroberardino","doi":"10.3934/dcdsb.2023143","DOIUrl":"https://doi.org/10.3934/dcdsb.2023143","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88253966","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 uniform exponential attractors for non-autonomous stochastic discrete long wave-short wave resonance equations 非自治随机离散长波-短波共振方程的随机均匀指数吸引子
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023077
Rou Lin, Min Zhao
{"title":"Random uniform exponential attractors for non-autonomous stochastic discrete long wave-short wave resonance equations","authors":"Rou Lin, Min Zhao","doi":"10.3934/dcdsb.2023077","DOIUrl":"https://doi.org/10.3934/dcdsb.2023077","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89541872","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
Oscillations and coexistence generated by discrete delays in a two-species competition model 两物种竞争模型中离散时滞产生的振荡与共存
4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023156
Xiaolan Wang, Chanaka Kottegoda, Chunhua Shan, Qihua Huang
{"title":"Oscillations and coexistence generated by discrete delays in a two-species competition model","authors":"Xiaolan Wang, Chanaka Kottegoda, Chunhua Shan, Qihua Huang","doi":"10.3934/dcdsb.2023156","DOIUrl":"https://doi.org/10.3934/dcdsb.2023156","url":null,"abstract":"One of the shortcomings of the classical Lotka-Volterra competition model is that both species' births are assumed to be instantaneous, whereas developmental and maturation processes may cause time delays. We extend the Lotka-Volterra competition model to a delayed model based on a single species delayed model in this paper. The effects of two discrete delays on competition outcomes are investigated. Our theoretical and numerical results show that delays can cause the loss of stability of equilibria and the emergence of periodic solutions (i.e., population density oscillations) via Hopf bifurcation, lead to exclusion by changing the stability of coexistence equilibrium, and boost coexistence even if the coexistence equilibrium point does not exist.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135595503","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
Quantized vortex dynamics of the nonlinear wave equation on the torus 环面上非线性波动方程的量化涡动力学
4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023188
Yongxing Zhu
{"title":"Quantized vortex dynamics of the nonlinear wave equation on the torus","authors":"Yongxing Zhu","doi":"10.3934/dcdsb.2023188","DOIUrl":"https://doi.org/10.3934/dcdsb.2023188","url":null,"abstract":"We rigorously derive the reduced dynamical law for quantized vortex dynamics of the nonlinear wave equation on the torus when the core size of vortex $ varepsilonto 0 $. It is proved that the reduced dynamical law is a system consisting of second-order nonlinear ordinary differential equations driven by the renormalized energy on the torus, and the initial data of the reduced dynamical law is determined by the positions of vortices and the limit momentum of the solution of the nonlinear wave equation. We will also investigate the effect of the limit momentum on the vortex dynamics via numerical simulation.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135709286","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
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