牛磊

基本信息 姓名 牛磊
職稱 特聘研究員
聯系方式 見學院黃頁
電子郵件 lei.niu@dhu.edu.cn
研究方向 應用動力系統、單調和競争動力系統、生物數學
個人簡介 牛磊,理學博士,東華大學特聘研究員,博士生導師。主要研究興趣包括連續、離散、随機動力系統的長時間動力學,特别是系統的整體動力學以及非平凡動力學(如周期軌、拟周期軌、異宿環、混沌等)的存在性及其産生機制。代表性成果發表在《JMPA》,《Nonlinearity》,《SIADS》,《JDE》,《JMB》,《DCDS-A》,《Physica D》等。
工作經曆 起止年月 單位 職稱/職務
2020/11-至今 東華大學 特聘研究員
2016/10-2019/12 芬蘭赫爾辛基大學 博士後(合作導師:Mats Gyllenberg)
學習經曆 起止年月 學校 專業 學位/學曆
2012/09-2016/06 上海師範大學 應用數學 博士(導師:蔣繼發)
2008/09-2012/06 同濟大學 基礎數學 碩士(導師:蔣繼發)
2004/09-2008/06 煙台大學 數學與應用數學 學士
代表性論文(Selected Publications)
(with Yi Wang and Xizhuang Xie) The dynamics of Lotka-Volterra competition models with seasonal succession: II. Uniqueness of the positive fixed point, submitted.
(with Yi Wang and Xizhuang Xie) The dynamics of Lotka-Volterra competition models with seasonal succession: I. Classification of 3-dimensional models, submitted.
(with Yi Wang and Xizhuang Xie) Classification of permanence and impermanence for a Lotka-Volterra model of three competing species with seasonal succession, submitted.
Permanence for continuous-time competitive Kolmogorov systems via the carrying simplex, submitted.
(with Alfonso Ruiz-Herrera) Simple dynamics in non-monotone Kolmogorov systems, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 153 (2023) , 369–384.
(with Mats Gyllenberg, Jifa Jiang and Ping Yan) Permanence and universal classification of discrete-time competitive systems via the carrying simplex, Discrete and Continuous Dynamical Systems-A, 40 (2020), 1621–1663.
(with Mats Gyllenberg and Jifa Jiang) Chaotic attractors in the four-dimensional Leslie–Gower competition model, Physica D: Nonlinear Phenomena, 402 (2020), 132186.
(with Mats Gyllenberg and Jifa Jiang) Chaotic attractors in Atkinson–Allen model of four competing species, Journal of Biological Dynamics, 14 (2020), 440–453.
(with Lifeng Chen, Zhao Dong, Jifa Jiang and Jianliang Zhai) Decomposition formula and stationary measures for stochastic Lotka–Volterra systems with applications to turbulent convection, Journal de Mathématiques Pures et Appliquées, 125 (2019), 43–93.
(with Janusz Mierczyński and Alfonso Ruiz-Herrera) Linearization and invariant manifolds on the carrying simplex for competitive maps, Journal of Differential Equations, 267 (2019), 7385–7410.
(with Mats Gyllenberg, Jifa Jiang and Ping Yan) On the dynamics of multi-species Ricker models admitting a carrying simplex, Journal of Difference Equations and Applications, 25 (2019), 1489–1530.
(with Alfonso Ruiz-Herrera) Trivial dynamics in discrete-time systems: carrying simplex and translation arcs, Nonlinearity, 31 (2018), 2633–2650.
(with Mats Gyllenberg, Jifa Jiang and Ping Yan) On the classification of generalized competitive Atkinson–Allen models via the dynamics on the boundary of the carrying simplex, Discrete and Continuous Dynamical Systems-A, 38 (2018), 615–650.
(with Jifa Jiang) On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex, Journal of Mathematical Biology, 74 (2017), 1223–1261.
(with Jifa Jiang) On the validity of Zeeman’s classification for three dimensional competitive differential equations with linearly determined nullclines, Journal of Differential Equations, 263 (2017), 7753–7781.
(with Jifa Jiang and Yi Wang) On heteroclinic cycles of competitive maps via carrying simplices, Journal of Mathematical Biology, 72 (2016), 939–972.
(with Jifa Jiang) On the equivalent classification of three-dimensional competitive Atkinson/Allen models relative to the boundary fixed points, Discrete and Continuous Dynamical Systems-A, 36 (2016), 217–244.
(with Xiaojing Chen and Jifa Jiang) On Lotka–Volterra equations with identical minimal intrinsic growth rate, SIAM Journal on Applied Dynamical Systems, 14 (2015), 1558–1599.
Mathematicians I have had the honor to collaborate with
Zhao Dong (Chinese Academy of Sciences)
Mats Gyllenberg (University of Helsinki)
Jifa Jiang (Shanghai Normal University)
Janusz Mierczyński (Wrocław University of Science and Technology)
Alfonso Ruiz-Herrera (Universidad de Oviedo)
Yi Wang (University of Science and Technology of China)
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