牛磊

基本信息姓名牛磊
职称特聘研究员
联系方式见学院黄页
电子邮件lei.niu@dhu.edu.cn
研究方向应用动力系统、单调和竞争动力系统、生物数学
个人简介牛磊,理学博士,东华大学特聘研究员,博士生导师。主要研究兴趣包括连续、离散、随机动力系统的长时间动力学,特别是系统的整体动力学以及非平凡动力学(如周期轨、拟周期轨、异宿环、混沌等)的存在性及其产生机制。代表性成果发表在《JMPA》,《Nonlinearity》,《SIADS》,《JDE》,《JMB》,《DCDS-A》,《Physica D》等。
工作经历起止年月单位职称/职务
2020/11-至今东华大学特聘研究员
2016/10-2019/12芬兰赫尔辛基大学博士后(合作导师:Mats Gyllenberg)
学习经历起止年月学校专业学位/学历
2012/09-2016/06上海师范大学应用数学博士(导师:蒋继发)
2008/09-2012/06同济大学基础数学硕士(导师:蒋继发)
2004/09-2008/06烟台大学数学与应用数学学士
代表性论文(Selected Publications)
(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 and Jifa Jiang) A note on global stability of three-dimensional Ricker models, Journal of Difference Equations and Applications, 25 (2019), 142–150.
(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 Qiang Liu) Theoretical investigation on models of circadian rhythms based on dimerization and proteolysis of PER and TIM, Mathematical Biosciences and Engineering, 14 (2017), 1247–1259.
(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.
(with Jifa Jiang and Daojun Zhu) On the complete classification of nullcline stable competitive three-dimensional Gompertz models, Nonlinear Analysis: R. W. A., 20 (2014), 21–35.
(with Jifa Jiang) The dynamical behavior on the carrying simplex of a three-dimensional competitive system: II. Hyperbolic structure saturation, International Journal of Biomathematics, 07 (2014), 1450002.
(with Jifa Jiang) The theorem of the carrying simplex for competitive system defined on the n-rectangle and its application to a three-dimensional system, International Journal of Biomathematics, 07 (2014), 1450063.
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)