Lei Niu
Professor, Department of Mathematics
Donghua University, Shanghai 201620, China
Phone: 0086 67792115 Email: lei.niu[at]dhu.edu.cn
Research interests
- Carrying simplex theory for competitive dynamical systems
- Global dynamics for ecological systems
- SDEs and random dynamical systems
- Aperiodic behavior, chaos and strange attractor
- Ecological modelling and adaptive dynamics
- Evolutionary game theory
Selected publications
2020
- (with M. Gyllenberg, J. Jiang and P. Yan): Permanence and universal classification for discrete-time competitive systems via the carrying simplex, Discrete Contin. Dyn. Syst., 40 (2020), 1621–1663.
- (with M. Gyllenberg and J. Jiang): Chaotic attractors in the four-dimensional Leslie–Gower competition model, Physica D: Nonlinear Phenomena , 402 (2020), 132186.
2019
- (with J. Mierczyński and A. Ruiz-Herrera): Linearization and invariant manifolds on the carrying simplex for competitive maps, J. Differential Equations, 267 (2019), 7385–7410.
- (with L. Chen, Z. Dong, J. Jiang and J. Zhai): Decomposition formula and stationary measures for stochastic Lotka-Volterra system with applications to turbulent covection, J. Math. Pures Appl., 125 (2019), 43–93.
- (with M. Gyllenberg and J. Jiang): A note on global stability of three-dimensional Ricker models, Journal of Difference Equations and Applications, 25 (2019), 142–150.
2018
- (with M. Gyllenberg, J. Jiang and P. Yan): On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex, Discrete Contin. Dyn. Syst., 38 (2018), 615–650.
- (with A. Ruiz-Herrera): Trivial dynamics in discrete-time systems: carrying simplex and translation arcs, Nonlinearity, 31 (2018), 2633–2650.
2017
- (with J. Jiang): On the validity of Zeeman's classification for three dimensional competitive differential equations with linearly determined nullclines, J. Differential Equations, 263 (2017), 7753–7781.
- (with J. Jiang): On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex, J. Math. Biol., 74 (2017), 1223–1261.
2016
- (with J. Jiang and Y. Wang): On heteroclinic cycles of competitive maps via carrying simplices, J. Math. Biol., 72 (2016), 939–972.
2015
- (with X. Chen and J. Jiang): On Lotka–Volterra equations with identical minimal intrinsic growth rate, SIAM J. Appl. Dyn. Syst., 14 (2015), 1558–1599.
