Selected publications on wave front dynamics in continuous/discrete media
Vanishing-spreading dichotomy in a two-species chemotaxis
competition system with a free boundary (with Lianzhang Bao)
(Pdf )
Propagation phenomena for time-space periodic monotone semiflows and applications
to cooperative systems in multi-dimensional media (with Lijun Du and Wan-Tong Li)
(Pdf)
Spreading speeds of a parabolic-parabolic chemotaxis model with
logistic source on R^N (with Shuwen Xue)
(Pdf )
Population dynamics under
climate change: persistence criterion and effects of fluctuations (with Zhongwei Shen, Shuwen Xue and Dun Zhou)
(Pdf)
Traveling wave solutions for two species competitive chemotaxis systems (with T.B. Issa and R.B. Rachidi)
(Pdf )
Forced waves of parabolic-elliptic Keller-Segel models in shifting environments
(with Shuwen Xue) (Pdf )
Persistence and Extinction of Nonlocal Dispersal Evolution Equations in Moving Habitats
(with Patrick De Leenheer and Aijun Zhang) (Pdf )
On traveling wave solutions in full parabolic Keller-Segel chemotaxis systems with logistic source
(with Rachidi Salako)
(Pdf )
Logistic type attraction-repulsion chemotaxis systems with a free boundary or unbounded boundary.
II. Spreading-vanishing dichotomy in a domain with a free boundary (with Lianzhang Bao)
(Pdf )
Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic
Keller-Segel systems with logistic source? (with Rachidi Salako and Shuwen Xue)
(Pdf )
Logistic type attraction-repulsion chemotaxis systems with a free boundary or unbounded boundary.
I. Asymptotic dynamics in fixed unbounded domain (with Lianzhang Bao)
(Pdf )
Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on R^N. III. Transition fronts (with Rachidi Salako)
(Pdf )
Long time behavior of random and nonautonomous Fisher-KPP equations. Part II. Transition fronts
(with Rachidi B. Salako) (Pdf )
Long time behavior of random and nonautonomous Fisher-KPP equations. Part I. Stability of equilibria and spreading speeds
(with Rachidi B. Salako) (Pdf )
Effects of localized spatial variations on the uniform persistence and spreading speeds of time periodic
two species competition systems (with Liang Kong and Tung Nguyen)
(Pdf )
Spreading speeds and traveling waves for space-time periodic nonlocal dispersal cooperative systems
(with Xiongxiong Bao and Zhongwei Shen, Commun. Pure Appl. Anal. 18 (2019), no. 1, 361-396)
(Pdf )
Spreading speeds and linear
determinacy of time dependent diffusive cooperative/competitive systems
(with Xiongxiong Bao, Wan-Tong Li, and Zhi-Cheng Wang, J. Differential Equations 265 (2018), no. 7, 3048-3091)
(Pdf )
Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on R^N. I. Persistence and asymptotic spreading
(with Rachidi B. Salako) (Pdf )
Spreading speeds and traveling waves for space-time periodic nonlocal dispersal cooperative systems, submitted. (with Xiongxiong Bao and Zhongwei Shen)
Existence of Traveling wave solutions to parabolic-elliptic-elliptic chemotaxis systems with logistic source
(with Rachidi B. Salako) (Pdf )
Stability and uniqueness of generalized traveling waves of lattice Fisher-KPP equations in heterogeneous media
(with Feng Cao) (Pdf )
Global classical solutions, stability of constant equilibria, and spreading speeds in attraction-repulsion chemotaxis systems
with logistic source on R^N
(with Rachidi B. Salako) (Pdf )
Existence of Traveling wave solutions of parabolic-parabolic chemotaxis systems (with Rachidi B. Salako)
(Pdf )
Spreading Speeds and Traveling waves of a parabolic-elliptic chemotaxis system with logistic source on R^N
(with Rachidi Salako) (Pdf )
Stability of transition waves and positive entire solutions of Fisher-KPP equations with time and space dependence
( Pdf )
Spreading speeds and transition fronts of lattice KPP equations in time heterogeneous media (with Feng Cao).
( Pdf )
Traveling Wave Solutions of Lotka-Volterra Competition Systems with Nonlocal Dispersal in Periodic Habitats
(with Xiongxiong Bao and Wan-Tong Li, J. Differential Equations 260 (2016), no. 12, 8590–8637)
(Pdf)
Diffusive KPP Equations with Free Boundaries in Time Almost Periodic Environments: I. Spreading and Vanishing Dichotomy
(with Fang Li and Xing Liang, Discrete Contin. Dyn. Syst. 36 (2016), no. 6, 3317–3338)
( Pdf )
Diffusive KPP Equations with Free Boundaries in Time Almost Periodic Environments: II. Spreading Speeds and Semi-Wave
(with Fang Li and Xing Liang, J. Differential Equations 261 (2016), no. 4, 2403–2445) ( Pdf )
Transition fronts in nonlocal Fisher-KPP equations in time heterogeneous media
(with Zhongwei Shen, Commun. Pure Appl. Anal. 15 (2016), no. 4, 1193–1213) ( Pdf )
Existence, uniqueness and stability of transition fronts of nonlocal equations in time heterogeneous bistable media
(with Zhongwei Shen) ( Pdf )
Regularity of transition fronts in nonlocal dispersal evolution equations
(with Zhongwei Shen) ( Pdf )
Regularity and stability of transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity
(with Zhongwei Shen) ( Pdf )
Transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity (with Zhongwei Shen)
( Pdf )
Spreading Speeds and Linear Determinacy for Two Species Competition Systems with Nonlocal Dispersal in Periodic Habitats
(with Liang Kong and Nar Rawal) (Pdf )
Transition fronts in time heterogeneous and random media of ignition type (with Zhongwei Shen)
( Pdf )
Stability, Uniqueness and Recurrence of Generalized Traveling Waves in Time Heterogeneous Media of Ignition Type (with Zhongwei Shen) ( Pdf )
Spreading Speeds and Traveling Waves of Nonlocal Monostable Equations
in Time and Space Periodic Habitats (with Nar Rawal and Aijun Zhang)
( Pdf )
Liouville Type Property and Spreading Speeds of KPP Equations
in Periodic Media with Localized Spatial Inhomogeneity
(with Liang Kong) ( Pdf )
Positive Stationary Solutions and Spreading Speeds of KPP Equations
in Locally Spatially Inhomogeneous Media (with Liang Kong) Methods and Applications of Analysis ,
18 (2011), 427-456
( Pdf )
Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations
(with Aijun Zhang) Communications on Applied Nonlinear Analysis ,
19 (2012), 73-101 ( Pdf)
Stationary Solutions and Spreading Speeds of Nonlocal Monostable Equations
in Space Periodic Habitats (with Aijun Zhang), Proc. Amer. Math. Soc., 140 (2012), 1681-1696
( Abstract)
Existence of
Generalized Traveling Waves in Time Recurrent and Space Periodic Monostable Equations,
Journal of Applied Mathematics and Computation, 1 (2011), 69-94.
( Pdf)
Existence, Uniqueness, and Stability of
Generalized Traveling Waves in Time Dependent Monostable Equations, Journal of Dynamics and Differential
Equations, 23 (2011), 1-44.
Effects of Spatial Variations and Dispersal Strategies on
Principal Eigenvalues of Dispersal Operators and Spreading Speeds of Monostable Equations
(with Georg Hetzer and Aijun Zhang),
The Rocky Mountain Journal of Mathematics, to appear
( Abstract)
Spreading Speeds for Monostable Equations
with Nonlocal Dispersal in Space Periodic Habitats (with Aijun Zhang),
Journal of Differential Equations,
249 (2010), 747-795.
Variational Principle for Spatial Spreading Speeds
and Generalized Propagating Speeds in Time Almost Periodic and Space
Periodic KPP Models,
Transactions of the American Mathematical Society, 362 (2010), 5125-5168.
Spreading and Generalized Propagating Speeds of Discrete KPP Models in
Time Varying Environments, Frontiers of Mathematics in China,
4 (3)
(2009), 523-562.
Speeds of Spread and Propagation for KPP Models
in Time Almost and Space Periodic Media (with Jianhua Huang),
SIAM Journal on Applied Dynamical Systems, 8
(2009), 790-821.
Traveling Waves in Time Dependent Bistable Media,
Differential and Integral Equations, 19
(2006), 241-278.
Traveling Waves in Diffusive Random Media,
Journal of Dynamics and Differential Equations, 16
(2004),
1011-1060.
Traveling Waves in Time Periodic Lattice Dynamical Systems,
Nonlinear Analysis, 54
(2003), 319-339.
Dynamical Systems and Traveling Waves in Almost Periodic Structures ,
J. Diff. Equations, 169
(2001), 493-548.
Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities,
II. Existence,
J. Diff. Equations, 159
(1999), 55-101.
Traveling Waves in Time Almost Periodic Structures Governed by Bistable Nonlinearities,
I. Stability and Uniqueness,
J. Diff. Equations, 159
(1999), 1-54.
Traveling Waves in Cellular Neural Networks (with C.-H. Hsu and S.-S. Lin),
International Journal of Bifurcation and Chaos, 9
(1999), 1307-1319.
Traveling Waves in Lattice Dynamical Systems (with S.-N. Chow and J. Mallet-Paret),
J. Diff. Equations, 149
(1998), 248-291.
Stability and Bifurcation of Traveling Wave Solutions in Coupled Map Lattices
(with S.-N. Chow),
Dynamic Systems and Applications,
4
(1995), 1-25.
Dynamics in a Discrete Nagumo Equation (with S.-N. Chow),
SIAM Journal on Applied Mathematics,
55
(1995), 1764-1781.
A Free Boundary Problem Related to Condensed Two-Phase Combustion,
Part I. Semigroup, Part II. Stability and Bifurcation (with S.-N. Chow),
J. Differential Equations,
107
(1994), 342-423.