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INVASION ENTIRE SOLUTIONS IN A COMPETITION SYSTEM WITH NONLOCAL DISPERSAL
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 卷号: 35, 期号: 4, 页码: 1531-1560
Authors:
Li, WT(李万同)
;
Zhang, L
;
Zhang, GB
;
Li, WT (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
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Submit date:2015/12/16
Entire solution
nonlocal dispersal
traveling wave solution
asymptotic behavior
Persistence of bistable waves in a delayed population model with stage structure on a two-dimensional spatial lattice
期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 卷号: 13, 期号: 4, 页码: 1873-1890
Authors:
Cheng, CP
;
Li, WT(李万同)
;
Wang, ZC(王智诚)
;
Li, WT (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
Adobe PDF(302Kb)
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Submit date:2015/12/16
Lattice differential equation
Persistence of traveling wavefronts
Fredholm alternative theory
Perturbation
Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 卷号: 252, 期号: 9, 页码: 5096-5124
Authors:
Zhang, GB
;
Li, WT(李万同)
;
Wang, ZC(王智诚)
;
Li, WT (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
Adobe PDF(289Kb)
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Submit date:2015/12/16
Nonlocal dispersal
Traveling wave solution
Degenerate monostable nonlinearity
Exponential decay behavior
Uniqueness
Spreading speed
Pulsating type entire solutions of monostable reaction-advection-diffusion equations in periodic excitable media
期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 卷号: 75, 期号: 4, 页码: 1869-1880
Authors:
Liu, NW
;
Li, WT(李万同)
;
Wang, ZC(王智诚)
;
Liu, NW (reprint author), Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China.
Adobe PDF(294Kb)
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Submit date:2015/12/16
Pulsating type entire solution
Reaction-advection-diffusion equation
Pulsating front
Sub-super solution
Periodic media
Periodic pyramidal traveling fronts of bistable reaction-diffusion equations with time-periodic nonlinearity
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 卷号: 252, 期号: 3, 页码: 2388-2424
Authors:
Sheng, WJ
;
Li, WT(李万同)
;
Wang, ZC(王智诚)
;
Li, WT (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
Adobe PDF(345Kb)
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Submit date:2015/12/16
Pyramidal traveling fronts
Reaction-diffusion equations
Time periodic
TRAVELING WAVE SOLUTIONS OF A COMPETITIVE RECURSION
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 卷号: 17, 期号: 1, 页码: 173-189
Authors:
Lin, G(林国)
;
Li, WT(李万同)
;
Lin, G (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
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Submit date:2015/12/16
Comparison principle
cross iteration
competition system
MONOSTABLE WAVEFRONTS IN COOPERATIVE LOTKA-VOLTERRA SYSTEMS WITH NONLOCAL DELAYS
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 卷号: 31, 期号: 1, 页码: 1-23
Authors:
Lin, G(林国)
;
Li, WT(李万同)
;
Ruan, SG
;
Lin, G (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
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  |  
  
Submit date:2015/12/16
Comparison principle
nonlocal delay
monostable system
linear determinate conjecture
minimal wave speed
asymptotic stability
Entire solutions in nonlocal dispersal equations with bistable nonlinearity
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 卷号: 251, 期号: 3, 页码: 551-581
Authors:
Sun, YJ
;
Li, WT(李万同)
;
Wang, ZC(王智诚)
;
Li, WT (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
Adobe PDF(331Kb)
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Submit date:2015/12/16
Entire solution
Traveling wave solutions
Nonlocal dispersal
Spreading speeds and traveling waves in competitive recursion systems
期刊论文
JOURNAL OF MATHEMATICAL BIOLOGY, 2011, 卷号: 62, 期号: 2, 页码: 165-201
Authors:
Lin, G(林国)
;
Li, WT(李万同)
;
Ruan, SG
;
Lin, G (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
Adobe PDF(955Kb)
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Submit date:2015/12/16
Comparison principle
Upper and lower solutions
Traveling waves
Spreading speeds
Competitive invaders
ASYMPTOTIC STABILITY OF TRAVELING WAVEFRONTS IN A DELAYED POPULATION MODEL WITH STAGE STRUCTURE ON A TWO-DIMENSIONAL SPATIAL LATTICE
期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2010, 卷号: 13, 期号: 3, 页码: 559-575
Authors:
Cheng, CP
;
Li, WT(李万同)
;
Wang, ZC(王智诚)
;
Li, WT (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
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  |  
  
Submit date:2015/12/16
Lattice differential equation
traveling wave
asymptotic stability
energy estimates
global interaction