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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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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.
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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.
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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.
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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.
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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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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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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.
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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.
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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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Lattice differential equation  traveling wave  asymptotic stability  energy estimates  global interaction