兰州大学机构库

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Traveling fronts in monostable equations with nonlocal delayed effects 期刊论文
Journal of Dynamics and Differential Equations, 2008, 卷号: 20, 期号: 3, 页码: 573-607
Authors:  Wang, Zhi-Cheng;  Li, Wan-Tong;  Ruan, Shigui
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existence  uniqueness  asymptotic stability  traveling wave front  nonlocal reaction-diffusion equation  delay  monostable equation  
Traveling Wave Solutions for Delayed Reaction-Diffusion Systems and Applications to Diffusive Lotka-Volterra Competition Models with Distributed Delays 期刊论文
Journal of Dynamics and Differential Equations, 2014, 卷号: 26, 期号: 3, 页码: 583-605
Authors:  Lin, Guo;  Ruan, Shigui
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Nonmonotone traveling wave solutions  Contracting rectangle  Invariant region  Generalized upper and lower solutions  
Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2007, 卷号: 238, 期号: 1, 页码: 153-200
Authors:  Wang, Zhi-Cheng;  Li, Wan-Tong;  Ruan, Shigui
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existence  uniqueness  asymptotic stability  traveling wave front  reaction advection diffusion equation  nonlocal delay  bistable  
Traveling waves in delayed lattice dynamical systems with competition interactions 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 卷号: 11, 期号: 5, 页码: 3666-3679
Authors:  Lin, Guo;  Li, Wan-Tong
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Cross-iteration  Upper and lower solutions  Competition interaction  Traveling wave  Monotone dynamical systems  
Existence and stability of time periodic traveling waves for a periodic bistable Lotka-Volterra competition system 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 卷号: 255, 期号: 8, 页码: 2402-2435
Authors:  Bao, Xiongxiong;  Wang, Zhi-Cheng
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Lotka-Volterra competition-diffusion system  Periodic traveling wave solutions  Existence  Uniqueness  Stability  
Asymptotic stability of traveling wave fronts in nonlocal reaction-diffusion equations with delay 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 卷号: 360, 期号: 2, 页码: 439-458
Authors:  Wu, Shi-Liang;  Li, Wan-Tong;  Liu, San-Yang
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Asymptotic stability  Nonlocal reaction-diffusion equations  Traveling wave fronts  Delays  Weighted energy method  
Traveling waves for a nonlocal anisotropic dispersal equation with monostable nonlinearity 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 卷号: 74, 期号: 3, 页码: 814-826
Authors:  Sun, Yu-Juan;  Li, Wan-Tong;  Wang, Zhi-Cheng
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Anisotropic dispersal  Traveling wave  Subsolution  Supersolution  
Bistable wavefronts in a diffusive and competitive Lotka-Volterra type system with nonlocal delays 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 卷号: 244, 期号: 3, 页码: 487-513
Authors:  Lin, Guo;  Li, Wan-Tong
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bistable wavefront  nonlocal delay  reaction diffusion systems  competition  Lotka-Volterra type model  
Global asymptotic stability of bistable traveling fronts in reaction-diffusion systems and their applications to biological models 期刊论文
CHAOS SOLITONS & FRACTALS, 2009, 卷号: 40, 期号: 3, 页码: 1229-1239
Authors:  Wu, Shi-Liang;  Li, Wan-Tong
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Stability of traveling waves in a monostable delayed system without quasi-monotonicity 期刊论文
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 卷号: 14, 期号: 3, 页码: 1511-1526
Authors:  Yang, Yun-Rui;  Li, Wan-Tong;  Wu, Shi-Liang
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Traveling waves  Weighted energy method  Stability