scholarly journals Spreading speeds and traveling waves for nonlocal dispersal equations with degenerate monostable nonlinearity

2012 ◽  
Vol 252 (9) ◽  
pp. 5096-5124 ◽  
Author(s):  
Guo-Bao Zhang ◽  
Wan-Tong Li ◽  
Zhi-Cheng Wang
Keyword(s):  
Traveling Waves ◽  
Spreading Speeds ◽  
Nonlocal Dispersal ◽  
Monostable Nonlinearity

scholarly journals Spreading speeds and traveling waves for space-time periodic nonlocal dispersal cooperative systems

2019 ◽  
Vol 18 (1) ◽  
pp. 361-396 ◽  
Author(s):  
Xiongxiong Bao ◽  
◽  
Wenxian Shen ◽  
Zhongwei Shen ◽  
◽  
...  
Keyword(s):  
Traveling Waves ◽  
Cooperative Systems ◽  
Space Time ◽  
Spreading Speeds ◽  
Nonlocal Dispersal ◽  
Time Periodic

Existence and stability of invasion traveling waves for a competition system with random vs. nonlocal dispersals

2019 ◽  
Vol 12 (01) ◽  
pp. 1950004
Author(s):  
Jiao Wang ◽  
Zhixian Yu ◽  
Yanling Meng
Keyword(s):  
Traveling Waves ◽  
Weighted Spaces ◽  
Nonlocal Dispersal ◽  
Asymptotic Behaviors ◽  
Competition System ◽  
Weighted Energy ◽  
Existence And Stability ◽  
Exponentially Stable ◽  
Exponentially Weighted

The purpose of this paper is to investigate asymptotic behaviors of the solutions for a competition system with random vs. nonlocal dispersal. We first prove the existence of invasion traveling waves via using the theory of asymptotic speeds of spread. Then we prove the invasion traveling waves are exponentially stable as perturbation in some exponentially weighted spaces by using the weighted energy and the squeezing technique.

Traveling waves of a nonlocal dispersal SEIR model with standard incidence

2019 ◽  
Vol 49 ◽  
pp. 196-216 ◽  
Author(s):  
Shao-Xia Qiao ◽  
Fei-Ying Yang ◽  
Wan-Tong Li
Keyword(s):  
Traveling Waves ◽  
Nonlocal Dispersal ◽  
Seir Model
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