scholarly journals Asymptotic behavior of traveling waves for a three-component system with nonlocal dispersal and its application

2017 ◽  
Vol 37 (12) ◽  
pp. 6291-6318 ◽  
Author(s):  
Fang-Di Dong ◽  
◽  
Wan-Tong Li ◽  
Jia-Bing Wang
Keyword(s):  
Asymptotic Behavior ◽  
Traveling Waves ◽  
Nonlocal Dispersal ◽  
Component System

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

Asymptotics and Uniqueness of Travelling Waves for Non-Monotone Delayed Systems on 2D Lattices

2013 ◽  
Vol 56 (3) ◽  
pp. 659-672 ◽  
Author(s):  
Zhi-Xian Yu ◽  
Ming Mei
Keyword(s):  
Asymptotic Behavior ◽  
Traveling Waves ◽  
Travelling Waves ◽  
A Priori ◽  
Travelling Wave ◽  
Delayed Systems

Abstract.We establish asymptotics and uniqueness (up to translation) of travelling waves for delayed 2D lattice equations with non-monotone birth functions. First, with the help of Ikehara’s Theorem, the a priori asymptotic behavior of travelling wave is exactly derived. Then, based on the obtained asymptotic behavior, the uniqueness of the traveling waves is proved. These results complement earlier results in the literature.

Sign in / Sign up

Export Citation Format

Share Document