Bistable traveling waves for a competitive–cooperative system with nonlocal delays

2018 ◽  
Vol 264 (8) ◽  
pp. 5263-5299 ◽  
Author(s):  
Yanling Tian ◽  
Xiao-Qiang Zhao
Keyword(s):  
Traveling Waves ◽  
Cooperative System

scholarly journals Stability of Traveling Waves to the Lotka-Volterra Competition Model

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Ahmad Alhasanat ◽  
Chunhua Ou
Keyword(s):  
Global Stability ◽  
Comparison Principle ◽  
Traveling Waves ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Functional Space ◽  
Cooperative System ◽  
Wave Solutions ◽  
Diffusive Model ◽  
The Stability

In this paper, the stability of traveling wave solutions to the Lotka-Volterra diffusive model is investigated. First, we convert the model into a cooperative system by a special transformation. The local and the global stability of the traveling wavefronts are studied in a weighted functional space. For the global stability, comparison principle together with the squeezing technique is applied to derive the main results.

Double-Diffusive Convection in Traveling Waves in the Iodate−Sulfite System Explained

1996 ◽  
Vol 100 (40) ◽  
pp. 16209-16212 ◽  
Author(s):  
John A. Pojman ◽  
Andrea Komlósi ◽  
Istvan P. Nagy
Keyword(s):  
Traveling Waves ◽  
Double Diffusive Convection ◽  
Diffusive Convection ◽  
Double Diffusive
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