Bistable traveling waves for a lattice competitive-cooperative system with delay

2021 ◽  
Vol 494 (2) ◽  
pp. 124651
Author(s):  
Li Zhang ◽  
Xiong-Xiong Bao ◽  
Yan Li
Keyword(s):  
Traveling Waves ◽  
Cooperative System ◽  
System With Delay

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.

Investigating Dynamics of One Weakly Nonlinear System with Delay Argument

2018 ◽  
Vol 50 (1) ◽  
pp. 20-38 ◽  
Author(s):  
Denis Ya. Khusainov ◽  
Jozef Diblik ◽  
Jaromir Bashtinec ◽  
Andrey V. Shatyrko
Keyword(s):  
Nonlinear System ◽  
Weakly Nonlinear ◽  
Delay Argument ◽  
System With Delay ◽  
Weakly Nonlinear System
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