scholarly journals On competition models under allee effect: Asymptotic behavior and traveling waves

2020 ◽  
Vol 19 (12) ◽  
pp. 5609-5626
Author(s):  
Wei Feng ◽  
◽  
Michael Freeze ◽  
Xin Lu
Keyword(s):  
Asymptotic Behavior ◽  
Traveling Waves ◽  
Allee Effect ◽  
Competition Models

scholarly journals Hierarchical competition models with the Allee effect III: multispecies

2018 ◽  
Vol 12 (1) ◽  
pp. 271-287 ◽  
Author(s):  
S. Elaydi ◽  
E. Kwessi ◽  
G. Livadiotis
Keyword(s):  
Allee Effect ◽  
Competition Models

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.

scholarly journals Hierarchical competition models with the Allee effect II: the case of immigration

2015 ◽  
Vol 9 (1) ◽  
pp. 288-316 ◽  
Author(s):  
Laila Assas ◽  
Brian Dennis ◽  
Saber Elaydi ◽  
Eddy Kwessi ◽  
George Livadiotis
Keyword(s):  
Allee Effect ◽  
Competition Models
Sign in / Sign up

Export Citation Format

Share Document