Traveling wavefronts in cooperative Lotka-Volterra system with time delays
Date Issued
2005
Date
2005
Author(s)
Liao, Kang-Ling
DOI
en-US
Abstract
The existence of traveling wave front solution is established for diffusive and cooperative Lotka-Volterra system with time delays.
The approaches used in this paper are the upper-lower solution technique, the monotone iteration by Wu and Zou in reference [6] for delayed reaction-diffusion systems.
From the theorem 2.1 in reference [5] and theorem 4.5* in references [6], we know that if time delay is sufficiently small and all conditions in the above
theorems hold. And then we have a traveling wave front solution.
Now, we hope that we can change the upper and lower solutions in reference [5] and reduce the constraints on time delays.
Keywords: Traveling wave solution; Upper solution; Lower solution;Time delay.
Subjects
行進波解
上解
下解
時間延遲
Traveling wave solution
Upper solution
Lower solution
Time delay
Type
thesis