TITLE:
Propagation Dynamics of Forced Pulsating Waves for a Time Periodic Lotka-Volterra Cooperative System with Nonlocal Effects in Shifting Habitats
AUTHORS:
Zewen Gong
KEYWORDS:
Nonlocal Effects, Time Periodic Lotka-Volterra System, Forced Pulsating Waves, Shifting Habitats
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.10,
October
21,
2024
ABSTRACT: In this paper, we will concern the existence, asymptotic behaviors and stability of forced pulsating waves for a Lotka-Volterra cooperative system with nonlocal effects under shifting habitats. By using the alternatively-coupling upper-lower solution method, we establish the existence of forced pulsating waves, as long as the shifting speed falls in a finite interval where the endpoints are obtained from KPP-Fisher speeds. The asymptotic behaviors of the forced pulsating waves are derived. Finally, with proper initial, the stability of the forced pulsating waves is studied by the squeezing technique based on the comparison principle.