TITLE:
Existence of Forced Waves and Their Asymptotic for Leslie-Gower Prey-Predator Model with Nonlocal Effects under Shifting Environment
AUTHORS:
Qingru Guo, Hongmei Cheng
KEYWORDS:
Leslie-Gower Prey-Predator Model, Nonlocal Effects, Shifting Environment, Forced Waves
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.6,
June
30,
2023
ABSTRACT: In this paper, we prove the existence of forced waves for Leslie-Gower prey-predator model with nonlocal effects under shifting environment. By constructing a pair of upper and lower solutions with the method of monotone iteration, we can obtain the existence of forced waves for any positive constant shifting speed. Finally, we show the asymptotical behavior of traveling wave fronts in two tails.