[期刊论文]


Existence, uniqueness and stability of forced waves for asymptotical KPP equations with the nonlocal dispersal in a shifting habitat

作   者:
Liang Zhang;Yanling Meng;Zhixian Yu;

出版年:2024

页     码:2382 - 2398
出版社:


摘   要:

In this paper, we mainly focus on the existence, uniqueness and stability of forced waves for the asymptotical KPP equation with the nonlocal dispersal in a shifting habitat. Firstly, we adopt the monotone semiflow technique together with Dini’s Theorem to obtain the existence of forced waves with the wave speed $ c $, which is a given speed of habitat edge movement. Next, we obtain the uniqueness of forced waves via the sliding method. Lastly, by using the monotone semiflows technique in conjunction with the upper-lower solutions, we first obtain the solution of initial problem uniformly converges to the forced wave, and further give the global exponential stability of the forced wave.



关键字:

Shifting habitat;Nonlocal dispersal;Forced wave;Global exponential stability;Sliding method;Monotone semiflows approach


所属期刊
Discrete and Continuous Dynamical Systems - B
ISSN: 1553-524X
来自: