Tuesday, December 7, 2021, Prof. Chueh-Hsin Chang
Tuesday, December 7, 2021
Time: 16:10-17:00
Venue: Mathematics Building Room 527
Speaker:
Prof. Chueh-Hsin Chang
(The Department of Applied Mathematics, National Chung Hsing University)
Title:
Traveling wavefronts for a Lotka–Volterra competition model with partially nonlocal interactions
Abstract
In this talk we investigate the existence and stability of monostable traveling wavefronts for a Lotka–Volterra competition model with partially nonlocal interactions. We construct a pair of sub-super-solutions and derive the existence result by applying the technique of monotone iteration method. It is found that if the ratio of the diffusive rate of the species without nonlocal interactions to that of the other species is not greater than a specific value, then the minimal wave speed of the wavefronts is linearly determined. Moreover, by the spectral analysis of the linearized operators, we show that if the initial perturbations of the traveling wavefronts belong to certain exponential weighted spaces, then the traveling wavefronts with noncritical wave speed are asymptotically stable in the exponential weighted spaces. This is a joint work with Cheng-Hsiung Hsu and Tzi-Sheng Yang.
