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【114/11/6】15:20-16:10 Prof. Chueh-Hsin Chang (Department of Mathematics, National Chung Cheng University)

 

Colloquium

Time 2025-11-6 15:20-16:10
Venue Mathtmatics Building 1F Classroom 3174
Speaker Prof. Chueh-Hsin Chang (Department of Mathematics, National Chung Cheng University)
Title Traveling Waves of Two-species Diffusive Lokta-Volterra Competition Systems via Geometric Singular Perturbations
Abstract We consider the two-species Lokta-Volterra competition-diffusion system with small diffusion on one species, whose attack rate from the other species is also small. By the geometric singular perturbation (GSP) theory, we prove the existence of the wavefront connecting the coexistence state to the trivial state, with traveling speed greater than the minimal speed. Again, using the GSP theory to approximate the Evans function for the wavefronts, we give the stability results. This is a joint work with Prof. Tzi-Sheng Yang.

 

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