【114/11/6】15:20-16:10 張覺心 副教授(國立中正大學數學系)
發佈日期 :
2025-10-02
Colloquium | |
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Time | 2025-11-6 15:20-16:10 |
Venue | 數學館1樓3174教室 |
Speaker | 張覺心 副教授(國立中正大學數學系) |
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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