| 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. |
