| Contents |
| This talk is concerned with the time periodic Lotka-Volterra
competition-diffusion system.
We show that the system admits a periodic traveling wave
$\left(u(x,t),v(x,t)\right)=\left(U(x+ct,t),V(x+ct,t)\right)$
connecting two periodic solutions $\left(p(t),0\right)$ and
$\left(0,q(t)\right)$ as $x\to \pm\infty$. By using a dynamical method,
we also show
that the time periodic traveling wave solution $\left(U(x+ct,t),V(x+ct,t)\right)$
is asymptotically
stable and unique modulo translation for front-like initial values. |
|