2012/5/9 吳昌鴻博士專題演講
演講者:
單 位:
日 期:2012年5月9日 PM 14:30
地 點:國立高雄大學理學院408室
講 題:
摘 要:
We study a Lotka-Volterra type weak competition model with a free boundary in a one-dimensional habitat. The main objective is to understand whether the two competing species spread via a free boundary. Under some conditions, we first establish a spreading-vanishing dichotomy which was proposed initially by Du and Lin, SIAM J. Math. Anal. (2010) for a logistic equation. Then we provide some sufficient conditions for spreading success and spreading failure, respectively. Finally, for spreading success, we prove that the asymptotic spreading speed cannot be faster than the minimal speed of traveling wavefront solutions for the competition model on the whole real line without a free boundary. This is a joint work with Prof. Jong-Shenq Guo.
