ncku-talk2012-03-29

NCTS(South)/ NCKU Math Colloquium

DATE 2012-03-29　16:10-17:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER 吳昌鴻博士（淡江大學數學系）

TITLE On a free boundary problem for a two-species weak competition system

ABSTRACT 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.

NCTS(South)/ NCKU Math Colloquium

DATE	2012-03-29　16:10-17:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	吳昌鴻博士（淡江大學數學系）

TITLE	On a free boundary problem for a two-species weak competition system

ABSTRACT	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.