The Allee effect is a phenomenon that the population of a species get extinct if the density becomes smaller than a critical value. There are population models that include the Allee effect. However, most of population models, if not all of them, allow an extinction only in time asymptotically, but not in a finite time. In this talk we will discuss about the issues to obtain finite time extinction and its consequences in the context of logistic equations and prey-predator models.
Biography
Dr. Yong-Jung Kim obtained his Ph.D. of Mathematics from University of Wisconsin, USA. Since April 2005, he has been Professor in Department of Mathematical Sciences, KAIST. His research interests are: Applied Mathematics, Partial Differential Equations, Nonlinear Diffusion, Non-Fickian Diffusion, Mathematics in Biology, Numerical Schemes for Hyperbolic Equations, Fluid Dynamics, Asymptotics in Diffusive Problems, Inverse Problem.