WorkshopsFree boundary problems for some population models with diffusion
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My talk is concerned with a free boundary problem for a certain class of reaction-diffusion equations. This problem models the invasion or migration of a species into a new environment. Our simple model is described by two unknown functions, a population density of the species and a free bounday, in a one-dimensional space. Moreover, the dynamics of the free boundary is given by a Stefan-like condition. I will study the large-time behavior of the population density and the free boundary and explain the spreading and vanishing the species.
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Yoshio Yamada
2011-08-31
11:30:00 - 12:20:00
101 , Mathematics Research Center Building (ori. New Math. Bldg.)
My talk is concerned with a free boundary problem for a certain class of reaction-diffusion equations. This problem models the invasion or migration of a species into a new environment. Our simple model is described by two unknown functions, a population density of the species and a free bounday, in a one-dimensional space. Moreover, the dynamics of the free boundary is given by a Stefan-like condition. I will study the large-time behavior of the population density and the free boundary and explain the spreading and vanishing the species.
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