Special Session 23: New trends in pattern formations and dynamics for dissipative systems and related topics

A free boundary model for super invaders

Yihong Du
University of New England
Australia
Co-Author(s):    
Abstract:
In this talk I will report some recent progress on a free boundary model, where the free boundary conditions are deduced from the biological assumption that the species expands or shrinks its population range through its members at the range boundary keeping the population density there at a preferred level. It turns out that this strategy would make the species a super invader: No matter whether the growth function f(u) is monostable, bistable (strong Allee) or of combustion type (weak Allee), the species always spreads successfully.