Abstract
We consider a radially symmetric free boundary problem with logistic nonlinear term. The spatial environment is assumed to be asymptotically periodic at infinity in the radial direction. For such a free boundary problem, it is known from [7] that a spreading-vanishing dichotomy holds. However, when spreading occurs, only upper and lower bounds are obtained in [7] for the asymptotic spreading speed. In this paper, we investigate one-dimensional pulsating semi-waves in spatially periodic media. We prove existence, uniqueness of such pulsating semi-waves, and show that the asymptotic spreading speed of the free boundary problem coincides with the speed of the corresponding pulsating semi-wave.
| Original language | English |
|---|---|
| Pages (from-to) | 279-305 |
| Journal | Annales de l'Institut Henri Poincaré (C), Analyse Non Linéaire |
| Volume | 32 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2015 |
Keywords
- Ordinary Differential Equations, Difference Equations and Dynamical Systems
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