Asymptotic behavior of solutions of a Fisher equation with free boundaries and nonlocal term
We study the asymptotic behavior of solutions of a Fisher equation with free boundaries and the nonlocal term (an integral convolution in space). This problem can model the spreading of a biological or chemical species, where free boundaries represent the spreading fronts of the species. We give a d...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Fisher-egyenlet, Differenciaegyenlet |
| doi: | 10.14232/ejqtde.2019.1.79 |
| Online Access: | http://acta.bibl.u-szeged.hu/64723 |
| Tartalmi kivonat: | We study the asymptotic behavior of solutions of a Fisher equation with free boundaries and the nonlocal term (an integral convolution in space). This problem can model the spreading of a biological or chemical species, where free boundaries represent the spreading fronts of the species. We give a dichotomy result, that is, the solution either converges to 1 locally uniformly in R, or to 0 uniformly in the occupying domain. Moreover, we give the sharp threshold when the initial data u0 = σφ, that is, there exists σ ∗ > 0 such that spreading happens when σ > σ , and vanishing happens when σ ≤ σ |
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| Terjedelem/Fizikai jellemzők: | 1-18 |
| ISSN: | 1417-3875 |