Cai Jingjing and Chai Yuan and Li Lizhen and Wu Quanjun: Asymptotic behavior of solutions of a Fisher equation with free boundaries and nonlocal term. (2019)
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Abstract
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
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 79 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-18 |
| DOI: | 10.14232/ejqtde.2019.1.79 |
| Uncontrolled Keywords: | Fisher-egyenlet, Differenciaegyenlet |
| Additional Information: | Bibliogr.: p. 17-18. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Jan. 27. 12:30 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/64723 |
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