Stacked invasion waves in a competition-diffusion model with three species
| Autor: | Qian Liu, King-Yeung Lam, Shuang Liu |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Applied Mathematics
010102 general mathematics Mathematical analysis Space (mathematics) 01 natural sciences 010101 applied mathematics Competition (economics) Mathematics - Analysis of PDEs Variational inequality Turn (geometry) FOS: Mathematics 0101 mathematics Viscosity solution Analysis Analysis of PDEs (math.AP) 35K58 35B40 35D40 Mathematics |
| Zdroj: | Journal of Differential Equations. 271:665-718 |
| ISSN: | 0022-0396 |
| DOI: | 10.1016/j.jde.2020.09.008 |
| Popis: | We investigate the spreading properties of a three-species competition-diffusion system, which is non-cooperative. We apply the Hamilton-Jacobi approach, due to Freidlin, Evans and Souganidis, to establish upper and lower estimates of spreading speed of the slowest species, in terms of the spreading speed of two faster species, and show that the estimates are sharp in some situations. The spreading speed will first be characterized as the free boundary point of the viscosity solution for certain variational inequality cast in the space of speeds. Its exact formulas will then be derived by solving the variational inequality explicitly. To the best of our knowledge, this is the first theoretical result on three-species competition system in unbounded domains. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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