Well-posedness and positivity property for a reaction-diffusion model of plankton communities, involving a rational nonlinearity with singularity
| Autor: | Perasso, Antoine, Richard, Quentin, Azzali, Irene, Venturino, Ezio |
|---|---|
| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this work, we consider a reaction-diffusion system, modeling the interaction between nutrients, phytoplanktons and zooplanktons. Using a semigroup approach in $L^2$, we prove global existence, uniqueness and positivity of the solutions. The Holling type 2 nonlinearities, i.e of rational type with singularity, are handled by providing estimates in $L^\infty$. The article finally exhibits some time asymptotics properties of the solutions. Comment: 20 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|