A PDE model for the spatial dynamics of a voles population structured in age
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | A PDE model for the spatial dynamics of a voles population structured in age |
| Type de publication | Journal Article |
| Year of Publication | 2020 |
| Auteurs | Coclite G.M, Donadello C., Nguyen T.NT |
| Journal | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
| Volume | 196 |
| Pagination | 111805 |
| Date Published | JUL |
| Type of Article | Article |
| ISSN | 0362-546X |
| Mots-clés | Boundary value problem, Compensated compactness, Doubling of variables, Energy estimates, Non-local flux, Parabolic-hyperbolic equation, Population dynamics structured in age and space |
| Résumé | We prove existence and stability of entropy weak solutions for a macroscopic PDE model for the spatial dynamics of a population of voles structured in age. The model consists of a scalar PDE depending on time, t, age, a, and space x = (x(1), x(2)), supplemented with a non-local boundary condition at a = 0. The flux is linear with constant coefficient in the age direction but contains a non-local term in the space directions. Also, the equation contains a term of second order in the space variables only. Existence of solutions is established by compensated compactness, see Panov (2009), and we prove stability by a doubling of variables type argument. (C) 2020 Elsevier Ltd. All rights reserved. |
| DOI | 10.1016/j.na.2020.111805 |