A front-fixing numerical method for a free boundary nonlinear diffusion logistic population model
[EN] The spatial temporal spreading of a new invasive species in a habitat has interest in ecology and is modeled by a moving boundary diffusion logistic partial differential problem, where the moving boundary represents the unknown expanding front of the species. In this paper a front-fixing approa...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/105531 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/105531 |
| Access Level: | acceso abierto |
| Palabra clave: | Diffusive logistic population model Moving boundary Stefan condition Finite difference Numerical analysis Computing simulation MATEMATICA APLICADA |
| Sumario: | [EN] The spatial temporal spreading of a new invasive species in a habitat has interest in ecology and is modeled by a moving boundary diffusion logistic partial differential problem, where the moving boundary represents the unknown expanding front of the species. In this paper a front-fixing approach is applied in order to transform the original moving boundary problem into a fixed boundary one. A finite difference method preserving qualitative properties of the theoretical solution is proposed. Results are illustrated with numerical experiments. |
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