Lotka-Voterra competition model with nonlocal coefficient diffusion
We consider the classical Lotka-Volterra competition system with non-local diffusion, specifically, the diffusion coefficients depend on the total population in a nonlinear way. This kind of diffusion models that the species tends to leave crowded areas or is attracted to regions with higher populat...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/180876 |
| Acceso en línea: | https://hdl.handle.net/11441/180876 https://doi.org/10.1016/j.jde.2025.113397 |
| Access Level: | acceso abierto |
| Palabra clave: | Lotka-Volterra systems Nonlocal diffusivity terms Coexistence states Bifurcation method |
| Sumario: | We consider the classical Lotka-Volterra competition system with non-local diffusion, specifically, the diffusion coefficients depend on the total population in a nonlinear way. This kind of diffusion models that the species tends to leave crowded areas or is attracted to regions with higher population density, depending on whether the nonlinear function increases or decreases, respectively. The inclusion of these non-local terms in the diffusion coefficients entails significant technical difficulties. We show results of the existence and non-existence of coexistence states of the models depending on the coefficients of the model. |
|---|