The Lotka-Volterra models with nonlocal cross-diffusivity terms
We consider the Lotka-Volterra systems in their three classic forms: competition, prey-predator, and cooperation. These systems include nonlocal cross-diffusivity terms, meaning that the diffusion velocity rate of one species depends on the total population of the other species. The inclusion of the...
| Autores: | , , |
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| 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:11441/180882 |
| Acceso en línea: | https://hdl.handle.net/11441/180882 https://doi.org/https://doi.org/10.1016/j.jmaa.2025.129316 |
| Access Level: | acceso abierto |
| Palabra clave: | Lotka-Volterra systems Nonlocal diffusivity terms Coexistence states Cross-diffusion Index point fixed |
| Sumario: | We consider the Lotka-Volterra systems in their three classic forms: competition, prey-predator, and cooperation. These systems include nonlocal cross-diffusivity terms, meaning that the diffusion velocity rate of one species depends on the total population of the other species. The inclusion of these nonlocal diffusivity terms causes a significant change in the structure of coexistence states compared to the classical Lotka-Volterra systems. To obtain these results, we employ mainly the fixed point index in cones. |
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