A spatially heterogeneous predator-prey model
This paper introduces a spatially heterogeneous diffusive predator-prey model unifying the classical Lotka{Volterra and Holling{Tanner ones through a prey saturation coefficient, m(x), which is spatially heterogenous and it is allowed to ?degenerate'. Thus, in some patches of the territory the...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/7282 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/7282 |
| Access Level: | acceso abierto |
| Palabra clave: | 51:57 Lotka-Volterra kinetics Biomatemáticas 2404 Biomatemáticas |
| Sumario: | This paper introduces a spatially heterogeneous diffusive predator-prey model unifying the classical Lotka{Volterra and Holling{Tanner ones through a prey saturation coefficient, m(x), which is spatially heterogenous and it is allowed to ?degenerate'. Thus, in some patches of the territory the species can interact according to a Lotka{Volterra kinetics, while in others the prey saturation effects play a significant role on the dynamics of the species. As we are working under general mixed boundary conditions of non-classical type, we must invoke to some very recent technical devices to get some of the main results of this paper. |
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