Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response
In this paper, we analyze the persistence of three species in a three-level food chain model. We characterize when such a model exhibits a zero-Hopf equilibrium point and show that it is possible only if the functional responses in the model are of type Holling III or IV.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:307721 |
| Acceso en línea: | https://ddd.uab.cat/record/307721 https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2024.104232 |
| Access Level: | acceso embargado |
| Palabra clave: | Periodic orbit Averaging theory Zero-Hopf bifurcation Population dynamics |
| Sumario: | In this paper, we analyze the persistence of three species in a three-level food chain model. We characterize when such a model exhibits a zero-Hopf equilibrium point and show that it is possible only if the functional responses in the model are of type Holling III or IV. |
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