Simultaneous periodic orbits bifurcating from two zero-Hopf equilibria in a tritrophic food chain model
We are interested in the coexistence of three species forming a tritrophic food chain model. Considering a linear grow for the lowest trophic species or prey, and a type III Holling functional response for the middle and highest trophic species (first and second predator respectively). We prove that...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150583 |
| Acceso en línea: | https://ddd.uab.cat/record/150583 https://dx.doi.org/urn:doi:10.4236/jamp.2013.17005 |
| Access Level: | acceso abierto |
| Palabra clave: | Periodic orbit Averaging theory Zero-Hopf bifurcation Population dynamics |
| Sumario: | We are interested in the coexistence of three species forming a tritrophic food chain model. Considering a linear grow for the lowest trophic species or prey, and a type III Holling functional response for the middle and highest trophic species (first and second predator respectively). We prove that this model exhibits two small amplitud periodic solutions bifurcating simultaneously each one from one of the two zeroHopf equilibrium points that the model has for adequate values of its parameters. As far as we know this is the first time that this phenomena appear in the literature related with food chain models. |
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