Mostrar el registro sencillo de la publicación
Simultaneous Hopf and Bogdanov–takens bifurcations on a Leslie–Gower type model with generalist predator and group defence
| dc.contributor.author | Puchuri, Liliana | |
| dc.contributor.author | Bueno, Orestes | |
| dc.contributor.author | González-Olivares, Eduardo | |
| dc.contributor.author | Rojas-Palma, Alejandro | |
| dc.date.accessioned | 2024-09-10T13:38:19Z | |
| dc.date.available | 2024-09-10T13:38:19Z | |
| dc.date.issued | 2024 | |
| dc.identifier.uri | http://repositorio.ucm.cl/handle/ucm/5658 | |
| dc.description.abstract | In this work, we analyze a two-dimensional continuous-time differential equations system derived from a Leslie–Gower predator–prey model with a generalist predator and prey group defence. For our model, we fully characterize the existence and quantity of equilibrium points in terms of the parameters, and we use this to provide necessary and sufficient conditions for the existence and the explicit form of two kinds of equilibrium points: both a degenerate one with associated nilpotent Jacobian matrix, and a weak focus. These conditions allows us to determine whether the system undergoes Bogdanov–Takens and Hopf bifurcations. Consequently, we establish the existence of a simultaneous Bogdanov–Taken and Hopf bifurcation. With this double bifurcation, we guarantee the existence of a new Hopf bifurcation curve and two limit cycles on the system: an infinitesimal and another non-infinitesimal. | es_CL |
| dc.language.iso | en | es_CL |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| dc.source | Qualitative Theory of Dynamical Systems, 23(Suppl 1), 255 | es_CL |
| dc.subject | Predator–prey model | es_CL |
| dc.subject | Non-monotonic functional response | es_CL |
| dc.subject | Bogdanov–Takens bifurcation | es_CL |
| dc.subject | Hopf bifurcation | es_CL |
| dc.title | Simultaneous Hopf and Bogdanov–takens bifurcations on a Leslie–Gower type model with generalist predator and group defence | es_CL |
| dc.type | Article | es_CL |
| dc.ucm.facultad | Facultad de Ciencias Básicas | es_CL |
| dc.ucm.indexacion | Scopus | es_CL |
| dc.ucm.indexacion | Isi | es_CL |
| dc.ucm.uri | springerlink.ucm.elogim.com/article/10.1007/s12346-024-01118-5 | es_CL |
| dc.ucm.doi | doi.org/10.1007/s12346-024-01118-5 | es_CL |
Ficheros en la publicación
| Ficheros | Tamaño | Formato | Ver |
|---|---|---|---|
|
No hay ficheros asociados a esta publicación. |
|||
Esta publicación aparece en la(s) siguiente(s) colección(ones)
Excepto si se señala otra cosa, la licencia de la publicación se describe como Atribución-NoComercial-SinDerivadas 3.0 Chile