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Bifurcations in a leslie-gower type predator-prey model with a rational non-monotonic functional response
| dc.contributor.author | González-Olivares, Eduardo | |
| dc.contributor.author | Mosquera Aguilar, Adolfo | |
| dc.contributor.author | Tintinago-Ruiz, Paulo | |
| dc.contributor.author | Rojas-Palma, Alejandro | |
| dc.date.accessioned | 2022-10-19T18:39:19Z | |
| dc.date.available | 2022-10-19T18:39:19Z | |
| dc.date.issued | 2022 | |
| dc.identifier.uri | http://repositorio.ucm.cl/handle/ucm/4110 | |
| dc.description.abstract | A Leslie-Gower type predator-prey model including group defense for-mation is analyzed. This phenomenon, described by a non-monotonic function origi-nates interesting dynamics; positiveness, boundedness, permanence of solutions, andexistence of up to three positive equilibria are established. The solutions are highlysensitive to initial conditions since there exists a separatrix curve dividing their be-havior. Two near trajectories can have far omega-limit sets. The weakness of asingularity is established showing two limit cycles can exist. Numerical simulationsendorse the analytical outcomes | 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 | Mathematical Modelling and Analysis, 27(3), 510-532 | es_CL |
| dc.subject | Limit cycles | es_CL |
| dc.subject | Stability, | es_CL |
| dc.subject | Separatrix, | es_CL |
| dc.subject | Predator-prey model, | es_CL |
| dc.subject | Functional response | es_CL |
| dc.title | Bifurcations in a leslie-gower type predator-prey model with a rational non-monotonic functional response | 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 | journals.vilniustech.lt/index.php/MMA/article/view/15528 | es_CL |
| dc.ucm.doi | doi.org/10.3846/mma.2022.15528 | es_CL |
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