| dc.creator | Díaz-Marín, Homero G. | |
| dc.creator | Osuna, Osvaldo | |
| dc.date | 2021-12-01 | |
| dc.date.accessioned | 2022-01-03T15:46:53Z | |
| dc.date.available | 2022-01-03T15:46:53Z | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2847 | |
| dc.identifier | 10.4067/S0719-06462021000300343 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/177722 | |
| dc.description | We prove that for certain polynomial differential equations in the plane arising from predator-prey type III models with generalized rational functional response, any algebraic solution should be a rational function. As a consequence, limit cycles, which are unique for these dynamical systems, are necessarily trascendental ovals. We exemplify these findings by showing a numerical simulation within a system arising from zooplankton-phytoplankton dynamics. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2847/2120 | |
| dc.rights | Copyright (c) 2021 H. G. Díaz-Marín et al. | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 No. 3 (2021); 343–355 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 Núm. 3 (2021); 343–355 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Predator-prey models | en-US |
| dc.subject | functional-response | en-US |
| dc.subject | Puiseux series | en-US |
| dc.subject | Newton polygon | en-US |
| dc.subject | limit cycles | en-US |
| dc.subject | invariant algebraic curve | en-US |
| dc.title | Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
