Some applications of periodic orbits for competitive systems
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| Autores: | , |
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| Formato: | artículo original |
| Estado: | Versión publicada |
| Fecha de Publicación: | 2021 |
| Descripción: | We prove existence of periodic orbits for non-autonomous two dimensional competitive dynamical systems with periodic time dependence. The proof is an adaptation of a similar assertion stated for cooperative systems in [6]. We also give two main applications: one model for cancer cell populations under periodic chemotherapy as treated in [4] and [3] for the cooperative case, and another model for mosquito population replacement dynamics interacting with control sterile mosquitoes with periodic release [1], for the competitive case. |
| País: | Portal de Revistas UCR |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/40956 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/40956 |
| Palabra clave: | competitive systems periodic orbit angiogenesis cancer treatment modeling population replacement modeling Aedes aegypti Wolbachia sistemas competitivos órbita periódica angiogénesis modelado de tratamientos de cáncer modelo de reemplazo de población |