Some applications of periodic orbits for competitive systems

 

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Detalles Bibliográficos
Autores: Díaz-Marín, Homero G., Osuna, Osvaldo
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