Some applications of periodic orbits for competitive systems

 

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون: Díaz-Marín, Homero G., Osuna, Osvaldo
التنسيق: artículo original
الحالة:Versión publicada
تاريخ النشر:2021
الوصف: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.
البلد:Portal de Revistas UCR
المؤسسة:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
اللغة:Inglés
OAI Identifier:oai:portal.ucr.ac.cr:article/40956
الوصول للمادة أونلاين:https://revistas.ucr.ac.cr/index.php/matematica/article/view/40956
كلمة مفتاحية: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