Keywords
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
Aedes aegypti
Wolbachia
How to Cite
Abstract
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.
References
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