info:eu-repo/semantics/article
Some applications of periodic orbits for competitive systems
Autor
Díaz-Marín,Homero G.
Osuna,Osvaldo
Institución
Resumen
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.