DIAZ-MARIN, H. G.    OSUNAB, Osvaldo. Periodic solutions for a model of cell population subjected to general periodic radiation. []. , 38, 2, pp.81-91.   30--2020. ISSN 0120-419X.  https://doi.org/10.18273/revint.v38n2-2020001.

In this work, we considered models with periodic radiation can[1]cer treatment which describe the dynamics of cell populations in a tumor. This may also be used to consider dynamics of healthy tissue under peri[1]odic radiation exposure. We establish the existence of periodic orbits, by using theory of cooperative systems. We give sufficient conditions for the uniqueness of the periodic solution which then becomes a global attractor. Numerical simulations are performed using specific radiation functions to illustrate our analytical findings.

: Cancer treatment modelling; cooperative systems; periodic orbits; radiation.

        · |     · |     · ( pdf )