Abstract

DIAZ-MARIN, H. G.  and  OSUNAB, Osvaldo. Periodic solutions for a model of cell population subjected to general periodic radiation. Integración - UIS [online]. 2020, vol.38, n.2, pp.81-91.  Epub June 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.

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

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