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PERIODIC SOLUTIONS OF A TUMOR-IMMUNE SYSTEM INTERACTION UNDER A PERIODIC IMMUNOTHERAPY

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2021
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
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IN THIS PAPER, WE CONSIDER A MATHEMATICAL MODEL OF A TUMOR-IMMUNE SYSTEM INTERACTION WHEN A PERIODIC IMMUNOTHERAPY TREATMENT IS APPLIED. WE GIVE SUFFICIENT CONDITIONS, USING AVERAGING THEORY, FOR THE EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS IN SUCH SYSTEM AS A FUNCTION OF THE SIX PARAMETERS ASSOCIATED TO THIS PROBLEM. FINALLY, WE PROVIDE EXAMPLES WHERE OUR RESULTS ARE APPLIED.
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