Elsevier

Applied Mathematics Letters

Volume 25, Issue 12, December 2012, Pages 2132-2136
Applied Mathematics Letters

Qualitative analysis of an integro-differential equation model of periodic chemotherapy

https://doi.org/10.1016/j.aml.2012.04.024Get rights and content
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Abstract

An existing model of tumor growth that accounts for cell cycle arrest and cell death induced by chemotherapy is extended to simulate the response to treatment of a tumor growing in vivo. The tumor is assumed to undergo logistic growth in the absence of therapy, and treatment is administered periodically rather than continuously. Necessary and sufficient conditions for the global stability of the cancer-free equilibrium are derived and conditions under which the system evolves to periodic solutions are determined.

Keywords

Chemotherapy
Nonautonomous logistic growth
Periodic orbit
Stability analysis

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