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

Harsh Vardhan Jain, Helen M. Byrne

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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. © 2012 Elsevier Ltd. All rights reserved.
Original languageEnglish (US)
Pages (from-to)2132-2136
Number of pages5
JournalApplied Mathematics Letters
Issue number12
StatePublished - Dec 2012
Externally publishedYes


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