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A mathematical model of cancer treatment by radiotherapy followed by chemotherapy

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  • Liu, Zijian
  • Yang, Chenxue

Abstract

A periodic mathematical model of cancer treatment by radiotherapy followed by chemotherapy is presented and studied in this paper. Sufficient conditions on the coexistence of the healthy and cancer cells are obtained. Conditions on the existence and globally asymptotic stability of the positive periodic solution, the cancer eradication periodic solution and the cancer win periodic solution are derived. Numerical examples are shown to verify the validity of the results. A discussion is presented for further study.

Suggested Citation

  • Liu, Zijian & Yang, Chenxue, 2016. "A mathematical model of cancer treatment by radiotherapy followed by chemotherapy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 124(C), pages 1-15.
    • Handle: RePEc:eee:matcom:v:124:y:2016:i:c:p:1-15
    DOI: 10.1016/j.matcom.2015.12.007
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    Cited by:

    1. Ebraheem Alzahrani & M. M. El-Dessoky & Muhammad Altaf Khan, 2023. "Mathematical Model to Understand the Dynamics of Cancer, Prevention Diagnosis and Therapy," Mathematics, MDPI, vol. 11(9), pages 1-17, April.
    2. Zhao, Zhong & Pang, Liuyong & Li, Qiuying, 2021. "Analysis of a hybrid impulsive tumor-immune model with immunotherapy and chemotherapy," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).

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