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Discrete Mathematical Modeling and Analysis of Tumor Therapy

In: Disease Prevention and Health Promotion in Developing Countries

Author

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  • Abdelaziz Chetouani

    (University Mohamed Ier, Team of Operational Research and Applied Statistics, National School of Commerce and Management)

Abstract

A nonlinear discrete mathematical model is presented for the interactions between tumor cells and oncolytic virotherapy. Positive equilibrium points of the system are investigated and their stability analysis is examined. Moreover, the numerical simulation of the proposed model is also performed by using numerical method which preserves the theoretical properties. The uninfected tumor cells can be eliminated with time, and complete recovery is possible because of virus therapy, if suitable conditions are satisfied. The system appears to exhibit periodic cycles and chaotic behavior for some values of the system parameters.

Suggested Citation

  • Abdelaziz Chetouani, 2020. "Discrete Mathematical Modeling and Analysis of Tumor Therapy," Springer Books, in: Abdesslam Boutayeb (ed.), Disease Prevention and Health Promotion in Developing Countries, chapter 0, pages 133-147, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-34702-4_11
    DOI: 10.1007/978-3-030-34702-4_11
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