Dynamical behaviour of fractional order tumor-immune model with targeted chemotherapy treatment

  • Authors

    • Praveen Kumar Gupta
    • Biplab Dhar
    2018-05-16
    https://doi.org/10.14419/ijet.v7i2.28.12872
  • Caputo derivative, Fractional differential equation, Stability, Tumor-immune model.

  • Abstract

    In this study, we discussed the fractional order model of tumor-immune system based on Liu‘s model. We examine the dynamic behaviour of tumor growth and investigate the conditions of tumor removal mathematically. We discussed qualitative analysis on the mathematical model and defined the existence and uniqueness conditions. Local stability is also checked for tumor-free equilibrium point. We give facts about that tumor growth rate, source rate of immune cells, and death rate of immune cells play vital role in tumor dynamics. Numerical simulations are demonstrated to reveal the analytical results.

     

     

  • References

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  • How to Cite

    Kumar Gupta, P., & Dhar, B. (2018). Dynamical behaviour of fractional order tumor-immune model with targeted chemotherapy treatment. International Journal of Engineering & Technology, 7(2.28), 6-9. https://doi.org/10.14419/ijet.v7i2.28.12872

    Received date: 2018-05-16

    Accepted date: 2018-05-16

    Published date: 2018-05-16