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Chaos and optimal control of equilibrium states of tumor system with drug

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  • El-Gohary, Awad

Abstract

This article is devoted to study the chaos and optimal control problems of both tumor and tumor with drug systems. The stability and instability of the equilibrium states of these systems are investigated. This stability analysis indicates that these systems exhibit a chaotic behavior for some values of the system parameters. The optimal amount of drug and optimal dose for control of the equilibrium states that minimize the required Hamilton function are obtained. Analysis and extensive numerical examples of the uncontrolled and controlled systems were carried out.

Suggested Citation

  • El-Gohary, Awad, 2009. "Chaos and optimal control of equilibrium states of tumor system with drug," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 425-435.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:1:p:425-435
    DOI: 10.1016/j.chaos.2008.02.003
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    References listed on IDEAS

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    1. El-Gohary, Awad, 2008. "Chaos and optimal control of cancer self-remission and tumor system steady states," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1305-1316.
    2. El-Gohary, Awad & Al-Ruzaiza, A.S., 2007. "Chaos and adaptive control in two prey, one predator system with nonlinear feedback," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 443-453.
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