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September  2009, 12(2): 469-479. doi: 10.3934/dcdsb.2009.12.469

Finite-time perturbations of dynamical systems and applications to tumor therapy

Jianjun Paul Tian 1,

1. 

Mathematics Department, College of William and Mary, Williamsburg, VA 23187, United States

Received  July 2008 Revised  January 2009 Published  July 2009

We study finite-time perturbations of dynamical systems. We prove that finite-time perturbed dynamical systems are asymptotically equivalent to unperturbed dynamical systems. And so the asymptotical behavior of finite-time perturbed systems can be studied by unperturbed systems. As an example, we study a system perturbed by drug treatments.
Keywords: finite-time perturbation, tumor therapy., asymptotically equivalent.
Mathematics Subject Classification: Primary: 35B20, 58J37; Secondary: 92B0.
Citation: Jianjun Paul Tian. Finite-time perturbations of dynamical systems and applications to tumor therapy. Discrete & Continuous Dynamical Systems - B, 2009, 12 (2) : 469-479. doi: 10.3934/dcdsb.2009.12.469
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