# American Institute of Mathematical Sciences

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

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

 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.
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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