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

Jianjun Paul Tian

doi:10.3934/dcdsb.2009.12.469

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2009, Volume 12, Issue 2: 469-479. Doi: 10.3934/dcdsb.2009.12.469

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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

Received: June 30, 2008

Revised: December 31, 2008

Published: August 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B20, 58J37; Secondary: 92B05.

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