Stability analysis on a hybrid PDE-ODE system describing intermittent hormonal therapy of prostate cancer

Kurumi Hiruko, Shinya Okabe

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We consider the stability of control prescribed by hybrid PDE-ODE systems modeling intermittent hormonal therapy of prostate cancer. Hybrid systems can be regarded as a generalization of optimal control. However, since the purpose of hybrid systems is not only minimization or maximization of a corresponding functional, it is not clear what is optimal in hybrid systems. In this paper, we shall give a concept of stability of the control prescribed by the hybrid PDE-ODE systems. Moreover, we show a sufficient condition on initial data for the existence of the stable control. Finally, we apply the main result to several mathematical models describing intermittent hormonal therapy of prostate cancer.

Original languageEnglish
Pages (from-to)487-523
Number of pages37
JournalMathematical Models and Methods in Applied Sciences
Volume28
Issue number3
DOIs
Publication statusPublished - 2018 Mar 1

Keywords

  • Comparison principle
  • energy method
  • indirectly controlled parameter

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Stability analysis on a hybrid PDE-ODE system describing intermittent hormonal therapy of prostate cancer'. Together they form a unique fingerprint.

Cite this