Stability analysis of switched systems for cancer treatment by anti-angiogenesis via minimum dwell time (MDT)

Taghreed G. Sugati, Sarah A. Al-Sheikh, Amani Sh. Al-Sulami

Abstract


Anti-angiogenic therapy is a novel treatment approach for cancer that aims at preventing a tumor from developing its own blood supply system that it needs for growth. In this paper we consider a mathematical model for cancer with treatment by using Lotka-Volterra Competition model. In order to minimize the side effects for treatment, we propose a switched system to determine the duration of treatments by using the MDT method and provide an analytical insight into the effectiveness of such method. An illustrative example is presented to show the validity of the results.

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Published: 2020-10-21

How to Cite this Article:

Taghreed G. Sugati, Sarah A. Al-Sheikh, Amani Sh. Al-Sulami, Stability analysis of switched systems for cancer treatment by anti-angiogenesis via minimum dwell time (MDT), Commun. Math. Biol. Neurosci., 2020 (2020), Article ID 73

Copyright © 2020 Taghreed G. Sugati, Sarah A. Al-Sheikh, Amani Sh. Al-Sulami. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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