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

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.