Time lag analysis of novel arithmetic modeling in breast cancer

Abstract

In this paper, a mathematical model which considers population dynamics among infected and uninfected cancer tumor cells has been proposed. Delay differential equations have been utilized to demonstrate the framework to consider the periods of the cell cycle. We examine the steadiness of the framework and demonstrate a hypothesis dependent on the contention standard to decide the dependability of a fixed point and show that the solidness may rely upon the delay. We show hypothetically as well as through numerical results that periodic oscillations may arise through Hopf bifurcations. In this paper we study a stochastic model for the conduct of malignancy tumors, depicted by a stochastic differential condition with multiplicative noise term. We study the existence of the solution process, as well as its behavior in the framework of stochastic inclusion problems and long time behavior.

Keywords

• breast cancer
• time lag
• stability
• hopf-bifurcation
• stochasticity