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Computational Ecology and Software, 2021, 11(2): 69-82
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Article

Time lag analysis of novel arithmetic modeling in breast cancer

Kalyan Das1, Ranjith Kumar2, Pankaj Taneja3, M Lutfor Rahman4
1National Institute of Food Technology Entrepreneurship and Management, HSIIDC Industrial Estate, Kundli, Haryana, India
2Anurag University, Hyderabad, Telangana, India
3Sharda University, Knowledge Park III , Greater Noida, Uttar Pradesh, India
4Institute of Statistical Research and Training, University of Dhaka, Dhaka 1000, Bangladesh

Received 13 January 2021;Accepted 20 February 2021;Published 1 June 2021
IAEES

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.



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