Chaotic Attractors and Delayed Mathematical Model Of Oncology

Abstract

In the recent literature, the competition model of oncology is focused on can- cer. In chapter 1, we will study cancer with some basic examples and the lo- gistic growth of cancer cells. In chapter 2 we analyze the delay competition model and the stability at the equilibrium point must be observed. During this research, the competition model of oncology is used to demonstrate the interac- tions and dynamics of cancer and healthy cells. The impact of control measures on cell production and tumor control, and the competition for survival between the two populations, subject to natural and invoked constraints, such as oncol- ogy changes, and epidemiological conditions. The mathematical model helps to improve the limiting criteria, subject to the stable, asymptotically stable, and unstable cases respectively. The delayed dynamics subject to these constraints can be modeled well with the aid of delay differential equations. During this re- search, a delayed mathematical model is presented and the dynamical analysis is provided to support the hypothesis of delay in cancer cell harvesting.