Inspection of the global behaviour of a radiogenic cancer treatment nonlinear model

Abstract

Author(s): Kaushik Dehingia*, Bhagya Jyoti Nath, Hemanta Kumar Sarmah and Anusmita Das

Neoplastic diseases are liable for 12% of deaths around the world. The researchers of several disciplines tried to observe the dynamics of tumour growth with the response to other cell population of the physical body. They need the used ever-new technique to regulate the tumour growth and its eradication from the physical body. Clinically, there are many treatment strategies like surgery, chemotherapy, radiotherapy, gene therapy, immunotherapy and combination of this etc. to beat the disease. During this paper, we analysed a model for the effect of radiogenic therapy within the treatment of cancer. Local stability analysis at various equilibrium points has discussed during this paper. For greater interest, we have shown that the tumour free equilibrium point is globally asymptotically stable. We even have done numerical verification of our mathematical result.

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