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Stability of the Six Equilibrium States between CN and G-CSF with Infectives Growth Rate Progression: A FFT Study

Author Affiliations

  • 1Department of Mathematics, Sri Ramanujar Engineering College, Chennai-48, INDIA
  • 2Department of Mathematics, B.S. Abdur Rahman University, Chennai-48, INDIA

Int. Res. J. Biological Sci., Volume 1, Issue (2), Pages 55-60, June,10 (2012)

Abstract

In this paper we have investigated a stability of the equilibrium states between CN (Cyclical Neutropenia) and G-CSF (granulocyte-colony stimulating factor) with infective growth rate progression. Mathematical models and FFT (fast fourier transform) simulations can be used as experimental tools for testing the control- measures and determining sensitivities of changes in parameter values. The paper deals with an investigation on a four parameters estimates consisting of cure rate (c), infective rate (I), absolute neutrophil count (A) and total carrying capacity (K) only. All six equilibrium points for this model are identified and their stability criteria are analyzed. Mathematical modelling of epidemics can lead to and motivate new results in mathematics.

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