Stability analysis of mathematical model governing star formation.

It takes millions of years for a star to get formed. The evolutionary process of star formation undergoes various stages. Theoretical and astronomical calculations confirm the series of events from nebula to a white dwarf, neutron star, or black due to conversion of mass into energy. This paper deals with the stability analysis of a mathematical model which governs star formation during the ever-changing process of evolution. Variation matrix or Jacobian Matrix is developed out of the differential equation which arises from three components of the galactic region that is atomic, molecular, and stellar components. The mathematical model is the best way to explore and explain the system of three components in the galactic region. In fact, Mathematical Modelling-is the main, if not the only way one, way for theoretical research of astrophysical processes and objects. Various examples have been taken for comparative studies and computational purposes. [ABSTRACT FROM AUTHOR]