N. John Britto, V. Rajagopalan, S. Sasikala and S. Muthalagi
The British Mathematician Hardy and the German Physician Weinberg, in evolution the genetic make up of species and population may change over time, some traits may be lost, other new one arises, while some persist unchanged. Though chance plays a larger role in the inheritance of traits in a single parent cross, understanding how this plays out in the evolution of a population requires a Stochastic modeling. Let forces on a single gene in a large population. To describe the variability of this gene among the population members, we use allels that are certain type of frequency, few nuermical examples reviewed.
Hardy-Weinberg Law, Branching Process, Genetic Threshold, Eigen values and vectors, Fokker-Plank Diffusion equation.