Analysis of growth in population through nonlinear stochastic process

Abstract

Probability density evolution of an insect population is discussed by taking non linear stochastic differential equations for the growth and also using the related Fokker-Plank equations for the probability densities which are time dependent. It can be seen that the variance behavior depends on initial conditions whereas the effect of initial conditions disappears rapidly in mean case. We can observe the difference in the response of mean and variance as the growth of insects proceeds. It is found that variance of the process may increase monotonically to a level above the steady state variance before getting back to steady state variance.