Volume no :11, Issue no: 1, September (2011)

Journal of Mathematical Sciences: Advances and Applications

STOCHASTIC DYNAMICAL LOGISTIC POPULATION GROWTH MODEL

Author's: MORTEZA KHODABIN and NEDA KIAEE
Pages: [11] - [29]
Received Date: August 12, 2011
Submitted by:

Abstract

In this paper, we introduce stochastic logistic population growth model. The existence, uniqueness, and asymptotic stability of the solution is discussed. The nonlinear stochastic differential equation of this model is solved numerically. We apply Iran population data in period 1921-2006 for more illustration. The result shows that the approximate solutions have a good degree of accuracy.

Keywords

Brownian motion process, Itô integral, Itô process, one-dimensional Itô formula, logistic growth model.