Approximate stationary densities, and parameter estimations for time-delayed stochastic logistic growth laws

Abstract

We consider stochastic logistic type delayed growth model (Verhulst, Gompertz, Richards) of a single species population.The objective of this paper is to deduce a procedureon the estimation of parameters. We derive approximate stationary distributions in the case of small time delays. For the estimate of parameters we apply the L¹ distance procedure. We propose approximate estimations of the parameters.