Title of article
Parameter Estimation of Lotka‐Volterra Model : A Two‐Step Model
Author/Authors
Rahman, Haliza Abd. Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematical Sciences, Malaysia , Bahar, Arifah Universiti Teknologi Malaysia - Faculty of Science - Department of Mathematics, Malaysia , Rosli, Norhayati Universiti Malaysia Pahang - Faculty of Industrial Science and Technology, Malaysia
From page
21
To page
25
Abstract
The deterministic power law logistic model is used to describe density-dependent population growth for cases when ordinary logistic model is found to be insufficient. This paper estimates the parameters of stochastic power law logistic model specifically the Lotka-Volterra model by employing the two-step approach. The Bayesian approach is implemented in the first step of estimating the regression splineparameters. Combining the existing and proposed nonparametric criterion, the structural parameters of SDE are estimated in the second step. Results indicate high percentage of accuracy of the estimated diffusion parameter of Lotka-Volterra model supporting the adequacy of the proposed criterion as an alternative to the classical methods.
Keywords
Stochastic differential equation , regression spline , Bayesian approach , truncated power series basis , Lotka , Volterra model
Journal title
Jurnal Teknologi :F
Journal title
Jurnal Teknologi :F
Record number
2715964
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