Parameter Estimation of Lotka-Volterra Model: A Two-Step Model

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...

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Main Authors: Haliza, Abdul Rahman, Arifah, Bahar, Norhayati, Rosli
Format: Article
Language:English
English
Published: Penerbit Universiti Teknologi Malaysia 2013
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/6298/
http://umpir.ump.edu.my/id/eprint/6298/
http://umpir.ump.edu.my/id/eprint/6298/1/Parameter_Estimation_of_Lotka-Volterra_Model-A_Two-Step_Model.pdf
http://umpir.ump.edu.my/id/eprint/6298/4/Parameter%20Estimation%20of%20Lotka-Volterra%20Model%20-%20A%20Two-Step%20Model.pdf
id ump-6298
recordtype eprints
spelling ump-62982015-11-30T08:25:27Z http://umpir.ump.edu.my/id/eprint/6298/ Parameter Estimation of Lotka-Volterra Model: A Two-Step Model Haliza, Abdul Rahman Arifah, Bahar Norhayati, Rosli Q Science (General) 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 spline parameters. 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. Penerbit Universiti Teknologi Malaysia 2013 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/6298/1/Parameter_Estimation_of_Lotka-Volterra_Model-A_Two-Step_Model.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/6298/4/Parameter%20Estimation%20of%20Lotka-Volterra%20Model%20-%20A%20Two-Step%20Model.pdf Haliza, Abdul Rahman and Arifah, Bahar and Norhayati, Rosli (2013) Parameter Estimation of Lotka-Volterra Model: A Two-Step Model. Jurnal Teknologi (Sciences and Engineering), 63 (2). pp. 21-25. ISSN 0127-9696 (print); 2180-3722 (online) http://dx.doi.org/10.11113/jt.v63.1907
repository_type Digital Repository
institution_category Local University
institution Universiti Malaysia Pahang
building UMP Institutional Repository
collection Online Access
language English
English
topic Q Science (General)
spellingShingle Q Science (General)
Haliza, Abdul Rahman
Arifah, Bahar
Norhayati, Rosli
Parameter Estimation of Lotka-Volterra Model: A Two-Step Model
description 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 spline parameters. 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.
format Article
author Haliza, Abdul Rahman
Arifah, Bahar
Norhayati, Rosli
author_facet Haliza, Abdul Rahman
Arifah, Bahar
Norhayati, Rosli
author_sort Haliza, Abdul Rahman
title Parameter Estimation of Lotka-Volterra Model: A Two-Step Model
title_short Parameter Estimation of Lotka-Volterra Model: A Two-Step Model
title_full Parameter Estimation of Lotka-Volterra Model: A Two-Step Model
title_fullStr Parameter Estimation of Lotka-Volterra Model: A Two-Step Model
title_full_unstemmed Parameter Estimation of Lotka-Volterra Model: A Two-Step Model
title_sort parameter estimation of lotka-volterra model: a two-step model
publisher Penerbit Universiti Teknologi Malaysia
publishDate 2013
url http://umpir.ump.edu.my/id/eprint/6298/
http://umpir.ump.edu.my/id/eprint/6298/
http://umpir.ump.edu.my/id/eprint/6298/1/Parameter_Estimation_of_Lotka-Volterra_Model-A_Two-Step_Model.pdf
http://umpir.ump.edu.my/id/eprint/6298/4/Parameter%20Estimation%20of%20Lotka-Volterra%20Model%20-%20A%20Two-Step%20Model.pdf
first_indexed 2023-09-18T22:01:56Z
last_indexed 2023-09-18T22:01:56Z
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