A maximum likelihood estimation framework for delay logistic differential equation model

This paper will introduce the maximum likelihood method of estimation for delay differential equation model governed by unknown delay and other parameters of interest followed by a numerical solver approach. As an example we consider the delayed logistic differential equation. A grid based estimatio...

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Main Authors: Mahmoud, A.A., Dass, S.C., Muthuvalu, M.S.
Format: Conference or Workshop Item
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.30592 /
Published: American Institute of Physics Inc. 2016
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85006056434&doi=10.1063%2f1.4968140&partnerID=40&md5=bb914734d00b55a5a7e35dd9083e6baa
http://eprints.utp.edu.my/30592/
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recordtype eprints
spelling utp-eprints.305922022-03-25T07:12:11Z A maximum likelihood estimation framework for delay logistic differential equation model Mahmoud, A.A. Dass, S.C. Muthuvalu, M.S. This paper will introduce the maximum likelihood method of estimation for delay differential equation model governed by unknown delay and other parameters of interest followed by a numerical solver approach. As an example we consider the delayed logistic differential equation. A grid based estimation framework is proposed. Our methodology estimates correctly the delay parameter as well as the initial starting value of the dynamical system based on simulation data. The computations have been carried out with help of mathematical software: MATLAB® 8.0 R2012b. © 2016 Author(s). American Institute of Physics Inc. 2016 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85006056434&doi=10.1063%2f1.4968140&partnerID=40&md5=bb914734d00b55a5a7e35dd9083e6baa Mahmoud, A.A. and Dass, S.C. and Muthuvalu, M.S. (2016) A maximum likelihood estimation framework for delay logistic differential equation model. In: UNSPECIFIED. http://eprints.utp.edu.my/30592/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description This paper will introduce the maximum likelihood method of estimation for delay differential equation model governed by unknown delay and other parameters of interest followed by a numerical solver approach. As an example we consider the delayed logistic differential equation. A grid based estimation framework is proposed. Our methodology estimates correctly the delay parameter as well as the initial starting value of the dynamical system based on simulation data. The computations have been carried out with help of mathematical software: MATLAB® 8.0 R2012b. © 2016 Author(s).
format Conference or Workshop Item
author Mahmoud, A.A.
Dass, S.C.
Muthuvalu, M.S.
spellingShingle Mahmoud, A.A.
Dass, S.C.
Muthuvalu, M.S.
A maximum likelihood estimation framework for delay logistic differential equation model
author_sort Mahmoud, A.A.
title A maximum likelihood estimation framework for delay logistic differential equation model
title_short A maximum likelihood estimation framework for delay logistic differential equation model
title_full A maximum likelihood estimation framework for delay logistic differential equation model
title_fullStr A maximum likelihood estimation framework for delay logistic differential equation model
title_full_unstemmed A maximum likelihood estimation framework for delay logistic differential equation model
title_sort maximum likelihood estimation framework for delay logistic differential equation model
publisher American Institute of Physics Inc.
publishDate 2016
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85006056434&doi=10.1063%2f1.4968140&partnerID=40&md5=bb914734d00b55a5a7e35dd9083e6baa
http://eprints.utp.edu.my/30592/
_version_ 1741197433004621824
score 11.62408

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