A Maximum Likelihood Estimation Framework for Delay Logistic Differential Equation Model

被引：3
|
作者：
Mahmoud, Ahmed Adly [1 ]
Dass, Sarat Chandra [1 ]
Muthuvalu, Mohana S. [2 ]
机构：
[1] Univ Teknol PETRONAS, Fundamental & Appl Sci Dept, Fac Sci & Informat Technol, Seri Iskandar 32610, Perak, Malaysia
[2] Univ Teknol PETRONAS, Fac Geosci & Petr Engn, Dept Petr Engn, Seri Iskandar 32610, Perak, Malaysia
来源：
PROCEEDING OF THE 4TH INTERNATIONAL CONFERENCE OF FUNDAMENTAL AND APPLIED SCIENCES 2016 (ICFAS2016) | 2016年 / 1787卷
关键词：
CENSUS COUNT; CURVE;
D O I：
10.1063/1.4968140
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
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 (R) 8.0 R2012b.
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页数：6
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