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Size-Structured Population Model wit...

Li, Xinyu.

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Size-Structured Population Model with Distributed States in The Recruitment: Approximation and Parameter Estimation.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Size-Structured Population Model with Distributed States in The Recruitment: Approximation and Parameter Estimation./
Author:	Li, Xinyu.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2017,
Description:	71 p.
Notes:	Source: Dissertation Abstracts International, Volume: 78-04(E), Section: B.
Contained By:	Dissertation Abstracts International78-04B(E).
Subject:	Materials science. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10163274
ISBN:	9781369179668

Size-Structured Population Model with Distributed States in The Recruitment: Approximation and Parameter Estimation.
Li, Xinyu.

Size-Structured Population Model with Distributed States in The Recruitment: Approximation and Parameter Estimation. - Ann Arbor : ProQuest Dissertations & Theses, 2017 - 71 p.

Source: Dissertation Abstracts International, Volume: 78-04(E), Section: B.

Thesis (Ph.D.)--University of Louisiana at Lafayette, 2017.

We consider a size-structured population model where individuals may be recruited into the population at different sizes. First and second order finite difference schemes are developed to approximate the solution of the model. The convergence of the approximations to a unique weak solution is proved. We then show that as the distribution of the new recruits become concentrated at the smallest size, the weak solution of the distributed states-at-birth model converges to the weak solution of the classical Sinko-Streifer type size-structured model in the weak* topology. Numerical simulations are provided to demonstrate the achievement of the desired accuracy of the two methods for smooth solutions as well as the superior performance of the second-order method in resolving solution-discontinuities. A least-squares method is developed for estimating parameters in a size-structured population model with distributed states-at-birth from field data. The first and second order finite difference schemes for approximating solution of the model are utilized in the least-squares problem. Convergence results for the computed parameters are established. Numerical results demonstrating the efficiency of the technique are provided.

ISBN: 9781369179668Subjects--Topical Terms:

543314
Materials science.

Size-Structured Population Model with Distributed States in The Recruitment: Approximation and Parameter Estimation.
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260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2017
300 $a 71 p.
500 $a Source: Dissertation Abstracts International, Volume: 78-04(E), Section: B.
500 $a Adviser: Azmy S. Ackleh.
502 $a Thesis (Ph.D.)--University of Louisiana at Lafayette, 2017.
520 $a We consider a size-structured population model where individuals may be recruited into the population at different sizes. First and second order finite difference schemes are developed to approximate the solution of the model. The convergence of the approximations to a unique weak solution is proved. We then show that as the distribution of the new recruits become concentrated at the smallest size, the weak solution of the distributed states-at-birth model converges to the weak solution of the classical Sinko-Streifer type size-structured model in the weak* topology. Numerical simulations are provided to demonstrate the achievement of the desired accuracy of the two methods for smooth solutions as well as the superior performance of the second-order method in resolving solution-discontinuities. A least-squares method is developed for estimating parameters in a size-structured population model with distributed states-at-birth from field data. The first and second order finite difference schemes for approximating solution of the model are utilized in the least-squares problem. Convergence results for the computed parameters are established. Numerical results demonstrating the efficiency of the technique are provided.
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856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10163274