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Mathematical models in homeland secu...

Liu, Yifan.

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Mathematical models in homeland security.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical models in homeland security./
Author:	Liu, Yifan.
Description:	93 p.
Notes:	Adviser: Lawrence M. Wein.
Contained By:	Dissertation Abstracts International67-05B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3219325
ISBN:	9780542707605

Mathematical models in homeland security.
Liu, Yifan.

Mathematical models in homeland security. - 93 p.

Adviser: Lawrence M. Wein.

Thesis (Ph.D.)--Stanford University, 2006.

Part Two is about the national security concern arising from the large amount of illegal immigrants across the US-Mexico border.

ISBN: 9780542707605Subjects--Topical Terms:

515831
Mathematics.

Mathematical models in homeland security.
LDR:03219nam 2200337 a 45 001 970783
005 20110921
008 110921s2006 eng d
020 $a 9780542707605
035 $a (UMI)AAI3219325
035 $a AAI3219325
040 $a UMI $c UMI
100 1 $a Liu, Yifan. $3 1294825
245 1 0 $a Mathematical models in homeland security.
300 $a 93 p.
500 $a Adviser: Lawrence M. Wein.
500 $a Source: Dissertation Abstracts International, Volume: 67-05, Section: B, page: 2814.
502 $a Thesis (Ph.D.)--Stanford University, 2006.
520 $a Part Two is about the national security concern arising from the large amount of illegal immigrants across the US-Mexico border.
520 $a Ever since September 11th'attack, homeland security has been a major concern for the US government and people. In this thesis, we illustrate how the knowledge in differential equations, linear algebra, numerical analysis, stochastic processes, probability and statistics, combined with the methodology of operations research, can be employed to build mathematical models and to infer some suggestions for homeland security issues. The thesis is composed of two parts, each of which deals with a concrete topic in homeland security.
520 $a Part One is about a bioterror attack in the food supply chain, which is one of the greatest threats to humans. We first consider a deliberate release of botulinum toxin in milk and develop a mathematical model of a cows-to-consumers supply chain associated with a single milk-processing facility that is the victim of this release. According to our numerical results, timely and specific in-process testing is strongly recommended.
520 $a Second, we analyze a generic attack. We derive mathematical expressions for the mean number of casualties resulting from a deliberate release. These simple formulas can be used by the U.S. Government and the food industry to prioritize the threats from food terrorism and to allocate security and mitigation resources appropriately.
520 $a Nearly all male adults illegally crossing the US-Mexico border, most of whom are Mexicans, are seeking employment, although a few may be terrorists. We are particularly interested in the impact of immigration strategies on the probability for an OTM (Other than Mexican) terrorist to enter the country, which is based on four models: (a) DRO (Detention and Removal Operations) Model, (b) Discrete Choice Model, (c) Border Apprehension Model, and (d) Illegal Wage Model.
520 $a These four models explain the inter-relationship among four key variables---crossing rate, apprehension probability, removal probability, and illegal wage, which are also affected by other factors, such as detention policy, DRO beds, work site enforcement and legalization policy. Numerical results and discussions are given based on the model parameters existing or estimated from the data provided.
590 $a School code: 0212.
650 4 $a Mathematics. $3 515831
650 4 $a Operations Research. $3 626629
690 $a 0405
690 $a 0796
710 2 0 $a Stanford University. $3 754827
773 0 $t Dissertation Abstracts International $g 67-05B.
790 $a 0212
790 1 0 $a Wein, Lawrence M., $e advisor
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3219325