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Mathematical models in homeland secu...
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Liu, Yifan.
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Mathematical models in homeland security.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Mathematical models in homeland security./
作者:
Liu, Yifan.
面頁冊數:
93 p.
附註:
Adviser: Lawrence M. Wein.
Contained By:
Dissertation Abstracts International67-05B.
標題:
Mathematics. -
電子資源:
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.
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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.
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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
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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.
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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.
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School code: 0212.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3219325
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