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URN etd-0718100-153257
Author Fang-Yn Ju
Author's Email Address jufy@math.nsysu.edu.tw
Statistics This thesis had been viewed 5064 times. Download 1200 times.
Department Applied Mathematics
Year 1999
Semester 2
Degree Master
Type of Document
Language English
Title Demographic Applications of Random Matrix Products
Date of Defense 2000-05-26
Page Count 19
Keyword
  • Leslie matrices
  • invariant measure
  • Abstract Consider a simple model of an age-structured population with two age-classes and stochastically varying survival rate of young. Let $m_{1,y},m_{2,t}$ be birth rates per capital and $P_{1,t}$ be a survival rate.
    egin{eqnarray}
    left(
    egin{array}{clr}
    N_{1,t+1}N_{2,t+1}
    end{array}
    ight)
    =
    left(
    egin{array}{clr}
    m_{1,t+1} & m_{2,t+1}
    P_{1,t+1} & 0
    end{array}
    ight)
    left(
    egin{array}{clr}
    N_{1,t}N_{2,t}
    end{array}
    ight)
    end{eqnarray}
    we want to study the large term behavior of $(N_{1,t},N_{2,t})$
    the age-structured population through the theory of random matrix product.
    Advisory Committee
  • Tsai-Lien Wong - co-chair
  • - co-chair
  • Yenkun Huang - co-chair
  • Jhishen Tsay - advisor
  • Files
  • 全文.pdf
  • indicate access worldwide
    Date of Submission 2000-07-18

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