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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 5368 times. Download 1359 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

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全文.pdf Date of Submission 2000-07-18