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Demographic Applications of Random Matrix Products

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.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0718100-153257
Date18 July 2000
CreatorsJu, Fang-Yn
ContributorsTsai-Lien Wong, Jhishen Tsay, Yenkun Huang
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0718100-153257
Rightsunrestricted, Copyright information available at source archive

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