Applications of Perron-Frobenius theory to population dynamics
نویسندگان
چکیده
منابع مشابه
Applications of Perron-Frobenius theory to population dynamics.
By the use of Perron-Frobenius theory, simple proofs are given of the Fundamental Theorem of Demography and of a theorem of Cushing and Yicang on the net reproductive rate occurring in matrix models of population dynamics. The latter result, which is closely related to the Stein-Rosenberg theorem in numerical linear algebra, is further refined with some additional nonnegative matrix theory. Whe...
متن کامل2 00 1 Applications of Perron - Frobenius Theory to Population Dynamics
By the use of Perron-Frobenius theory, simple proofs are given of the Fundamental Theorem of Demography and of a theorem of Cushing and Yicang on the net reproductive rate occurring in matrix models of population dynamics. The latter result is further refined with some additional nonnegative matrix theory. When the fertility matrix is scaled by the net reproductive rate, the growth rate of the ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2002
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s002850100132