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Erschienen in:
2000 | OriginalPaper | Buchkapitel
Linear Birth-Immigration-Death Models
verfasst von : James H. Matis, Thomas R. Kiffe
Erschienen in: Stochastic Population Models
Verlag: Springer New York
Enthalten in: Professional Book Archive
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Consider now modeling the single population of sizeX (t)with linear birth and death rates:5.1$$ {\lambda _X} = {a_1}Xand\mu x = {a_1}X. $$ The immigration rate is again assumed to beI.This is called the LBID model. Clearly this model with linear (density-independent) growth rates could hold in the case of al> a2only for periods of initial population growth. The model will be illustrated for such initial population growth for both the African bee and the muskrat examples in Chapter 2.