Linear Birth-Immigration-Death Models

  • James H. Matis
  • Thomas R. Kiffe
Part of the Lecture Notes in Statistics book series (LNS, volume 145)


Consider now modeling the single population of sizeX (t)with linear birth and death rates:
$$ {\lambda _X} = {a_1}Xand\mu x = {a_1}X. $$
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.


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Copyright information

© Springer-Verlag New York, Inc. 2000

Authors and Affiliations

  • James H. Matis
    • 1
  • Thomas R. Kiffe
    • 2
  1. 1.Department of StatisticsTexas A&M UniversityCollege StationUSA
  2. 2.Department of MathematicsTexas A&M UniversityCollege StationUSA

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