Models for Populations with Age Structure

  • Fred Brauer
  • Carlos Castillo-Chávez
Part of the Texts in Applied Mathematics book series (TAM, volume 40)


In the preceding chapters we studied mainly models in which all members were alike, so that birth and death rates depended on total population size. However, we gave a few examples of populations with two classes of members and a birth rate that depended on the size of only one of the two classes, for discrete models in Section 2.6 and for continuous models in Section 3.3. These are examples of structured populations. In this chapter we shall study models for populations structured by age. In practice, animal populations are often measured by size with age structure used as an approximation to size structure. The study of age-structured models is considerably simpler than the study of general size-structured models, primarily because age increases linearly with the passage of time while the linkage of size with time may be less predictable. Age-structured models may be either discrete or continuous. We shall begin with linear models, for which total population size generally either increases or decreases over time.


Volterra Integral Equation Total Population Size Renewal Equation Renewal Condition Leslie Matrix 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Fred Brauer
    • 1
  • Carlos Castillo-Chávez
    • 2
    • 3
  1. 1.Department of MathematicsUniversity of British ColumbiaVancouverCanada
  2. 2.Dept. of Theoretical and Applied MechanicsMathematical and Theoretical Biology InstituteUSA
  3. 3.Biometrics DepartmentCornell UniversityIthacaUSA

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