ISSN:
1432-1416
Keywords:
Age-structured population models
;
Distributed maturation rates
;
Delay differential equations
;
Leslie matrix
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract In the use of age structured population models for agricultural applications such as the modeling of crop-pest interactions it is often essential that the model take into account the distribution in maturation rates present in some or all of the populations. The traditional method for incorporating distributed maturation rates into crop and pest models has been the so-called “distributed delay” method. In this paper we review the application of the distributed delay formalism to the McKendrick equation of an age structured population. We discuss the mathematical properties of the system of ordinary differential equations arising out of the distributed delay formalism. We then discuss an alternative method involving modification of the Leslie matrix.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00276960
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