๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Models for age structured populations with distributed maturation rates

โœ Scribed by Richard E. Plant; L. T. Wilson

Publisher
Springer
Year
1986
Tongue
English
Weight
912 KB
Volume
23
Category
Article
ISSN
0303-6812

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Analytic approach for age-structured pop
Analytic approach for age-structured populations with genetic mutations
โœ Nobuyasu Ito ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 433 KB

A general mathematical formulation for the age-structured population model with genetic mutations is given. The probability of genetic mutations are expressed by a matrix named the "mutation matrix". The steady state of the Penna-type models with XOR-and OR-type mutations are analyzed. The mutation

Asymptotic Behavior of an Age-Structured
Asymptotic Behavior of an Age-Structured Population Model and Optimal Maturation Age
โœ A. Calsina; O. El idrissi ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 126 KB

A continuous age-structured population model with two population groups, juveniles and adults, and with a dynamics for the resource, is considered. The only density dependence is through a uniform increase of the death rates. A complete description of the asymptotic behavior of the population dynami