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The problem of time unit in Leslie's population model

โœ Scribed by Paul Cull

Publisher
Springer
Year
1980
Tongue
English
Weight
408 KB
Volume
42
Category
Article
ISSN
1522-9602

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โœฆ Synopsis

The conditions that will allow the lumping together of several age classes in the Leslie model are investigated_ We show that if the lumping is to be valid for all population distributions, then the parameters of the model must be periodic. Lumping is valid when the population is in equilibrium, but equilibrium should be tested before the model is lumped_

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โœ Giuseppe Izzo; Antonia Vecchio ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 179 KB

We present a set of difference equations which represents the discrete counterpart of a large class of continuous model concerning the dynamics of an infection in an organism or in a host population. The limiting behavior of the discrete model is studied and a threshold parameter playing the role of