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Complex Discrete Dynamics from Simple Continuous Population Models

✍ Scribed by Javier G.P. Gamarra; Ricard V. Solé

Publisher
Springer
Year
2002
Tongue
English
Weight
343 KB
Volume
64
Category
Article
ISSN
1522-9602

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✦ Synopsis

Nonoverlapping generations have been classically modelled as difference equations in order to account for the discrete nature of reproductive events. However, other events such as resource consumption or mortality are continuous and take place in the within-generation time. We have realistically assumed a hybrid ODE bidimensional model of resources and consumers with discrete events for reproduction. Numerical and analytical approaches showed that the resulting dynamics resembles a Ricker map, including the doubling route to chaos. Stochastic simulations with a handling-time parameter for indirect competition of juveniles may affect the qualitative behaviour of the model.

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