Journal
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
Volume 11, Issue 4, Pages 1200-1214Publisher
SIAM PUBLICATIONS
DOI: 10.1137/120868980
Keywords
chaotic dynamics; coin-tossing; structured population models; Clark equation; LPA model
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Funding
- Spanish Government
- FEDER [MTM2010-14837]
- Spanish Government [MTM2011-23652]
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We prove analytically the existence of chaotic dynamics in some classical discrete-time age-structured population models. Our approach allows us to estimate the sensitive dependence on the initial conditions, regions of initial data with chaotic behavior, and explicit ranges of parameters for which the considered models display chaos. These properties have important implications for evaluating the influence of a chaotic regime on the predictions based on mathematical models. We illustrate through particular examples how to apply our results.
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