Chaos in Discrete Structured Population Models

2012/01/01 by Eduardo Liz, Alfonso Ruiz-Herrera · 1 citation
Medicine · Economics, Econometrics and Finance · Social Sciences · #Mathematical and Theoretical Epidemiology and Ecology Models #Complex Systems and Time Series Analysis #Evolutionary Game Theory and Cooperation

paper · doi:10.1137/120868980

openalex publication_date 2012/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11

Abstract

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.

Citations

• Cycle Chains and the LPA Model

Cited by

• Chaos theory [wikipedia]

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