Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model

Hüls T, Poetzsche C (2014)
SIAM Journal on Applied Dynamical Systems 13(4): 1442-1488.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Hüls, ThorstenUniBi; Poetzsche, Christian
Abstract / Bemerkung
We explore a planar discrete-time model from population dynamics subject to a general aperiodic time-varying environment in order to illustrate the recent theory of nonautonomous dynamical systems. Given such a setting, the mathematical standard tools from classical dynamical systems and bifurcation theory cannot be employed, since, for instance, equilibria typically do not exist or eigenvalues yield no stability information. For this reason, we apply a combination of contemporary analytical and numerical techniques adequate to tackle such situations.
Stichworte
population models; Bohl exponent; exponential dichotomy; nonautonomous bifurcation; pullback attractor; nonautonomous dynamics; numerical dynamics
Erscheinungsjahr
2014
Zeitschriftentitel
SIAM Journal on Applied Dynamical Systems
Band
13
Ausgabe
4
Seite(n)
1442-1488
ISSN
1536-0040
Page URI
https://pub.uni-bielefeld.de/record/2717677

Zitieren

Hüls T, Poetzsche C. Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model. SIAM Journal on Applied Dynamical Systems. 2014;13(4):1442-1488.
Hüls, T., & Poetzsche, C. (2014). Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model. SIAM Journal on Applied Dynamical Systems, 13(4), 1442-1488. https://doi.org/10.1137/140955434
Hüls, T., and Poetzsche, C. (2014). Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model. SIAM Journal on Applied Dynamical Systems 13, 1442-1488.
Hüls, T., & Poetzsche, C., 2014. Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model. SIAM Journal on Applied Dynamical Systems, 13(4), p 1442-1488.
T. Hüls and C. Poetzsche, “Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model”, SIAM Journal on Applied Dynamical Systems, vol. 13, 2014, pp. 1442-1488.
Hüls, T., Poetzsche, C.: Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model. SIAM Journal on Applied Dynamical Systems. 13, 1442-1488 (2014).
Hüls, Thorsten, and Poetzsche, Christian. “Qualitative Analysis of a Nonautonomous Beverton-Holt Ricker Model”. SIAM Journal on Applied Dynamical Systems 13.4 (2014): 1442-1488.

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