A discrete-time model for cryptic oscillations in predator-prey systems

DOI10.1016/j.physd.2009.09.007zbMath1186.37107OpenAlexW2149927416WikidataQ115567784 ScholiaQ115567784MaRDI QIDQ1045866

Alfred Ramani, Ralph Willox, Basile Grammaticos

Publication date: 16 December 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.09.007

zbMATH Keywords

cellular automatapredator-prey systemsdiscrete-time modelscryptic oscillationsecological coupling

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40) Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15)

Related Items (7)

Stability for a new discrete ratio-dependent predator-prey system ⋮ GLOBAL ASYMPTOTIC STABILITY FOR A TWO-SPECIES DISCRETE RATIO-DEPENDENT PREDATOR–PREY SYSTEM ⋮ Multiple Bifurcations of a Discrete-Time Prey–Predator Model with Mixed Functional Response ⋮ Modeling Cooperation and Competition in Biological Communities ⋮ Discretising systematically the Painlevé equations ⋮ Analysis of stability for a discrete ratio-dependent predator-prey system ⋮ Dynamics of a Discrete Prey–Predator Model with Mixed Functional Response

Cites Work

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• Epidemic dynamics: discrete-time and cellular automaton models
• Effects of rapid prey evolution on predator-prey cycles
• Discretization-induced delays and their role in the dynamics
• A Generalization of a Theorem of Bôcher

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