The concept of repulsivity in dynamical systems as motivated by persistence problems in population biology

DOI10.1080/00207727908941627zbMath0413.93006OpenAlexW1977599067MaRDI QIDQ3048654

Hans-Rolf Gregorius

Publication date: 1979

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207727908941627

zbMATH Keywords

dynamical systemsLyapunov functionsdiscrete-timepopulation biologycontinuous-timepersistence problemsrepulsivity

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Population dynamics (general) (92D25) General systems (93A10) Model systems in control theory (93C99)

Related Items (4)

A supplementary note on the dynamics of the model of gametophytic incompatibility ⋮ The stability under perturbations of repulsive sets ⋮ Population trajectories for single locus additive fecundity selection and related selection models ⋮ Viability-fecundity selection at a single multiallelic locus in random mating populations: Protectedness of an allele

Cites Work

• Über die Anwendung der Methode von Ljupanov auf Differenzengleichungen
• Class of discrete Liapunov functions
• Stability theory by Liapunov's direct method
• Iterations of continuous mappings on metric spaces Asymptotic stability and Lyapunov functions
• A Characterization of Local Convergence for Fixed Point Iterations in $R^1 $
• Period Three Implies Chaos

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