Nonvulnerability of ecosystems in unpredictable environments

DOI10.1016/0040-5809(76)90007-1zbMath0335.92017OpenAlexW1993144628WikidataQ54117598 ScholiaQ54117598MaRDI QIDQ1229637

Bean San Goh

Publication date: 1976

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(76)90007-1

Mathematics Subject Classification ID

Population dynamics (general) (92D25) General biology and biomathematics (92B05) Stability theory for ordinary differential equations (34D99)

Related Items (22)

Maintenance of an equilibrium state in the presence of uncertain inputs† ⋮ Approximating reachable sets for a class of linear control systems† ⋮ On density and extinction in continuous population models ⋮ An existence theorem for boundary trajectories ⋮ A strategic model of material cycling in a closed ecosystem ⋮ Variability, vagueness and comparison methods for ecological models ⋮ Dynamic balance of segregation distortion and selection maintains normal allele sizes at the myotonic dystrophy locus ⋮ Global stability of predator-prey interactions ⋮ Stochastic instability and Liapunov stability ⋮ Existence of stable equilibrium point for dynamical systems of Volterra type ⋮ Mathematical models for continuous culture growth dynamics of mixed populations subsisting on a heterogeneous resource base. II. Predation and trophic structure ⋮ Stable equilibrium of systems of generalized Volterra type ⋮ Niche overlap and invasion of competitors in random environments. I. Models without demographic stochasticity ⋮ Nonvulnerability of ecosystems in unpredictable environments ⋮ Disturbed nonlinear multispecies models in ecology ⋮ Return time and vulnerability for a food chain model ⋮ Liapunov functions: Geometry and stability ⋮ A reexamination of stability in randomly varying versus deterministic environments with comments on the stochastic theory of limiting similarity ⋮ Persistent sets via Lyapunov functions ⋮ The stabilizing effect of a random environment ⋮ Estimating the effect of continual disturbances on discrete-time population models ⋮ Lyapunov approximation of reachable sets for uncertain linear systems

Cites Work

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• Stability by Liapunov's direct method. With applications
• Nonvulnerability of ecosystems in unpredictable environments
• Global stability in two species interactions
• Global convergence of some differential equation algorithms for solving equations involving positive variables

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