Multiple extinctions in a discrete competitive system

DOI10.1016/S0362-546X(99)00282-5zbMath1014.92038OpenAlexW1966143445WikidataQ127680229 ScholiaQ127680229MaRDI QIDQ5928955

John E. Franke, David M. Chan

Publication date: 21 July 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00282-5

zbMATH Keywords

competitionextinctionLyapunov functionsomega limit setsweak dominance

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (10)

Stability for a new discrete ratio-dependent predator-prey system ⋮ The persistence and global attractivity in general nonautonomous discrete single-species Kolmogorov model with delays ⋮ Bifurcations analysis and tracking control of an epidemic model with nonlinear incidence rate ⋮ An impulsive multi-delayed feedback control method for stabilizing discrete chaotic systems ⋮ Probabilities of extinction, weak extinction permanence, and mutual exclusion in discrete, competitive, Lotka-Volterra systems ⋮ Probabilities of extinction, weak extinction, permanence, and mutual exclusion in discrete, competitive, Lotka-Volterra systems that involve invading species ⋮ Permanence criteria for general delayed discrete nonautonomous \(n\)-species Kolmogorov systems and its applications ⋮ Asymptotic stability for difference equations with decreasing arguments ⋮ On the stability in a discrete two-species competition system ⋮ Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system

Cites Work

• Coexistence for systems governed by difference equations of Lotka- Volterra type
• Mutual exclusion versus coexistence for discrete competitive systems
• Geometry of exclusion principles in discrete systems
• Discrete time models for two-species competition
• Extinction of species in age-structured, discrete noncooperative systems
• STABLE PERIODIC BEHAVIOR IN A PIONEER-CLIMAX MODEL
• Extinction in nonautonomous competitive Lotka-Volterra systems
• Species extinction using geometry of level surfaces
• Extinction in Competitive Lotka-Volterra Systems

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