Global asymptotic stability for discrete single species population models

DOI10.1155/2017/5963594zbMath1370.92126OpenAlexW2624693858WikidataQ59143231 ScholiaQ59143231MaRDI QIDQ2403887

Arzu Bilgin, Mustafa R. S. Kulenović

Publication date: 12 September 2017

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/5963594

zbMATH Keywords

equilibrium solutionsBeverton-Holt modelAllee's effectJillson's effect

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30)

Related Items (9)

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Cites Work

• Signature function for predicting resonant and attenuant population 2-cycles
• Attenuant cycles in periodically forced discrete-time age-structured population models
• Competitive-exclusion versus competitive-coexistence for systems in the plane
• Globally attracting attenuant versus resonant cycles in periodic compensatory Leslie models
• Attractivity and global stability for linearizable difference equations
• Periodic competitive differential equations and the discrete dynamics of competitive maps
• Discrete time models for two-species competition
• The effect of periodic habitat fluctuations on a nonlinear insect population model
• Attractors for discrete periodic dynamical systems.
• Basins of attraction of period-two solutions of monotone difference equations
• A global attractivity result for maps with invariant boxes
• Global Dynamics of Some Periodically Forced, Monotone Difference Equations
• INVARIANT MANIFOLDS FOR COMPETITIVE DISCRETE SYSTEMS IN THE PLANE
• Invariant Curves for Mappings
• Nonlinear Aspects of Competition Between Three Species
• Periodically forced nonlinear systems of difference equations
• Planar competitive and cooperative difference equations
• Compensatory versus Overcompensatory Dynamics in Density-dependent Leslie Models
• On second-order rational difference equations, Part 2
• Monotone maps: a review
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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