Dynamics of a discontinuous discrete Beverton–Holt model

DOI10.1080/10236198.2013.824968zbMath1295.39009OpenAlexW1991317295MaRDI QIDQ4979812

Yevgeniy Kostrov, Vlajko L. Kocic

Publication date: 19 June 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.824968

zbMATH Keywords

numerical exampleoscillationperiodicitybifurcationglobal attractorpositive solutionpopulation dynamicspositive equilibriumrational difference equationdiscontinuous mapBeverton-Holt equationsemi-cycle

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30) Oscillation theory for difference equations (39A21)

Related Items (2)

Optimal harvesting policy for the Beverton-Holt model ⋮ A unifying approach to discrete single-species populations models

Cites Work

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• Piecewise-smooth dynamical systems. Theory and applications
• Corner bifurcations in nonsmoothly forced impact oscillators
• A note on the nonautonomous delay Beverton–Holt model
• BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS
• Complex behaviour in a piecewise linear dynamic macroeconomic model with endogenous discontinuity
• Dynamics of a piecewise linear map with a gap
• A note on the nonautonomous Beverton-Holt model

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