Compensatory versus Overcompensatory Dynamics in Density-dependent Leslie Models

DOI10.1080/10236190410001652711zbMath1061.92047OpenAlexW2045365171MaRDI QIDQ4658737

Abdul-Aziz Yakubu, Mustafa R. S. Kulenović

Publication date: 18 March 2005

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

Full work available at URL: https://doi.org/10.1080/10236190410001652711

zbMATH Keywords

age-structureAllee effectmultiple attractorscompensatory dynamics

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Additive difference equations (39A10)

Related Items (15)

Attenuant cycles in periodically forced discrete-time age-structured population models ⋮ Compensatory and overcompensatory dynamics in prey-predator systems exposed to harvest ⋮ Discrete-time exploited fish epidemic models ⋮ Globally attracting attenuant versus resonant cycles in periodic compensatory Leslie models ⋮ Spatially discrete metapopulation models with directional dispersal ⋮ Global asymptotic stability for discrete single species population models ⋮ The evolutionary dynamics of a population model with a strong Allee effect ⋮ Evolutionary dynamics and strong Allee effects ⋮ General Allee effect in two-species population biology ⋮ Global asymptotic behavior of \(y_{n+1}=(py_{n}+y_{n - 1})/(r+qy_{n}+y_{n - 1})\) ⋮ Allee effects in a discrete-time host-parasitoid model ⋮ Basins of attraction of period-two solutions of monotone difference equations ⋮ Global attractors for difference equations dominated by one-dimensional maps ⋮ Basins of attraction of equilibrium and boundary points of second-order difference equations ⋮ Allee effects in a discrete-time SIS epidemic model with infected newborns

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