Extinction, periodicity and multistability in a Ricker model of stage-structured populations

DOI10.1080/10236198.2015.1123707zbMath1342.39006arXiv1509.08132OpenAlexW2237083427MaRDI QIDQ3185997

Nika Lazaryan, Hassan Sedaghat

Publication date: 8 August 2016

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

Full work available at URL: https://arxiv.org/abs/1509.08132

zbMATH Keywords

periodic solutionsextinctionperiodic parametersstage-structuredmultistablenon-periodic solutionsricker model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Additive difference equations (39A10) Periodic solutions of difference equations (39A23) Chaotic behavior of solutions of difference equations (39A33)

Related Items

Stochastic sensitivity analysis of noise-induced extinction in the Ricker model with delay and allee effect ⋮ Extinction and the Allee effect in an age structured Ricker population model with inter-stage interaction ⋮ Periodic and non-periodic solutions in a Ricker-type second-order equation with periodic parameters ⋮ Analytic invariant curves for an iterative equation related to Ricker-type second-order equation

Cites Work

• Global dynamics in a stage-structured discrete-time population model with harvesting
• A juvenile-adult model with periodic vital rates
• Global attractivity in a class of non-autonomous, nonlinear, higher order difference equations
• Form Symmetries and Reduction of Order in Difference Equations
• A discrete two-stage population model: continuous versus seasonal reproduction
• Period Three Implies Chaos
• Global attractivity and convergence to a two-cycle in a difference equation
• Folding, cycles and chaos in planar systems
• Harvesting and predation of a sex- and age-structured population
• Semiconjugate factorizations of higher order linear difference equations in rings
• ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS