A conjecture on the stability of the periodic solutions of Ricker's equation with periodic parameters

DOI10.1016/j.amc.2010.05.049zbMath1201.39015OpenAlexW1983022554WikidataQ123149846 ScholiaQ123149846MaRDI QIDQ603091

Robert J. Sacker, Hubertus F. von Bremen

Publication date: 5 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.049

zbMATH Keywords

periodic solutionsnumerical examplesglobal stabilitypopulation dynamicsmalariaRicker equationperiodic difference equationmosquitoes

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30) Numerical methods for difference equations (65Q10)

Related Items (5)

Discrete Melnikov functions ⋮ Parrondo's dynamic paradox for the stability of non-hyperbolic fixed points ⋮ Stochastic periodic solution and persistence of a nonautonomous impulsive system with nonlinear self-interaction ⋮ Dichotomy between a generalized Lyness difference equation with period-two coefficients and its perturbation ⋮ ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS

Cites Work

• Stable periodic solutions in a discrete periodic logistic equation
• Simple mathematical models for interacting wild and transgenic mosquito populations
• A note on periodic Ricker maps
• Basin of Attraction of Periodic Orbits of Maps on the Real Line
• A three-stage discrete-time population model: continuous versus seasonal reproduction
• Dynamic reduction with applications to mathematical biology and other areas
• Attenuant cycles of population models with periodic carrying capacity
• Heterogeneity in modelling of mosquito populations with transgenic mosquitoes
• Unnamed Item
• Unnamed Item

This page was built for publication: A conjecture on the stability of the periodic solutions of Ricker's equation with periodic parameters