A dynamic dichotomy for a system of hierarchical difference equations

DOI10.1080/10236198.2011.628319zbMath1237.39013OpenAlexW2018411294MaRDI QIDQ3225486

Jim M. Cushing

Publication date: 21 March 2012

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

Full work available at URL: https://doi.org/10.1080/10236198.2011.628319

zbMATH Keywords

stabilitybifurcationpositive conepopulation dynamicsequilibriaperiodic cyclessystem of difference equationsdynamic dichotomysynchronous cyclesnonlinear matrix modelshierarchical difference equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)

Related Items (5)

Evolutionary dynamics of a multi-trait semelparous model ⋮ Fast Dispersal in Semelparous Populations ⋮ Stable bifurcations in semelparous Leslie models ⋮ A nonlinear continuous-time model for a semelparous species ⋮ Synchrony and the Dynamic Dichotomy in a Class of Matrix Population Models

Cites Work

• Three stage semelparous Leslie models
• Single-class orbits in nonlinear Leslie matrix models for semelparous populations
• Year class coexistence or competitive exclusion for strict biennials?
• Nonlinear semelparous Leslie models
• Nonexistence of Synchronous Orbits and Class Coexistence in Matrix Population Models
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS

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