Global dynamics of a special class of nonlinear semelparous Leslie matrix models

DOI10.1080/10236198.2020.1777288zbMath1466.39015OpenAlexW3036237794MaRDI QIDQ4991424

Ryusuke Kon, Yunshyong Chow

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1080/10236198.2020.1777288

zbMATH Keywords

asymptotic behaviourglobal asymptotic stabilityLeslie-Gower modelcyclic symmetryperiodical insectKolmogorov difference equationsemelparous Leslie matrix model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability theory for difference equations (39A30)

Cites Work

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• On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex
• Three stage semelparous Leslie models
• Single-class orbits in nonlinear Leslie matrix models for semelparous populations
• The discrete dynamics of symmetric competition in the plane
• On Ebenman's model for the dynamics of a population with competing juveniles and adults
• Stable bifurcations in multi-species semelparous population models
• On synchronization in semelparous populations
• Year class coexistence or competitive exclusion for strict biennials?
• The winner takes it all: how semelparous insects can become periodical
• On a discrete three-dimensional Leslie-Gower competition model
• Discrete May-Leonard competition models. II
• A hybrid model for the population dynamics of periodical cicadas
• Nonlinear semelparous Leslie models
• On a discrete selection–mutation model
• Global stability of higher dimensional monotone maps
• THE PROPERTIES OF A STOCHASTIC MODEL FOR TWO COMPETING SPECIES
• Stable bifurcations in semelparous Leslie models
• Planar competitive and cooperative difference equations
• Global stability of discrete-time competitive population models
• Some Discrete Competition Models and the Competitive Exclusion Principle^†
• Discrete May–Leonard Competition Models I
• Exclusion and dominance in discrete population models via the carrying simplex
• On multidimensional discrete-time Beverton–Holt competition models