Compatibility of local and global stability conditions for some discrete population models

DOI10.1007/s11071-009-9545-5zbMath1183.92067OpenAlexW2083541778MaRDI QIDQ2380562

Samir H. Saker

Publication date: 29 March 2010

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-009-9545-5

zbMATH Keywords

local stability

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30)

Related Items (3)

Rebuttal of ``Compatibility of local and global stability conditions for some discrete population models, by S.H. Saker ⋮ Response to the rebuttal by Eduardo Liz ⋮ Global asymptotical stability of the positive equilibrium of a logistic competitive model

Cites Work

• Delay differential equations: with applications in population dynamics
• Chaos, noise, and extinction in models of population growth
• On global stability of discrete population models
• Local and global stability for population models
• Stability of discrete one-dimensional population models
• A note on stability of discrete population models
• Stability in a population model
• Some stability conditions for discrete-time single species models
• Global stability of population models
• A delayed-recruitment model of population dynamics, with an application to baleen whale populations
• A note on difference-delay equations
• Global bifurcation for discrete competitive systems in the plane
• Population models: Stability in one dimension
• A global attractivity result for maps with invariant boxes
• Local stability implies global stability in some one-dimensional discrete single-species models
• Global stability in population models
• Period Three Implies Chaos
• Stable Orbits and Bifurcation of Maps of the Interval
• Stability of Hyperbolic and Nonhyperbolic Fixed Points of One-dimensional Maps
• Deterministic Nonperiodic Flow
• Simple mathematical models with very complicated dynamics
• On the enveloping method and the existence of global Lyapunov functions
• On the Cushing–Henson conjecture, delay difference equations and attenuant cycles
• When does local asymptotic stability imply global attractivity in rational equations?
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Compatibility of local and global stability conditions for some discrete population models