On a difference equation with exponentially decreasing nonlinearity

DOI10.1155/2011/147926zbMath1229.92017OpenAlexW2022620637WikidataQ58655417 ScholiaQ58655417MaRDI QIDQ659488

Elena Braverman, Samir H. Saker

Publication date: 23 January 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/147926

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Medical applications (general) (92C50) Stability of solutions to ordinary differential equations (34D20) Physiology (general) (92C30) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for difference equations (39A30)

Related Items (4)

An investigation on the Lasota-Wazewska model with a piecewise constant argument ⋮ On existence and global attractivity of periodic solutions of nonlinear delay differential equations ⋮ Multiple positive periodic solutions for a functional difference system ⋮ Modelling and almost periodic processes in impulsive Lasota-Wazewska equations of fractional order with time-varying delays

Cites Work

• Unnamed Item
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• Periodicity and global dynamics of an impulsive delay Lasota-Wazewska model
• Qualitative analysis of discrete nonlinear delay survival red blood cells model
• Linearized oscillation theory for a nonlinear equation with a distributed delay
• On the existence of almost periodic solutions for the impulsive Lasota-Ważewska model
• Local and global stability for population models
• Linearized oscillations in population dynamics
• Global attractivity of delay difference equations
• Almost periodic solutions of Lasota-Wazewska-type delay differential equation
• Linearized oscillation theory for a nonlinear delay impulsive equation.
• Attractivity properties of infinite delay Mackey-Glass type equations
• Existence and global attractivity of positive periodic solution for an impulsive Lasota--Wazewska model
• Asymptotic properties of the positive equilibrium of a discrete survival model
• Permanence, oscillation and attractivity of the discrete hematopoiesis model with variable coefficients
• Global attractivity of \(x_{n+1} = (1-\alpha) x_{n}+\beta e^{-\gamma} x_{n-k}\)
• Population models: Stability in one dimension
• Existence and global attractivity of unique positive periodic solution for a Lasota--Wazewska model
• On linear perturbations of the Ricker model
• Local stability implies global stability in some one-dimensional discrete single-species models
• GLOBALLY DYNAMICAL BEHAVIORS FOR DISCRETE LASOTA–WAZEWSKA MODEL WITH SEVERAL DELAYS AND ALMOST PERIODIC COEFFICIENTS
• The dynamics of some discrete population models
• Stable Orbits and Bifurcation of Maps of the Interval
• On global stability in a nonlinear discrete model
• Solution multistability in first‐order nonlinear differential delay equations
• Oscillation and Chaos in Physiological Control Systems
• Convergence to equilibria in discrete population models
• Oscillation and global attractivity in a discrete survival red blood cells model
• A global stability criterion for a family of delayed population models
• Chaos and population disappearances in simple ecological models

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