SelectedWorks - Saber Elaydi

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Selected Works of Saber Elaydi

Professor, Mathematics

Works
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About Saber Elaydi

Present	Professor, Mathematics, Trinity University ‐ Department of Mathematics
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Physical Sciences and Mathematics, Applied Mathematics, Dynamic Systems, Non-linear Dynamics, and Other Applied Mathematics

Article

Bifurcation and invariant manifolds of the Ricker competition model

journal of biological dynamics (2011)

Saber Elaydi

We study the stability and bifurcation of all equilibrium points, including extinction, exclusion, and coexistence points. Stable , unsgtable are ...

OpenURL

Articles (3)

Article

Effects of Cholesterol in Stress-Related Neuronal Death—A Statistical Analysis ...

International Journal of Molecular Science (2020)

Maher A Dayeh, George Livadiotis, Farzan Aminian, Kwan H Cheng, et al.

The association between plasma cholesterol levels and the development of dementia continues to be an important topic of discussion in ...

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Article

A Discrete Mathematical Model for the Aggregation of β-Amyloid

PLoS ONE (2018)

Maher A Dayeh, George Livadiotis and Saber Elaydi

Dementia associated with the Alzheimer's disease is thought to be correlated with the conversion of the β − Amyloid (Aβ) ...

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Article

Global Stability of Higher Dimensional Monotone Maps

Journal of Difference Equations and Applications (2017)

Eduardo C Balreira, Saber Elaydi and Rafael Luís

We develop a notion of monotonicity for maps defined on Euclidean spaces Rk+, of arbitrary dimension k. This is a ...

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Book

Advances in Difference Equations and Discrete Dynamical Systems: ICDEA, Osaka ...

Springer (2017)

Saber Elaydi, Yoshihiro Hamaya, Hideaki Matsunaga and Christian Pötzsche

This volume contains the proceedings of the 22nd International Conference on Difference Equations and Applications, held at Osaka Prefecture University, ...

OpenURL

Book

Difference Equations, Discrete Dynamical Systems and Applications: ICDEA, Barcelona, Spain ...

Springer (2016)

Lluís Alsedà i Soler, Jim M Cushing, Saber Elaydi and Alberto A Pinto

These proceedings of the 18th International Conference on Difference Equations and Applications cover a number of different aspects of difference ...

Book

Theory and Applications of Difference Equations and Discrete Dynamical Systems ...

Springer (2014)

Ziyad AlSharawi, Jim M Cushing and Saber Elaydi

This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, ...

Book

Difference Equations and Discrete Dynamical Systems: Proceedings of the 9th ...

World Scientific (2005)

Linda J S Allen, Bernd Aulbach, Saber Elaydi and Robert Sacker

Difference Equations or Discrete Dynamical Systems is a diverse field which impacts almost every branch of pure and applied mathematics. ...

Article

Global Dynamics of Triangular Maps

Nonlinear Analysis: Theory, Methods & Applications (2014)

Eduardo C Balreira, Saber Elaydi and Rafael Luís

We consider continuous triangular maps on IN, where I is a compact interval in the Euclidean space R. We show, ...

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Article

Local Stability Implies Global Stability for the Planar Ricker Competition ...

Discrete and Continuous Dynamical Systems - Series B (2014)

Eduardo C Balreira, Saber Elaydi and Rafael Luís

Under certain analytic and geometric assumptions we show that local stability of the coexistence (positive) fixed point of the planar ...

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Article

General Allee Effect in Two-Species Population Biology

Journal of Biological Dynamics (2012)

G Livadiotis and Saber Elaydi

The main objective of this work is to present a general framework for the notion of the strong Allee effect ...

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Article

Bifurcation and Invariant Manifolds of the Logistic Competition Model

Journal of Difference Equations and Applications (2011)

M. Guzowska, Rafael Luís and Saber Elaydi

In this paper we study a new logistic competition model. We will investigate stability and bifurcation of the model. In ...

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Article

Towards a Theory of Periodic Difference Equations and Its Application ...

Springer Proceedings in Mathematics: Dynamics, Games and Science I (2011)

Saber Elaydi, Rafael Luís and Henrique Oliveira

This survey contains the most updated results on the dynamics of periodic difference equations or discrete dynamical systems this time. ...

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Article

Non-Autonomous Periodic Systems with Allee Effects

Journal of Difference Equations and Applications (2010)

Rafael Luís, Saber Elaydi and Henrique Oliveira

A new class of maps called unimodal Allee maps are introduced. Such maps arise in the study of population dynamics ...

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Article

Population Models with Allee Effect: A New Model

Journal of Biological Dynamics (2010)

Saber Elaydi and Robert J Sacker

In this paper we develop several mathematical models of Allee effects. We start by defining the Allee effect as a ...

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Article

An Economical Model with Allee Effect

Journal of Difference Equations and Applications (2009)

Rafael Luís, Saber Elaydi and Henrique Oliveira

The Marx model for the profit rate r depending on the exploitation rate e and on the organic composition of ...

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Article

Stability and Asymptoticity of Volterra Difference Equations: A Progress Report

Journal of Computational and Applied Mathematics (2009)

Saber Elaydi

We survey some of the fundamental results on the stability and asymptoticity of linear Volterra difference equations. The method of ...

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Article

On the Stochastic Beverton-Holt Equation with Survival Rates

Journal of Difference Equations and Applications (2008)

Paul H Bezandry, Toka Diagana and Saber Elaydi

The paper studies a Beverton-Holt difference equation, in which both the recruitment function and the survival rate vary randomly. It ...

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Article

Existence and Stability of Periodic Orbits of Periodic Difference Equations ...

International Journal of Bifurcation and Chaos (2008)

Ziyad AlSharawi, James Angelos and Saber Elaydi

In this paper, we investigate the existence and stability of periodic orbits of the p-periodic difference equation with delays xn ...

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Article

On the Asymptotic Stability of Linear Volterra Difference Equations of ...

Journal of Difference Equations and Applications (2007)

Saber Elaydi, E Messina and A Vecchio

We show that the condition |a| + |∑+∞l=0bl| < 1 is not necessary, though sufficient, for the asymptotic stability of ...

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Article

Population Models in Almost Periodic Environments

Journal of Difference Equations and Applications (2007)

Toka Diagana, Saber Elaydi and Abdul-Aziz Yakubu

We establish the basic theory of almost periodic sequences on Ζ+. Dichotomy techniques are then utilized to find sufficient conditions ...

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Article

Periodic Difference Equations, Population Biology and the Cushing-Henson Conjectures

Mathematical Biosciences (2006)

Saber Elaydi and Robert J Sacker

We show that for a k-periodic difference equation, if a periodic orbit of period r is globally asymptotically stable (GAS), ...

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Article

An Extension of Sharkovsky’s Theorem to Periodic Difference Equations

Journal of Mathematical Analysis and Applications (2006)

Ziyad AlSharawi, James Angelos, Saber Elaydi and Leela Rakesh

We present an extension of Sharkovsky’s Theorem and its converse to periodic difference equations. In addition, we provide a simple ...

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Article

Nonautonomous Beverton-Holt Equations and the Cushing-Henson Conjectures

Journal of Difference Equations and Applications (2005)

Saber Elaydi and Robert J Sacker

In [3] Jim Cushing and Shandelle Henson published two conjectures (see Section 3) related to the Beverton-Holt difference equation (with ...

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Article

Global Stability of Periodic Orbits of Non-Autonomous Difference Equations and ...

Journal of Differential Equations (2005)

Saber Elaydi and Robert J Sacker

Elaydi and Yakubu showed that a globally asymptotically stable(GAS) periodic orbit in an autonomous difference equation must in fact be ...

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About Saber Elaydi

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Disciplines

Ricker competition model (1)

Articles (3)

Books (4)

No Subject Area (28)