# Eduardo Liz

Universidade de Vigo

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- Publications
- Influence

LOCAL STABILITY IMPLIES GLOBAL STABILITY IN SOME ONE-DIMENSIONAL DISCRETE SINGLE-SPECIES MODELS

- Eduardo Liz
- Mathematics
- 1 October 2006

We prove a criterion for the global stability of the positive equilibrium in discrete-time single-species population models of the form $x_{n+1}=x_nF(x_n)$. This allows us to demonstrate analytically… Expand

A note on the global stability of generalized difference equations

- Eduardo Liz, J. B. Ferreiro
- Computer Science, Mathematics
- Appl. Math. Lett.
- 1 August 2002

In this note, we prove a discrete analogue of the continuous Halanay inequality and apply it to derive sufficient conditions for the global asymptotic stability of the equilibrium of certain… Expand

A Global Stability Criterion for Scalar Functional Differential Equations

- Eduardo Liz, V. Tkachenko, S. Trofimchuk
- Mathematics, Computer Science
- SIAM J. Math. Anal.
- 5 December 2001

We consider scalar delay differential equations $x'(t) = -\delta x(t) + f(t,x_t) \ (*)$ with nonlinear f satisfying a sort of negative feedback condition combined with a boundedness condition. The… Expand

How to control chaotic behaviour and population size with proportional feedback

- Eduardo Liz
- Physics
- 18 January 2010

We study the control of chaos in one-dimensional discrete maps as they often occur in modelling population dynamics. For managing the population, we seek to suppress any possible chaotic behavior,… Expand

Global dynamics in a stage-structured discrete-time population model with harvesting.

- Eduardo Liz, P. Pilarczyk
- Medicine, Mathematics
- Journal of theoretical biology
- 21 March 2012

The purpose of this paper is to analyze the effect of constant effort harvesting upon global dynamics of a discrete-time population model with juvenile and adult stages. We consider different… Expand

Sufficient conditions for the global stability of nonautonomous higher order difference equations

- L. Berezansky, Eric P. Braverman, Eduardo Liz
- Mathematics
- 1 August 2005

We present some explicit sufficient conditions for the global stability of the zero solution in nonautonomous higher order difference equations. The linear case is discussed in detail. We illustrate… Expand

Dichotomy results for delay differential equations with negative Schwarzian derivative

- Eduardo Liz, Gergely Rost
- Mathematics
- 22 July 2008

Abstract We gain further insight into the use of the Schwarzian derivative to obtain new results for a family of functional differential equations including the famous Wright’s equation and the… Expand

Existence and Stability of Almost Periodic Solutions for Quasilinear Delay Systems and the Halanay Inequality

- Eduardo Liz, S. Trofimchuk
- Mathematics
- 15 August 2000

We present some easily verifiable conditions for the existence and global asymptotical stability of almost periodic solutions to systems of delay differential equations in the form u′(t) = −Au(t) +… Expand

Stability of non-autonomous difference equations: simple ideas leading to useful results

- Eduardo Liz
- Mathematics
- 1 February 2011

We address the stability properties in a non-autonomous difference equation where f is continuous, and the zero solution is assumed to be the unique equilibrium. We focus our discussion on two… Expand

Boundedness and asymptotic stability for delayed equations of logistic type

- T. Faria, Eduardo Liz
- Mathematics
- 1 October 2003

For a scalar Lotka–Volterra-type delay equation x ( t ) = b ( t ) x ( t )[1 − L ( x t )], where L : C ([− r , 0];R) → R is a bounded linear operator and b a positive continuous function, sufficient… Expand