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- Eduardo Liz, Mihály Pituk
- 2005

Asymptotic estimates are established for higher-order scalar difference equations and inequalities the right-hand sides of which generate a monotone system with respect to the discrete exponential… (More)

- Eduardo Liz
- 2006

We prove a criterion for the global stability of the positive equilibrium in discrete-time single-species population models of the form xn+1 = xnF (xn). This allows us to demonstrate analytically… (More)

- Eduardo Liz, Paweł Pilarczyk
- Journal of theoretical biology
- 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… (More)

We prove the existence of extremal solutions for a first order functional differential equation subject to nonlinear boundary conditions of functional type. Moreover, the functions that define our… (More)

- Eduardo Liz
- Theoretical Ecology
- 2009

We study the effects of constant harvesting in a discrete population model that includes density-independent survivorship of adults in a population with overcompensating density dependence. The… (More)

- Eduardo Liz
- 2011

xnþ1 1⁄4 f ðn; xn; . . . ; xn2kÞ; n $ 0; where f is continuous, and the zero solution is assumed to be the unique equilibrium. We focus our discussion on two techniques motivated by stability results… (More)

- Eduardo Liz, Alfonso Ruiz-Herrera
- Journal of mathematical biology
- 2012

We analyze the effects of a strategy of constant effort harvesting in the global dynamics of a one-dimensional discrete population model that includes density-independent survivorship of adults and… (More)

- Eduardo Liz, Alfonso Ruiz-Herrera
- Mathematical biosciences and engineering : MBE
- 2015

Allee effects make populations more vulnerable to extinction, especially under severe harvesting or predation. Using a delay-differential equation modeling the evolution of a single-species… (More)

For a family of difference equations xnþ1 1⁄4 axn þ f ðxn2kÞ; n 1⁄4 0; 1; . . .;wherea [ ð0; 1Þ; k [ {1; 2; . . .}; and f : 1⁄20;1Þ! ð0;1Þ is continuous and decreasing, we find sufficient conditions… (More)

- Eduardo Liz, Gergely Röst
- 2010

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 Mackey-Glass… (More)