[BOOK][B] Dynamics of third-order rational difference equations with open problems and conjectures

E Camouzis, G Ladas - 2007 - api.taylorfrancis.com
Extending and generalizing the results of rational equations, Dynamics of Third Order
Rational Difference Equations with Open Problems and Conjectures focuses on the …

[PDF][PDF] A global attractivity result for maps with invariant boxes

MRS Kulenovic, O Merino - Discrete and Continuous Dynamical …, 2006 - researchgate.net
We present a global attractivity result for maps generated by systems of autonomous
difference equations. It is assumed that the map of the system leaves invariant a box, is …

Boundedness of solutions and stability of certain second-order difference equation with quadratic term

E Bešo, S Kalabušić, N Mujić, E Pilav - Advances in Difference Equations, 2020 - Springer
We consider the second-order rational difference equation xn+ 1= γ+ δ xnxn− 1 2, x_ n+ 1=
γ+ δ x_ nx^ 2 _ n-1, where γ, δ are positive real numbers and the initial conditions x− 1 x_-1 …

Global behavior of solutions of a periodically forced Sigmoid Beverton–Holt model

AJ Harry, CM Kent, VL Kocic - Journal of Biological Dynamics, 2012 - Taylor & Francis
Our aim in this paper is to investigate the boundedness, the extreme stability, and the
periodicity of positive solutions of the periodically forced Sigmoid Beverton–Holt model …

On second-order rational difference equations, part 1

AM Amleh, E Camouzis, G Ladas - Journal of Difference Equations …, 2007 - Taylor & Francis
Full article: On second-order rational difference equations, part 1 Skip to Main Content Taylor
and Francis Online homepage Taylor and Francis Online homepage Log in | Register Cart …

When does periodicity destroy boundedness in rational equations?

E Camouzis, G Ladas - Journal of Difference Equations and …, 2006 - Taylor & Francis
Difference equations with periodic coefficients have been studied by several authors. See,
for example,[1, 3, 10–13, 15–20, 22–25, 27, 28]. One of the goals of introducing periodic …

Neimark–Sacker bifurcation of discrete Pielou model with delay

Z He - Journal of Difference Equations and Applications, 2024 - Taylor & Francis
In this paper, we investigate the existence of the Neimark–Sacker bifurcation of discrete
delay Pielou Model with positive parameters. It is shown that this model undergoes a …

[PDF][PDF] Attenuance and resonance in a periodically forced sigmoid Beverton–Holt model

CM Kent, VL Kocic, Y Kostrov - Int. J. Difference Equ, 2012 - campus.mst.edu
In this paper we continue to study the global behavior of the periodically forced Sigmoid
Beverton–Holt model yn+ 1= anyδ n 1+ yδ n, n= 0, 1,..., where the initial condition y0 is …

A note on the nonautonomous delay Beverton–Holt model

VL Kocic - Journal of Biological Dynamics, 2010 - Taylor & Francis
It is well known that the periodic cycle of a periodically forced nonlinear difference equation
is attenuant (resonant) if where {K n} is the carrying capacity of the environment and …

An alternative delayed population growth difference equation model

SH Streipert, GSK Wolkowicz - Journal of Mathematical Biology, 2021 - Springer
We propose an alternative delayed population growth difference equation model based on a
modification of the Beverton–Holt recurrence, assuming a delay only in the growth …