The Beverton-Hold model on isolated time scales

M Bohner, J Mesquita, S Streipert - 2022‏ - scholarsmine.mst.edu
In this work, we formulate the Beverton-Holt model on isolated time scales and extend
existing results known in the discrete and quantum calculus cases. Applying a recently …

Global Asymptotic Stability and Naimark‐Sacker Bifurcation of Certain Mix Monotone Difference Equation

MRS Kulenović, S Moranjkić… - Discrete Dynamics in …, 2018‏ - Wiley Online Library
We investigate the global asymptotic stability of the following second order rational
difference equation of the form xn+ 1= B xnxn-1+ F/bxnxn-1+ cxn-1 2, n= 0, 1,…, where the …

Stability and Neimark–Sacker Bifurcation of Certain Mixed Monotone Rational Second-Order Difference Equation

Z Nurkanović, M Nurkanović… - Qualitative theory of …, 2021‏ - Springer
This paper investigates the local and global character of the unique positive equilibrium of
certain mixed monotone rational second-order difference equation with quadratic terms. The …

Basins of attraction of period-two solutions of monotone difference equations

A Bilgin, MRS Kulenović, E Pilav - Advances in Difference Equations, 2016‏ - Springer
We investigate the global character of the difference equation of the form xn+ 1= f (xn, xn−
1), n= 0, 1,… x_ n+ 1= f (x_ n, x_ n-1),\quad n= 0, 1, ... with several period-two solutions …

A method to derive discrete population models

SH Streipert, GSK Wolkowicz - International Conference on Difference …, 2021‏ - Springer
We propose a derivation method to obtain discrete multi-species population models based
on the assumption that the population sizes at time t+ 1 can be expressed as a multiple of …

GLOBAL DYNAMICS OF CERTAIN NON-SYMMETRIC SECOND ORDER DIFFERENCE EQUATION WITH QUADRATIC TERM.

M Garić-Demirović, S Hrustić… - Sarajevo Journal of …, 2019‏ - search.ebscohost.com
We investigate global dynamics of the equation... where the parameters a, F and f are
positive numbers and the initial conditions x< sub>-1, x< sub> 0 are arbitrary nonnegative …

On a Coupled Time‐Varying Beverton–Holt Model with Two Habitats Subject to Harvesting, Repopulation, and Mixed Migratory Flows of Populations

M De la Sen, S Alonso-Quesada… - Discrete Dynamics in …, 2023‏ - Wiley Online Library
Two time‐varying Beverton–Holt models are investigated in which the population of the
same species evolves jointly in two coupled habitats which can be subject to population …

Neimark–Sacker, flip, and transcritical bifurcation in a close‐to‐symmetric system of difference equations with exponential terms.

C Mylona, G Papaschinopoulos… - … Methods in the …, 2021‏ - search.ebscohost.com
In this paper, we study the conditions under which the following close‐to‐symmetric system
of difference equations with exponential terms: xn+ 1= a1ynb1+ yn+ c1xnek1− d1xn1+ ek1 …

On an Extended Time‐Varying Beverton–Holt Equation Subject to Harvesting Monitoring and Population Excess Penalty

M De la Sen, S Alonso-Quesada… - Discrete Dynamics in …, 2023‏ - Wiley Online Library
This paper considers a more general eventually time‐varying Beverton–Holt equation for
species evolution which can include a harvesting action and a penalty for overpopulation …

Stability, Neimark–Sacker Bifurcation, and Approximation of the Invariant Curve of Certain Homogeneous Second‐Order Fractional Difference Equation

M Garić-Demirović, S Moranjkić… - Discrete Dynamics in …, 2020‏ - Wiley Online Library
We investigate the local and global character of the unique equilibrium point and
boundedness of the solutions of certain homogeneous fractional difference equation with …