Peer-reviewedCC BY 4.0Axioms
Stability and Periodicity Performance of Solutions of Nonlinear Difference Equations
- 1Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
Abstract
This study investigates the dynamics of solutions to nonlinear difference equations. The equation under study is distinguished by its dynamical richness and contains many interesting special cases, including May’s Host–Parasitoid Model. We establish sufficient criteria to ensure the stability, periodicity, boundedness, and convergence of their solutions. Furthermore, to support the theoretical results, we apply the theoretical results to some special cases and perform numerical simulations of some solutions.
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BibTeX
@article{qandos2026stability,
title = {{Stability and Periodicity Performance of Solutions of Nonlinear Difference Equations}},
author = {Shatha Qandos and Osama Moaaz},
journal = {Axioms},
year = {2026},
month = oct,
doi = {10.3390/axioms15100743},
url = {https://www.mdpi.com/2075-1680/15/10/743},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Stability and Periodicity Performance of Solutions of Nonlinear Difference Equations
AU - Shatha Qandos
AU - Osama Moaaz
PY - 2026
DA - 2026/10/03
JO - Axioms
DO - 10.3390/axioms15100743
UR - https://www.mdpi.com/2075-1680/15/10/743
AB - This study investigates the dynamics of solutions to nonlinear difference equations. The equation under study is distinguished by its dynamical richness and contains many interesting special cases, including May’s Host–Parasitoid Model. We establish sufficient criteria to ensure the stability, periodicity, boundedness, and convergence of their solutions. Furthermore, to support the theoretical results, we apply the theoretical results to some special cases and perform numerical simulations of some solutions.
SN - 2075-1680
ER -