Work

Stability and Periodicity Performance of Solutions of Nonlinear Difference Equations

Year: 2026

Type: article

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.

Source: Axioms

DOI: 10.3390/axioms15100743

Authors: Shatha Qandos, Osama Moaaz

Institution: Qassim University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W7220449540

FWCI:

Cites: 23

Cited by:

Related to: 10