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Qualitative behavior and solution of a system of three‐dimensional rational difference equations

E. M. Elsayed, A. Alshareef, Faris Alzahrani

2022Mathematical Methods in the Applied Sciences14 citationsDOI

Abstract

In this paper, we construct the solutions expressions for a system of three‐dimensional nonlinear difference equations In addition, we prove some properties of the proposed system such as boundedness and periodicity of the positive solutions and the global asymptotic stability of the equilibrium points. Finally, we present some numerical examples in order to illustrate the theoretical results.

Topics & Concepts

MathematicsNonlinear systemStability (learning theory)Applied mathematicsConstruct (python library)Order (exchange)Exponential stabilityMathematical analysisMachine learningFinanceComputer scienceQuantum mechanicsProgramming languageEconomicsPhysicsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations AnalysisFractional Differential Equations Solutions