Abstract
We study the qualitative behavior of the positive solutions of a second-order rational fuzzy difference equation with initial conditions being positive fuzzy numbers, and parameters are positive fuzzy numbers. More precisely, we investigate existence of positive solutions, boundedness and persistence, and stability analysis of a second-order fuzzy rational difference equation. Some numerical examples are given to verify our theoretical results.
Highlights
Introduction and PreliminariesRecently, studying the qualitative behavior of difference equations and systems is a topic of a great interest
Studying the qualitative behavior of difference equations and systems is a topic of a great interest
Applications of discrete dynamical systems and difference equations have appeared recently in many areas such as ecology, population dynamics, queuing problems, statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, neural networks, quanta in radiation, genetics in biology, economics, psychology, sociology, physics, engineering, economics, probability theory, and resource management. These are only considered as the discrete analogs of differential equations
Summary
Introduction and PreliminariesRecently, studying the qualitative behavior of difference equations and systems is a topic of a great interest. It is very interesting to investigate the behavior of solutions of a system of higher-order rational difference equations and to discuss the local asymptotic stability of their equilibrium points. For qualitative behavior of fuzzy difference equations, one can see [6,7,8,9,10,11]. Where the parameter p and initial conditions y−1, y0 are positive real numbers.
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