On a Class of Discrete Max-Type Difference Equation Model of Order Four.

Discrete models are versatile and effective tools for assessing and addressing a wide range of scientific and practical problems. As a type of discrete model, the difference equation model has been widely employed in domains such as algorithm analysis, signal processing, biology, economics, and computer science. The global dynamical behavior of a class of discrete models known as the max-type difference equation model is the subject of the research. The purpose of this work is to look into the behavior of the solution of the following four-order max-type difference equation: z i + 1 = max A i / z i , z i − 3 , i = 0,1,2 , .... [ABSTRACT FROM AUTHOR]