Dynamical properties of some rational systems of difference equations

We explore the equilibrium points, local and global dynamics, rate of convergence, instability and boundedness of positive solution of some rational systems of difference equations. As an application of difference equations in mathematical biology, we also explore the local dynamics about equilibrium points of the discrete-time Levin's model. Finally, obtained results are verified numerically.

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This study investigates the equilibrium points, local and global dynamics, rate of convergence, instability, and boundedness of positive solutions of some rational systems of difference equations. In addition, it explores the local dynamics around equilibrium points of the discrete-time Levin's model as an application in mathematical biology. The obtained results are then numerically verified.