一类指数型差分方程的动力学行为

ifference equations are key tools to describe the evolution of certain phenomena over the course of discrete time, and difference equations and systems of difference equations containing exponential terms have numerous potential applications in biology. In this paper, based on previous work, we extend a famous discrete epidemic model to a system of difference equations containing exponential terms, which models a two-species population that includes a self-regulating mechanism that limits the sizes of both populations. We investigate the boundedness, persistence and convergence of the positive solutions, the existence and the global asymptotic stability of a unique positive equilibrium of the systems of two difference equations.