In this paper, we investigate the equilibrium point, local and global behavior of the unique positive equilibrium point, and rate of convergence of positive solutions of following discrete biological model: Xn+1=Xne...In this paper, we investigate the equilibrium point, local and global behavior of the unique positive equilibrium point, and rate of convergence of positive solutions of following discrete biological model: Xn+1=Xne^ln(α)(1-Yn),Yn+1=(γδ-1)Yn(1+1/γδ-1-Yn/Xn), where parameters α,γ,δ and the initial conditions Xo, ]Io are positive real numbers. Some numerical examples are given to verify theoretical results.展开更多
文摘In this paper, we investigate the equilibrium point, local and global behavior of the unique positive equilibrium point, and rate of convergence of positive solutions of following discrete biological model: Xn+1=Xne^ln(α)(1-Yn),Yn+1=(γδ-1)Yn(1+1/γδ-1-Yn/Xn), where parameters α,γ,δ and the initial conditions Xo, ]Io are positive real numbers. Some numerical examples are given to verify theoretical results.