离散型单种群扩散模型的全局渐近稳定性

Global Asymptotic Stability of a Dispersal Model of the Discrete Type Single Species

本文研究离散单种群扩散模型全局渐近稳定性，利用单调算子和凹算子的理论讨论了其全局渐过稳定性，并得到了正平衡点全局渐进稳定和物种绝灭的充分条件．

This paper considers the global asymptotic stability of a dispersal model of the discrete single-species by using the theory of monotone operator and concave operator, the sufficient conditions of global asymptotic stablity of the positive equilibrium and species extinction are obtained.