一个离散单种群扩散模型的全局渐近稳定性

Global asymptotic stability of a discrete single species dispersal model

建立了一个物种在ｎ个缀块上相互扩散的数学模型并利用单调算子和凹算子的理论讨论了其全局渐近稳定性，得到了正平衡点全局渐近稳定和物种绝灭的条件．

A mathematical model of a single species dispersal in a n patch enviroment is established and its global asymptotic stability is discussed by using the theory of monotone operator and concave operator. Conditions for both global stability of the positive equilibrium and species extinction are obtained.