一类互惠时滞系统的渐近性

Asymptotic Behavior of a Cooperation Model with Delays

研究了一类具有时滞的互惠生态系统的渐近性 利用定性理论得出了系统的持续生存性 ,利用代数理论得出了其正平衡态局部渐近稳定的充分条件 ,并给出系统在特殊情况下出现Hopf分支的分支值 .

The asympotic behavior of a type of cooperation model with delays is investigated.The system is persistence by using the theory of qualitative.The sufficient conditions that the positive equilibrium is locally asymptotic stability are obtained by using the theory of algebra.Finally,the value of bifurcation is obtained under the particular condition.