具有时滞及多扩散模型的渐近性

Asymptotic behavior for multi-diffusion-models with delays

研究了具有离散、连续时滞及多扩散模型的渐近性 ,证明了在适当条件下 ,系统是持久生存的 ;通过构造李雅普诺夫泛函 ,得出了解具有全局渐近稳定性的充分条件 ,即若系统是周期系统 。

This paper investigates asymptotic behavior for multi-diffusion-models with discrete and continuous time delays. It is proved that the systems can be made persistent under certain appropriate conditions. Sufficient conditions for the globally asymptotic stability of the system are obtained by using Liapunov functional. Further, if the system is periodical, it has a unique globally asymptotic stable periodic solution.