STABILIZATION OF A KIND OF PREY-PREDATOR MODEL WITH HOLLING FUNCTIONAL RESPONSE

有 Hollingfunctional 反应的一种猎物食肉动物模型的稳定问题被调查。由近似 linearization 途径，稳定靠近环的系统的一条反馈控制法律被获得。在另一方面由准确 linearization 途径，在州的空间和一条反馈控制法律的坐标的一个合适的变化显示复杂非线性的系统是线性的可控制的以便 theclosed 环系统的积极平衡点是全球性 asymptotically 稳定。

The stabilization problem of a kind of prey-predator model with Holling fimctional response is investigated. By approximate linearization approach, a feedback control law stabilizing the closed- loop system is obtained. On the other hand, by exact linearization approach, a suitable change of coordinates in the state space and a feedback control law render the complex nonlinear system to be a linear controllable one such that the positive equilibrium point of the closed-loop system is globally asymptotically stable.