一类单种群模型的全局稳定性

The Stability of the Model for a Single-Species System

用种群动力学的方法对单种群数学模型N=。N d(q+pN+N3)(其中p,q,d为实数且d<0)进行了研究,得到了该模型的稳定性条件,给出了相应条件下的平衡点和吸引域.该结论可以推广到单种群数学模型N=。N d(a+bN+cN2+N3)之中.

By employing species-kinetics approach, the authors have made a research on the model for a single-species system： N=Nd（q＋pN＋N3） （where p,q,d serve as real number and d〈0）. The authors have also identified the conditions for the stability of the model, and presented the balance point and attracting region under the above conditions. These bionomics characters can be promoted to the ap- plication of the mathematic model for single-species ： N= Nd（a ＋bN＋cN^2 ＋N3）.