摘要
通过建立两种群互惠共存的数学模型,分析模型所具有的性态。首先,采用线性近似方程分析了平衡点的存在性;其次,采用Routh-Hurwitz准则和Bendison判断方法得出正平衡点满足一定的条件是全局渐近稳定的,对该模型性态的研究,对我们了解种群的生存具有重要意义。
By establishing the mathematical model of mutual coexistence of two species, this paper analyzes features of this model. First, the existence of the equilibrium point is analyzed by using linear approximation equation; Secondly, the equilibrium point is obtained by the Routh Hurwitz criterion and Bendison judgment method, which satisfies certain condition. And this condition should be global asymptotically stable. This study has a great significance in understanding the survival of species.
