摘要
讨论了两类捕食者和一类食饵常微系统非负平衡解的稳定性.如果各种群密度不仅依赖于时间变化,而且依赖于空间变化,那么就要考虑反应扩散系统.应用线性化方法和Routh-Hurwitz判别法讨论了反应扩散系统非负平衡解的局部渐近稳定性.
This paper deals with the two classes of predator and a class of predator-prey ordinary differential system stability of nonnegative equilibrium solutions.If the density of various species not only depends on the time change,but also on the space change,it will be necessary to consider the reaction diffusion system.The local asymptotical stability of equilibrium points for the reaction diffusion model is discussed by linearization and Routh-Hurwitz.
出处
《兰州文理学院学报（自然科学版）》
2016年第1期9-12,共4页
Journal of Lanzhou University of Arts and Science(Natural Sciences)
关键词
捕食者-食饵
扩散
平衡解
稳定性
predator-prey
diffusion
equilibrium solution
stability
