摘要
利用正的紧线性微分算子的谱性质和锥映象不动点指标,结合极值原理和上下解方法,研究了具有饱和项的Volterra-Lotka互惠模型的平衡态方程,得到了具有饱和项的互惠模型正解存在的充分条件.
By using the spectral properties of positive compact linear differential opetators and fixed points index of compact maps in cones, combining with maximum principles and lower-upper solutions method, the steady-state equation of a kind of the Volterra-Lotka cooperative model with saturation is studied, sufficient conditions for the existence of positive solutions of the system are obtained.
出处
《西北师范大学学报(自然科学版)》
CAS
2007年第6期6-10,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(10571115)
关键词
平衡解
谱
不动点指标
上下解
steady-state solution
spectrum
fixed points index
lower-upper solutions