一类互惠模型非负平衡解的存在性  

The Existence of Nonnegative Steady-state Solutions for a Class of Cooperative Models

作　　者：聂华[1] 朱杰[1] 吴建华[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062

出　　处：《工程数学学报》2008年第1期124-132,共9页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10571115)

摘　　要：本文考虑了一类较一般的互惠模型,利用锥映象不动点指数计算方法,结合上下解方法以及算子谱分析得出这类互惠模型正平衡解存在的充分条件。结果表明,该模型正平衡解的存在性与两个微分算子的特征值有密切的关系。A class of more general cooperative systems are concerned m tins paper. By calculating the index of the fixed point of the compact map in cone, combining with the lower-upper solution method and the spectrum analysis of operators, some sufficient conditions for the existence of nonnegative steady-state solutions are obtained. The result shows that the existence of the positive solution is closely related to eigenvalues of two differential operators.

关 键 词：平衡解 不动点指数 极值原理 上下解方法 

分 类 号：O175.26[理学—数学]