一类具有扩散的互惠系统的存在性与全局渐近性  

Existence and Global Attractivity in a Cooperation System with Diffusion

作　　者：陆军[1] 黑力军[1] 

机构地区：[1]陕西师范大学数学与信息科学学院

出　　处：《榆林学院学报》2004年第3期1-5,共5页Journal of Yulin University

基　　金：国家自然科学基金(10071048);教育部骨干教师资助计划;教育都优秀青年教师资助计划资助项目

摘　　要：本文应用上下解方法研究了其一具有饱和作用项的两种群互惠系统,得到了其正平衡态解和各 类半平凡解存在和稳定的条件,同时也给出了有关动态解的某些渐近性结果。By the upper - lower solution methods, a cooperative system with a saturating interaction term for one species was studied. Some results on the existence and stability of a positive steady - state solution as well as the various. semitrivial steady -state solutions is obtained ,and some information on the asymptotic behavior of the time -dependent solution to these steady states are also given.

关 键 词：反应扩散系统 半平凡解 静态解 正平衡态 稳定性 渐近性 上下解方法 吸引子 互惠系统 

分 类 号：O175.26[理学—数学]