具有投放的周期系数Schoner生态模型的极限性态  

Limiting behaviour of the non-autonomour Schoner biological model with grazing rates

作　　者：陆忠华[1] 陈菊芳[1] 

机构地区：[1]西安统计学院基础课部,陕西师范大学数学系

出　　处：《陕西师大学报（自然科学版）》1995年第3期18-22,共5页Journal of Shaanxi Normal University(Natural Science Edition)

摘　　要：讨论了具有投放率的周期系数Ｓｃｈｏｎｅｒ生态模型，运用Ｂｒｏｕｗｅｒ不动点定理、凹算子和解算子最终收敛于不动点的方法，得到正周期解的存在性和唯一性及全局渐近稳定性的充分条件．The non-autonomous Schoner biological model with grazing rates is considered,where all the parameters and the grazing rates are periodic functions respectively. The Brouwer fixed-point theorem, the method of the concave operator and the translation operator converges to the fixed point are used. The existence, uniqueness and stability of the positive periodic solution are obtained, and it is further proved that the periodic solution is global stable.

关 键 词：生态模型 周期解 全局稳定性 微分方程 

分 类 号：Q－332[生物学] O175.13[理学—数学]