基于尺度结构三竞争种群系统的适定性  

On Well-posedness of a Competing Population System Based on Size-dependent Structure

作　　者：巴争刚[1] 姜佐政[1] 雒志学[1] 尹雪文[1] 

机构地区：[1]兰州交通大学数学系,甘肃兰州730070

出　　处：《温州大学学报（自然科学版）》2015年第4期27-32,共6页Journal of Wenzhou University(Natural Science Edition)

摘　　要：建立了尺度结构的种群模型,根据Banach不动点定理及Gronwall不等式证明了系统解的存在唯一性、有界性、非负性及解对控制变量的连续依懒性,从而推广了已有文献的结论.In this paper the size-dependent population model is set up on the basis of the Banach fixed point theorem and Gronwall inequality.The system proves that the uniqueness of solution is existed,the boundedness and non-negative solution of the control variable,continuous dependence,are generalized so as to popularize the conclusion of existed documents.

关 键 词：尺度结构 有界解 适定性 唯一性 

分 类 号：O175[理学—数学]