一类非线性年龄结构人口模型  

Non-linear age-dependent population models

作　　者：罗建梅[1] 原三领[1] 中素慧[1] 

机构地区：[1]上海理工大学 理学院,上海200093

出　　处：《上海理工大学学报》2008年第1期27-31,共5页Journal of University of Shanghai For Science and Technology

摘　　要：考虑了一类具有年龄结构的人口模型,其为Gurtin-MacCamy模型的一般化形式.利用特征线法讨论了此类模型的解的存在性,通过构造压缩函数证明了解的唯一性,讨论了非平凡平衡解存在的充要条件.A class of age-dependent population models, which is a generalization of the Gurtin-Mac- Carny model, is considered. The existence of solutions of these models is discussed by using the characteristics method and the uniqueness of the solutions is proved by constructing compression functions. The sufficient and necessary conditions of the existence of nontrivial balanced solutions are obtained.

关 键 词：非线性 年龄结构 人口模型 

分 类 号：O175.13[理学—数学]