具有年龄结构和相互作用的种群系统的Pontryagin原理(Ⅰ):模型的适定性(英文)  

Pontryagin's principles for interacting species with age-structure(Ⅰ):well-posedness of model

作　　者：陈波涛[1] 何泽荣[2] 

机构地区：[1]涪陵师范学院数学系,涪陵408003 [2]杭州电子科技大学运筹与控制研究所,杭州310018

出　　处：《四川大学学报（自然科学版）》2007年第2期273-276,共4页Journal of Sichuan University(Natural Science Edition)

基　　金：浙江省自然科学基金(Y604005);浙江省人事厅"留学回国人民科技择优项目"([2005]288)

摘　　要：在本文和随后的几篇文章中,作者研究由食饵和捕食者构成的群落的最优出生率控制策略,其模型由偏微分-积分方程组描述.主要应用压缩映象原理研究基本模型的适定性.In this and upcoming papers, the authors investigate optimal policies for two age-dependent populations with the interaction of predator and prey, which is described by an integro-differential system and controlled by fertility. As the starting point of research, this article is mainly devoted to the well-posedness of basic model by means of contraction mapping principle.

关 键 词：生物种群 年龄依耐性 不动点 

分 类 号：O175.1[理学—数学]