摘要
生物群中许多物种具有两个阶段的成长过程,本文通过年龄结构和大小结构分别对种群的幼年-成年两个阶段进行建模得到耦合的年龄-大小结构偏微分方程组并利用特征线法将方程组转化为积分方程形式再通过不动点定理证明模型解的存在唯一性.
In this paper,the age-structured and size-structured methods have been used to model the juvenile-adult population and the coupled partial differential equations been obtained.The characteristic method has been used to transform the coupled partial differential equations into a integral equation.The existence and uniqueness of the solution of the model is proved by means of the fixed point theorem.
作者
李状
王明龙
LI Zhuang;WANG Ming-long(School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)
出处
《西南师范大学学报（自然科学版）》
CAS
2021年第5期19-24,共6页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11871060).
关键词
年龄结构
大小结构
特征线法
不动点定理
age-structured
size-structured
characteristics method
fixed point theorem
