One Model of Size-Structured Population Dynamics

被引：0
|
作者：
Nikol'skii, M. S. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2014年 / 287卷
基金：
俄罗斯基础研究基金会;
关键词：
transport equation; integral equation of Volterra type; method of successive approximations;
D O I：
10.1134/S0081543814090120
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A linear model of size-structured population dynamics is considered. It is described by a linear partial differential equation, namely, by the transport equation. A solution in a constructive form is built for this model under a nonlinear global boundary condition, which has a biological interpretation. The model is of interest for biological applications, in particular, in forestry. The results make it possible, for example, to study the qualitative behavior of solutions of the formulated nonstandard boundary value problem with a global boundary condition.
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页码：S128 / S133
页数：6
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