MODELLING AND STABILITY ANALYSIS OF POPULATION GROWTH WITH SPATIAL DIFFUSION

被引：3

作者：

W.L.CHAN

FENG Dexing Department of Mathematice

机构：

来源：

Systems Science and Mathematical Sciences | 1993年 / 04期

基金：

中国国家自然科学基金;

关键词：

Discrete age-dependent population model; spatial diffusion; stability analysis;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In recent years, population growth models with spatial diffusion have beenextensively studied by many authors (for example, see [1-5]). In this paper, a populationgrowth model is considered with a discrete age-dependence and spatial diffusion, and isinvestigated in a semigroup framework. The spectral properties of the population oper-ator are given. On the basis of such spectral consideration, the asymptotic behaviourof the semigroup generated by the population operator is obtained. Finally, a nonlinearpopulation growth model is considered and its stability is analyzed.

引用

页码：341 / 352

页数：12