MODELLING AND STABILITY ANALYSIS OF POPULATION GROWTH WITH SPATIAL DIFFUSION

被引：3

作者：

WLCHAN

FENG Dexing Department of Mathematicethe Chinese University of Hong KongShatinNTHong Kong Institute oj Systems Science Academia Sinica Beijing China ^{[100080
]}

机构：

来源：

Systems Science and Mathematical Sciences | 1993年 / 04期

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：

<正> 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