GLOBAL BEHAVIOR OF AGE-DEPENDENT LOGISTIC POPULATION-MODELS

被引：20

作者：

CHAN, WL

GUO, BZ

机构：

[1] Department of Mathematics, The Chinese University of Hong Kong, Shatin, New Territories

[2] Beijing Institute of Information and Control, Beijing

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1990年 / 28卷 / 02期

关键词：

Age-dependent model; Boundedness of solution; Global stability; Logistic growth; Oscillation;

D O I：

10.1007/BF00163146

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We study the large time behaviour of a nonlinear population model with a general logistic term. It is proved that every solution must have a limit when time becomes infinite. We present conditions that guarantee the boundedness of the solution. Furthermore, we prove that in general no oscillation is possible for the total number of population. This is in sharp contrast to the linear case. © 1990, Springer-Verlag. All rights reserved.

引用

页码：225 / 235

页数：11

共 8 条

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[4] ON THE GLOBAL STABILITY OF THE LOGISTIC AGE-DEPENDENT POPULATION-GROWTH
MARCATI, P
[J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1982, 15 (02) : 215 - 226
[5] Walker J.A, 2013, DYNAMICAL SYSTEMS EV, V20
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[7] LOGISTIC-MODELS OF STRUCTURED POPULATION-GROWTH
WEBB, GF
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS-PART A, 1986, 12 (4-5): : 527 - 539
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