The Principle of Linearized Stability for Size-Structured Population Models

被引：0
|
作者：
El-Doma, M. [1 ]
机构：
[1] Univ Khartoum, Fac Math Sci, POB 321, Khartoum, Sudan
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2011年 / 6卷 / 02期
关键词：
The principle of linearized stability; Population; Stability; Steady state; Size-structure; Inflow of newborns; Resonance; Characteristic equation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The principle of linearized stability for size-structured population dynamics models is proved giving validity to previous stability results reported in, for example, El-Doma (2008-1). In particular, we show that if all the roots of the characteristic equation lie to the left of the imaginary axis then the steady state is locally exponentially stable, and on the other hand, if there is at least one root that lies to the right of the imaginary axis then the steady state is unstable. We also point out cases when there is resonance.
引用
收藏
页码：620 / 641
页数：22
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