Stability analysis for a size-structured model of species in a space-limited habitat

被引：0
|
作者：
He, Ze-Rong [1 ]
Xie, Qiang-Jun [1 ]
Wang, Hai-Tao [1 ]
机构：
[1] Hangzhou Dianzi Univ, Inst Operat Res & Cybernet, Hangzhou 310018, Zhejiang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2016年 / 9卷 / 06期
关键词：
Space-limitation; size-dependence; spectrum; reproduction number; stability; POPULATION-DYNAMICS;
D O I：
10.1142/S1793524516500935
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We investigate the stability of steady states of a size-and stage-structured population model, which is a hybrid system of ordinary and partial differential equations with global integral feedbacks. After the formulation of a criterion by spectrum method, we derive conditions for global stability of the trivial state and local stability of the positive equilibrium via the basic reproduction rate. Furthermore, some examples and simulations are presented to illustrate the obtained results.
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页数：22
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