Cluster formation in a heterogeneous metapopulation model

被引：0
作者：
Silva, Jacques A. L. [1 ]
机构：
[1] Univ Fed Rio Grande do Sul, Dept Matemat Pura & Aplicada, BR-91509900 Porto Alegre, RS, Brazil
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2016年 / 72卷 / 06期
关键词：
Metapopulation; Spatial heterogeneity; Partial synchronization; Cluster; Transversal stability; POPULATION-DYNAMICS; SPATIAL STRUCTURE; RIDDLED BASINS; DISPERSAL; CHAOS; COHERENCE; STABILITY; SYNCHRONISM; EXTINCTION; MIGRATION;
D O I：
10.1007/s00285-015-0916-x
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A spatially explicit heterogeneous metapopulation model with two different patch types is analyzed. Some network topologies support a partially synchronized dynamics, a state where two different clusters of patches are formed. Within each cluster the dynamics of all patches are synchronized. The linearized asymptotic stability of the partially synchronized attractor is studied. The transversal stability is analyzed and a simple expression for the transversal Lyapunov number of partially synchronized attractors is obtained.
引用
收藏
页码：1531 / 1553
页数：23
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