A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems

被引：0
|
作者：
Cao, Huaihuo [1 ,2 ]
机构：
[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China
[2] Chizhou Coll, Sch Math & Comp, Chizhou 247000, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2017年 / 2017卷
关键词：
PATTERNS;
D O I：
10.1155/2017/9685013
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose a new method applying matrix theory to analyse the instability conditions of unique homogeneous coexistent state of multispecies host-parasitoid systems. We consider the eigenvalues of linearized operator of systems, and by dimensionality reduction, this infinite dimensional eigenproblem will be reduced to a parametrized finite dimensional eigenproblem, thereby applying combinatorial matrix theory to analyse the linear instability of such constant steady-state.
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页数：6
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