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

Huaihuo Cao

Advances in Mathematical Physics, 2017, vol. 2017, 1-6

Abstract:

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:9685013

DOI: 10.1155/2017/9685013

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