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

Huaihuo Cao

Advances in Mathematical Physics, 2017, vol. 2017, issue 1

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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https://doi.org/10.1155/2017/9685013

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:9685013

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