A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems. (28th February 2017)

• Record Type: Journal Article
• Authors: Cao, Huaihuo
• Other Names: Kaniadakis Giorgio Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2017(2017)
• Publication Date: 2017-02-28
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2017/9685013
• Languages: English
• ISSNs: 1687-9120

Abstract

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.