A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems
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...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/9685013 |
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| _version_ | 1832547649461420032 |
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| author | Huaihuo Cao |
| author_facet | Huaihuo Cao |
| author_sort | Huaihuo Cao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-7e6b93b8f4de45e0bdf089a8a592178c |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7e6b93b8f4de45e0bdf089a8a592178c2025-02-03T06:43:54ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/96850139685013A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid SystemsHuaihuo Cao0College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaWe 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.http://dx.doi.org/10.1155/2017/9685013 |
| spellingShingle | Huaihuo Cao A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems Advances in Mathematical Physics |
| title | A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems |
| title_full | A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems |
| title_fullStr | A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems |
| title_full_unstemmed | A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems |
| title_short | A New Analysis Method for Chemotaxis-Induced Instability in Multispecies Host-Parasitoid Systems |
| title_sort | new analysis method for chemotaxis induced instability in multispecies host parasitoid systems |
| url | http://dx.doi.org/10.1155/2017/9685013 |
| work_keys_str_mv | AT huaihuocao anewanalysismethodforchemotaxisinducedinstabilityinmultispecieshostparasitoidsystems AT huaihuocao newanalysismethodforchemotaxisinducedinstabilityinmultispecieshostparasitoidsystems |