On the linearized stability of age-structured multispecies populations
We consider a general nonlinear age-structured population model with n interacting species. We deduce the characteristic function in the form of a determinant of an n-by-n matrix. Then we formulate some biologically meaningful sufficient conditions for the stability (resp., instability) of positive...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/JAM/2006/60643 |
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| _version_ | 1832547566875574272 |
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| author | Jozsef Z. Farkas |
| author_facet | Jozsef Z. Farkas |
| author_sort | Jozsef Z. Farkas |
| collection | DOAJ |
| description | We consider a general nonlinear age-structured population model with n interacting species. We deduce the characteristic function in the form of a determinant of an n-by-n matrix. Then we formulate some biologically meaningful sufficient conditions for the stability (resp., instability) of positive stationary solutions of the system. |
| format | Article |
| id | doaj-art-44afc6d3922a4f7abebad6ede9dbc512 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-44afc6d3922a4f7abebad6ede9dbc5122025-02-03T06:44:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422006-01-01200610.1155/JAM/2006/6064360643On the linearized stability of age-structured multispecies populationsJozsef Z. Farkas0Department of Mathematical Sciences, The Universityof Memphis, Memphis 38152, TN, USAWe consider a general nonlinear age-structured population model with n interacting species. We deduce the characteristic function in the form of a determinant of an n-by-n matrix. Then we formulate some biologically meaningful sufficient conditions for the stability (resp., instability) of positive stationary solutions of the system.http://dx.doi.org/10.1155/JAM/2006/60643 |
| spellingShingle | Jozsef Z. Farkas On the linearized stability of age-structured multispecies populations Journal of Applied Mathematics |
| title | On the linearized stability of age-structured multispecies populations |
| title_full | On the linearized stability of age-structured multispecies populations |
| title_fullStr | On the linearized stability of age-structured multispecies populations |
| title_full_unstemmed | On the linearized stability of age-structured multispecies populations |
| title_short | On the linearized stability of age-structured multispecies populations |
| title_sort | on the linearized stability of age structured multispecies populations |
| url | http://dx.doi.org/10.1155/JAM/2006/60643 |
| work_keys_str_mv | AT jozsefzfarkas onthelinearizedstabilityofagestructuredmultispeciespopulations |