A role for M-matrices in modelling population growth
Adopting a discrete-time cohort-type model to represent the dynamics of a population, the problem of achieving a desired total size of the population under a balanced growth (contraction) and the problem of maintaining the desired size, once achieved, are studied. Properties of positive-time systems...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Taylor & Francis
2006
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| Online Access: | http://hdl.handle.net/20.500.11937/43593 |
| _version_ | 1848756743594573824 |
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| author | James, G. Rumchev, Ventsi |
| author_facet | James, G. Rumchev, Ventsi |
| author_sort | James, G. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Adopting a discrete-time cohort-type model to represent the dynamics of a population, the problem of achieving a desired total size of the population under a balanced growth (contraction) and the problem of maintaining the desired size, once achieved, are studied. Properties of positive-time systems and M-matrices are used to develop the results, which are illustrated using simple examples. The material is presented in a format that makes it appropriate as background material for interesting applications based modelling assignments on undergraduate programmes in the mathematical sciences, applied sciences, economics and technology. All relevant properties of both positive-time systems and M-matrices are presented and clarified at the outset. |
| first_indexed | 2025-11-14T09:17:03Z |
| format | Journal Article |
| id | curtin-20.500.11937-43593 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:17:03Z |
| publishDate | 2006 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-435932017-09-13T13:39:38Z A role for M-matrices in modelling population growth James, G. Rumchev, Ventsi Adopting a discrete-time cohort-type model to represent the dynamics of a population, the problem of achieving a desired total size of the population under a balanced growth (contraction) and the problem of maintaining the desired size, once achieved, are studied. Properties of positive-time systems and M-matrices are used to develop the results, which are illustrated using simple examples. The material is presented in a format that makes it appropriate as background material for interesting applications based modelling assignments on undergraduate programmes in the mathematical sciences, applied sciences, economics and technology. All relevant properties of both positive-time systems and M-matrices are presented and clarified at the outset. 2006 Journal Article http://hdl.handle.net/20.500.11937/43593 10.1080/00207390600594952 Taylor & Francis restricted |
| spellingShingle | James, G. Rumchev, Ventsi A role for M-matrices in modelling population growth |
| title | A role for M-matrices in modelling population growth |
| title_full | A role for M-matrices in modelling population growth |
| title_fullStr | A role for M-matrices in modelling population growth |
| title_full_unstemmed | A role for M-matrices in modelling population growth |
| title_short | A role for M-matrices in modelling population growth |
| title_sort | role for m-matrices in modelling population growth |
| url | http://hdl.handle.net/20.500.11937/43593 |