A hierarchical size-structured population model.
A model is considered for the dynamics of a size-structured population in which the birth, death and growth rates of an individual of size s are functions of the total population biomass of all individuals of size larger or smaller than s. The dynamics of the size distribution is governed by the McK...
| Main Author: | |
|---|---|
| Other Authors: | |
| Language: | en |
| Published: |
The University of Arizona.
1996
|
| Online Access: | http://hdl.handle.net/10150/187505 |
| id |
ndltd-arizona.edu-oai-arizona.openrepository.com-10150-187505 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-arizona.edu-oai-arizona.openrepository.com-10150-1875052015-10-23T04:34:31Z A hierarchical size-structured population model. Blayneh, Kbenesh W. Cushing, Jim Lomen, David Brio, Moysey A model is considered for the dynamics of a size-structured population in which the birth, death and growth rates of an individual of size s are functions of the total population biomass of all individuals of size larger or smaller than s. The dynamics of the size distribution is governed by the McKendrick equations. An existence/uniqueness theorem for this equation is proved using an equivalent pair of partial and ordinary differential equations. The asymptotic dynamics of the density function is studied and some applications of the model to intraspecific predation and certain types of intraspecific competitions are given. 1996 text Dissertation-Reproduction (electronic) http://hdl.handle.net/10150/187505 9626546 en Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. The University of Arizona. |
| collection |
NDLTD |
| language |
en |
| sources |
NDLTD |
| description |
A model is considered for the dynamics of a size-structured population in which the birth, death and growth rates of an individual of size s are functions of the total population biomass of all individuals of size larger or smaller than s. The dynamics of the size distribution is governed by the McKendrick equations. An existence/uniqueness theorem for this equation is proved using an equivalent pair of partial and ordinary differential equations. The asymptotic dynamics of the density function is studied and some applications of the model to intraspecific predation and certain types of intraspecific competitions are given. |
| author2 |
Cushing, Jim |
| author_facet |
Cushing, Jim Blayneh, Kbenesh W. |
| author |
Blayneh, Kbenesh W. |
| spellingShingle |
Blayneh, Kbenesh W. A hierarchical size-structured population model. |
| author_sort |
Blayneh, Kbenesh W. |
| title |
A hierarchical size-structured population model. |
| title_short |
A hierarchical size-structured population model. |
| title_full |
A hierarchical size-structured population model. |
| title_fullStr |
A hierarchical size-structured population model. |
| title_full_unstemmed |
A hierarchical size-structured population model. |
| title_sort |
hierarchical size-structured population model. |
| publisher |
The University of Arizona. |
| publishDate |
1996 |
| url |
http://hdl.handle.net/10150/187505 |
| work_keys_str_mv |
AT blaynehkbeneshw ahierarchicalsizestructuredpopulationmodel AT blaynehkbeneshw hierarchicalsizestructuredpopulationmodel |
| _version_ |
1718098195676921856 |