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 |
| Summary: | 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. |
|---|