ASYMPTOTIC-BEHAVIOR OF A MODEL OF HIERARCHICALLY STRUCTURED POPULATION-DYNAMICS

Citation
A. Calsina et J. Saldana, ASYMPTOTIC-BEHAVIOR OF A MODEL OF HIERARCHICALLY STRUCTURED POPULATION-DYNAMICS, Journal of mathematical biology, 35(8), 1997, pp. 967-987
Citations number
20
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
ISSN journal
03036812
Volume
35
Issue
8
Year of publication
1997
Pages
967 - 987
Database
ISI
SICI code
0303-6812(1997)35:8<967:AOAMOH>2.0.ZU;2-2
Abstract
A hierarchically structured population model with a dependence of the vital rates on a function of the population density (environment) is c onsidered. The existence, uniqueness and the asymptotic behaviour of t he solutions is obtained transforming the original non-local PDE of th e model into a local one. Under natural conditions, the global asympto tical stability of a nontrivial equilibrium is proved. Finally, if the environment is a function of the biomass distribution, the existence of a positive total biomass equilibrium without a nontrivial populatio n equilibrium is shown.