Open AccessStructured populations with diffusion and Feller conditions
Author(s) -
Agnieszka Bartłomiejczyk,
Henryk Leszczyński
Publication year - 2016
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2015002
Subject(s) - mathematics , statistical physics , population model , diffusion , population , boundary (topology) , mathematical economics , econometrics , mathematical analysis , physics , demography , thermodynamics , sociology
We prove a weak maximum principle for structured population models with dynamic boundary conditions. We establish existence and positivity of solutions of these models and investigate the asymptotic behaviour of solutions. In particular, we analyse so called size profile.