ANZIAM J.
43 (2002), 359-374
|
Analysis of cell population PDE models with general maturation rates
|
|
|
|
and
|
Shenghai Zhang
Department of Statistics and
Actuarial Science
University of Waterloo
Waterloo, Ontario N2L 3G1
Canada
shzhang@uwaterloo.ca
|
|
|
Abstract
|
model with a general maturation rate. This model
is described by a nonlinear PDE. We use the
theory of operator semigroups to study the
problem under simple hypotheses on the growth
function and the nonlinear term. By showing that
a related operator generates a strongly
continuous semigroup, we prove the existence of a
classical solution of the nonlinear problem and
its positivity. It is also proved that under
simple hypotheses, the problem generates a
semiflow. The invariance of the semiflow is
studied as well.
|
Download the article in PDF format (size 127 Kb)
|
|
|
|