ISSN:
1432-1416
Keywords:
Size-dependent population growth
;
Reproduction by fission
;
Balance equation
;
First-order partial differential equation
;
Transformed arguments
;
Stable size distribution
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract A model for the growth of a size-structured cell population reproducing by fission into two identical daughters is formulated and analysed. The model takes the form of a linear first order partial differential equation (balance law) in which one term has a transformed argument. Using semigroup theory and compactness arguments we establish the existence of a stable size distribution under a certain condition on the growth rate of the individuals. An example shows that one cannot dispense with this condition.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00277748
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