6533b86dfe1ef96bd12c9e49
RESEARCH PRODUCT
An existence and uniqueness principle for a nonlinear version of the Lebowitz-Rubinow model with infinite maximum cycle length
David Ariza-ruizJesús Garcia-falsetKhalid Latrachsubject
education.field_of_studyGeneral Mathematics010102 general mathematicsMathematical analysisPopulationGeneral EngineeringNonlocal boundary01 natural sciences010101 applied mathematicsNonlinear systemPopulation modelUniqueness0101 mathematicsNonlinear evolutioneducationValue (mathematics)Cycle lengthMathematicsdescription
The present article deals with existence and uniqueness results for a nonlinear evolution initial-boundary value problem, which originates in an age-structured cell population model introduced by Lebowitz and Rubinow (1974) describing the growth of a cell population. Cells of this population are distinguished by age a and cycle length l. In our framework, daughter and mother cells are related by a general reproduction rule that covers all known biological ones. In this paper, the cycle length l is allowed to be infinite. This hypothesis introduces some mathematical difficulties. We consider both local and nonlocal boundary conditions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-10-19 | Mathematical Methods in the Applied Sciences |