Article ID Journal Published Year Pages File Type
4619306 Journal of Mathematical Analysis and Applications 2009 10 Pages PDF
Abstract

We consider a nonlocal first order partial differential equation with time delay that models simultaneous cell replication and maturation processes. We establish a comparison principle and construct monotone sequences to show the existence and uniqueness of the solution to the equation. We then analyze the asymptotic behavior of the solution via upper–lower solution technique.

Related Topics
Physical Sciences and Engineering Mathematics Analysis