Asymptotic behavior for a cellular replication and maturation model

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:360

Article

Deng, Keng

关键词: Delayed nonlocal transport equation;    Comparison principle;    Monotone sequences;    Existence-uniqueness;    Asymptotic behavior;   

DOI  :  10.1016/j.jmaa.2009.06.080

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free