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Global stability in a delayed partial differential equation describing cellular replication

✍ Scribed by Michael C. Mackey; Ryszard Rudnicki

Publisher
Springer
Year
1994
Tongue
English
Weight
861 KB
Volume
33
Category
Article
ISSN
0303-6812

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✦ Synopsis

Here we consider the dynamics of a population of cells that are capable of simultaneous proliferation and maturation. The equations describing the cellular population numbers are first order partial differential equations (transport equations) in which there is an explicit temporal retardation as well as a nonlocal dependence in the maturation variable due to cell replication. The behavior of this system may be considered along the characteristics, and a global stability condition is proved.

πŸ“œ SIMILAR VOLUMES

Global stability for a class of delay di
Global stability for a class of delay differential equations
✍ U ForyΕ› πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 232 KB

The aim of this paper is to study the behaviour of solutions to a class of delay differential equations where the right-hand side depends only on the terms with delay. We study nonnegativity of solutions and global stability of the model.