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Asynchronous exponential growth for an age dependent population equation with delayed birth process

✍ Scribed by Susanna Piazzera; Lorenza Tonetto

Book ID: 105765376
Publisher: Springer
Year: 2005
Tongue: English
Weight: 155 KB
Volume: 5
Category: Article
ISSN: 1424-3199
DOI: 10.1007/s00028-004-0159-6

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📜 SIMILAR VOLUMES

An age-dependent population equation wit

An age-dependent population equation with delayed birth process

✍ Susanna Piazzera 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 117 KB

## Abstract Within a semigroup framework, we discuss well posedness and qualitative behaviour of an age‐dependent population equation with delay in the birth process. Using positivity and Perron–Frobenius theory we obtain an explicit stability criterion. Copyright © 2004 John Wiley & Sons, Ltd.

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Necessary and Sufficient Conditions for Asynchronous Exponential Growth in Age Structured Cell Populations with Quiescence

✍ O. Arino; E. Sánchez; G.F. Webb 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 217 KB

A linear model on age structured cell population is analyzed. The population is divided into proliferating and quiescent compartments. Necessary and sufficient conditions are established for the population to exhibit the asymptotic behavior of asynchronous exponential growth. The model is analyzed a