✦ LIBER ✦

Global behaviour of age-dependent logistic population models

✍ Scribed by W. L. Chan; B. Z. Guo

Publisher: Springer
Year: 1990
Tongue: English
Weight: 448 KB
Volume: 28
Category: Article
ISSN: 0303-6812
DOI: 10.1007/bf00163146

No coin nor oath required. For personal study only.

✦ Synopsis

We study the large time behaviour of a nonlinear population model with a general logistic term. It is proved that every solution must have a limit when time becomes infinite. We present conditions that guarantee the boundedness of the solution. Furthermore, we prove that in general no oscillation is possible for the total number of population. This is in sharp contrast to the linear case.

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