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Global behaviour of age-dependent logistic population models (1990)

Chan, W. L. ; Guo, B. Z.

Springer

Journal of mathematical biology 28 (1990), S. 225-235

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ISSN: 1432-1416

Keywords: Logistic growth ; Age-dependent model ; Global stability ; Oscillation ; Boundedness of solution

Source: Springer Online Journal Archives 1860-2000

Topics: Biology , Mathematics

Notes: Abstract 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00163146

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