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On the stability of the stationary state of a population growth equation with time-lag

โœ Scribed by K. P. Hadeler

Publisher
Springer
Year
1976
Tongue
English
Weight
176 KB
Volume
3
Category
Article
ISSN
0303-6812

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โœฆ Synopsis

If in the Verhulst equation for population growth the reproduction factor depends on the history then the equilibrium may become unstable and oscillations and even non-constant periodic solutions may occur. It is shown that the equilibrium is unstable if the reproduction factor at time t is, up to a sufficiently large factor, an arbitrary average of the population densities in the interval (t-2, t-1).

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