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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Continuous Single-Species Population Models with Delays
verfasst von : Fred Brauer, Carlos Castillo-Chavez
Erschienen in: Mathematical Models in Population Biology and Epidemiology
Verlag: Springer New York
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Up to now in our study of continuous population models we have been assuming that
x
′(
t
), the growth rate of population size at time
t
, depends only on
x
(
t
), the population size at the same time
t
. However, there are situations in which the growth rate does not respond instantaneously to changes in population size. One of the first models incorporating a delay was proposed by Volterra (1926) to take into account the delay in response of a population’s death rate to changes in population density caused by an accumulation of pollutants in the past.