ISSN:
1432-1416
Keywords:
Functional response
;
Structured population models
;
Markov processes approximating stochastic processes
;
van Kampen expansion
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract In this paper we give an analytical reformulation of Holling's (1966) simulation model for invertebrate predatory behaviour. To this end we represent a population of predators as a frequency distribution over a space of (physiological) states. The functional response of a predator is calculated from the (stable) equilibrium distribution of its state as a function of prey density. Starting from the general model various other models are obtained by limit processes, some of them new and some of them old. The more interesting of which will be studied in further papers in this series.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00275716
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