Nicholson's blowflies revisited: A fuzzy modeling approach

Authors:
Iosef Rashkovsky;Michael Margaliot
Affiliations:
School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel;School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

We apply fuzzy modeling to derive a mathematical model for a biological phenomenon: the regulation of population size in the Australian sheep-blowfly Lucilia cuprina. This behavior was described by several ethologists and fuzzy modeling allows us to transform their verbal descriptions into a well-defined mathematical model. The behavior of the resulting mathematical model, as studied using both simulations and rigorous analysis, is congruent with the behavior actually observed in nature. We believe that the fuzzy modeling approach demonstrated here may supply a suitable framework for biomimicry, that is, the design of artificial systems based on mimicking natural behavior.