Nicholson's blowflies revisited: A fuzzy modeling approach

Fuzzy Sets and Systems

Volumn 158, Issue 10, 2007, Pages 1083-1096

  Rashkovsky, Iosef ^a   Margaliot, Michael ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Biomimicry; Differential equations with time delay; Emergent behavior; Linguistic modeling; Periodic behavior; Population dynamics; Switched systems with time delay

Indexed keywords

COMPUTATIONAL LINGUISTICS; FUZZY SETS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; POPULATION DYNAMICS;

BIOMIMICRY; EMERGENT BEHAVIOR; LINGUISTIC MODELING; PERIODIC BEHAVIOR; SWITCHED SYSTEMS;

COMPUTER SIMULATION;

EID: 33947261046     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2006.11.001     Document Type: Article

References (23)

1. Y. Bar-Cohen, C. Breazeal (Eds.), Biologically Inspired Intelligent Robots, SPIE Press, 2003.
2. Benitez J.M., Castro J.L., and Requena I. Are artificial neural networks black boxes. IEEE Trans. Neural Networks 8 (1997) 1156-1164
3. Bjornstad O.N., and Grenfell B.T. Noisy clockwork: time series analysis of population fluctuations in animals. Science 293 (2001) 638-643
4. D.R. Brillinger, J. Guckenheimer, P. Guttorp, G. Oster, Empirical modelling of population time series data: the case of age and density dependent vital rates, Lectures on Mathematics in the Life Sciences, vol. 13, 1980, pp. 65-90.
5. Chang C., and Gaudiano P. Biomimetic robotics. Robotics and Autonomous Systems 30 1 (2000) 1-2
6. R. D. Driver, Ordinary and Delay Differential Equations, Applied Mathematical Sciences, vol. 20, Springer, Berlin, 1977.
7. Dubois D., Nguyen H.T., Prade H., and Sugeno M. Introduction: the real contribution of fuzzy systems. In: Nguyen H.T., and Sugeno M. (Eds). Fuzzy Systems: Modeling and Control (1998), Kluwer, Dordrecht 1-17
8. Fraenkel G.S., and Gunn D.L. The Orientation of Animals: Kineses, Taxes, and Compass Reactions (1961), Dover Publications, New York
9. Gurney W.S.C., Blythe S.P., and Nisbet R.M. Nicholson's blowflies revisited. Nature 287 (1980) 17-21
10. Hastings A., Hom C.L., Ellner S., Turchin P., Charles H., and Godfray J. Chaos in ecology: is mother nature a strange attractor?. Annu Rev. Ecol. Systematics 24 (1993) 1-33
11. Kendall B.E., Briggs C.J., Murdoch W.W., Turchin P., Ellner S.P., McCauley E., Nisbet R.M., and Wood S.N. Why do populations cycle? a synthesis of statistical and mechanistic modeling approaches. Ecology 80 (1999) 1789-1805
12. Margaliot M., and Langholz G. Fuzzy Lyapunov based approach to the design of fuzzy controllers. Fuzzy Sets and Systems 106 1 (1999) 49-59
13. Margaliot M., and Langholz G. New Approaches to Fuzzy Modeling and Control-Design and Analysis (2000), World Scientific, Singapore
14. Mattheck C. Design in Nature: Learning from Trees (1998), Springer, Berlin
15. Mueller L.D. Theoretical and empirical examination of density-dependent selection. Annu. Rev. Ecol. Syst. 28 (1997) 269-288
16. Nicholson A.J. An outline of the dynamics of animal populations. Austral. J. Zool. 2 (1954) 9-65
17. A.J. Nicholson, The self-adjustment of populations to change, Cold Spring Harbor Symposium on Quantitative Biology vol. 22, 1957, pp. 153-173.
18. S.-I. Niculescu, Erik I. Verriest, L. Dugard, J.-M. Dion, Stability and robust stability of time-delay systems: a guided tour. in: L. Dugard, E.I. Verriest, (Eds), Stability and Control of Time-Delay Systems, Lecture Notes in Control and Information Sciences, vol. 228, Springer, Berlin, 1998, pp. 1-71.
19. V. Rozin, M. Margaliot, The fuzzy ant. 2006, (Online), available 〈www.eng.tau.ac.il/∼michaelm〉, submitted for publication.
20. Tron E., and Margaliot M. Mathematical modeling of observed natural behavior: a fuzzy logic approach. Fuzzy Sets and Systems 146 (2004) 437-450
21. Tron E., and Margaliot M. How does the Dendrocoleum lacteum orient to light? a fuzzy modeling approach. Fuzzy Sets and Systems 155 (2005) 236-251
22. Wood S.N. Partially specified ecological models. Ecological Monogr. 71 (2001) 1-25
23. Zadeh L.A. Fuzzy logic = computing with words. IEEE Trans. Fuzzy Systems 4 2 (1996) 103-111