Global Stability of Food Chains

Finerty, J. P. 1971. Cyclic fluctuations in biological systems: a reevaluation. Ph.D. Thesis, Yale University. Gilpin, M. E. 1973. Do hares eat lynx? Am. Nat. 107:727-730. Leigh, E. G., Jr. 1968. The ecological role of Volterra's equations. Pages 1-61 in M. Gerstenhaber, ed. Some mathematical problems in biology. American Mathematics Society, Providence, R.I. MacLulich, D. A. 1937. Fluctuations in the numbers of the varying hare. University of Toronto Studies, Biology Series 43. University of Toronto Press, Toronto. 1957. The place of chance in population processes. J. Wildl. Manage. 21:293-299. Watt, K. E. F. 1968. Ecology and resource management. McGraw-Hill, New York. Weinstein, M. S. 1977. Hares, lynx, and trappers. Am. Nat. 111: 806-808. Williamson, M. 1972. The analysis of biological populations. Arnold, London. 1975 The hiolonical internretation of time series anavlsis. Bul. Inst. Math. AnnI 11: 67-69

[1]  Vito Volterra,et al.  Leçons sur la théorie mathématique de la lutte pour la vie , 1931 .

[2]  L. Lapidus,et al.  The stability of interacting populations , 1973 .

[3]  E. H. Kerner,et al.  A statistical mechanics of interacting biological species , 1957 .

[4]  B. Goh.  Global Stability in Many-Species Systems , 1977, The American Naturalist.

[5]  J. P. Lasalle.  THE EXTENT OF ASYMPTOTIC STABILITY. , 1960, Proceedings of the National Academy of Sciences of the United States of America.

[6]  H. Morowitz,et al.  A method for phenomenological analysis of ecological data. , 1972, Journal of theoretical biology.

[7]  B. Goh,et al.  Global stability in two species interactions , 1976, Journal of mathematical biology.

[8]  The global asymptotic stability of prey-predator systems with second-order dissipation. , 1974, Bulletin of mathematical biology.

[9]  J. Harte,et al.  On the vulnerability of ecosystems disturbed by man , 1974 .