Restrictions on the applicability of Volterra's ecological equations

Springer Science and Business Media LLC - Tập 33 - Trang 571-577 - 1971
Michael A. B. Deakin1
1Papua and New Guinea Institute of Technology, Lae, New Guinea

Tóm tắt

Results by Volterra (1931) and Rescigno and Richardson (1965) are combined with an analysis by Leigh, (1968) to prove restrictions on the applicability of the conservative Volterra equations in ecological theory.

Tài liệu tham khảo

Kerner, E. H. 1957. “A Statistical Mechanics of Interacting Biological Species.”Bull. Math. Biophysics,19, 121–146.

——. 1959. “Further Considerations on the Statistical Mechanics of Biological Associations.” —Ibid.,21, 217–255.

Leigh, E. R. 1968. “The Ecological Role of Volterra's Equations.” InSome Mathematical Problems in Biology, ed. M. Gerstenhaber. Providence: Am. Math. Soc., 1–61.

Rescigno, A. and I. Richardson. 1965. “On the Competitive Exclusion Principle.”Bull. Math. Biophysics,27 (Special Issue), 85–89.

Volterra, V. 1931.Leçons sur la Théorie Mathématique de la Lutte pour la Vie. Paris: Gauthier-Villars.

—— 1934. “Principes de biologie mathématique.”Acta. Biotheor.,3, 1–36.

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Springer Science and Business Media LLC

Tập 33

571-577

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