Some Examples of Mathematical Models for the Dynamics of Several-Species Ecosystems

Author:

van der Vaart H. R.

Publisher

Springer New York

Reference73 articles.

1. J. K. Aggarwal, Notes on Nonlinear Systems. New York: Van Nostrand, 1972, 214 pp.; in the paperback series “Notes on System Sciences.” One of the titles mentioned at the end of Remark 5 in Section 2.1, it would be very desirable to have one of these around, and the present one is an inexpensive paperback.

2. W. C. Allee, A. E. Emerson, O. Park, T. Park, and K. P. Schmidt, Principles of Animal Ecology. Philadelphia: Saunders, 1949, 837 pp. See Sections 1.1 and 3. If the library on your campus has it, it is worthwhile for you and your students to have a good look at it, but don’t have it ordered.

3. U.d’Ancona, The Struggle for Existence,A. Charles and R. F. L. Withers, Trs., vol. 6 of Bibliotheca Biotheoretica. Leiden: Brill, 1954, 274 pp. Available in hardcover and in paperback. See Sections 1.1, 1.2, 2.1 (Exercise 3), and 4. It is very desirable,in fact almost essential,to have this book available (for the instructor).

4. A. A. Andronov, E. A. Leontovich, I. I. Gordon, and A. G. Maier, Qualitative Theory of Second-Order Dynamic Systems. New York: Wiley, 1973, 524 pp. (Translated from a 1966 Russian edition.) One of the titles mentioned at the end of Remark 5 in Section 2.1, it would be very desirable to have one of these around. The present one is unusually detailed and exhaustive, but very expensive, and it does not discuss systems of dimension larger than two.

5. F. J. Ayala, “Competition, Coexistence, and Evolution,” in Essays in Evolution and Genetics in Honor of Th. Dobzhansky: A Supplement to Evolutionary Biology, M. K. Hecht and W. C. Steere, Eds. New York: Appleton-Century-Crofts, 1970, pp. 121–158. See Section 3. 3.

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