Students who want extra readings and more background can enroll in the Mathematical Biology Journal Club I.

References

[1]

Leslie, P. H. On the use of matrices in certain population mathematics. Biometrika 33, 183-212 (1945).

[2]

May, R. M. and Oster, G. Bifurcations and dynamic complexity in simple ecological models. American Naturalist 110, 573-599 (1976).

[3]

Keener, J. P. On cardiac arrythmias: AV conduction block. Journal of Mathematical Biology 12, 215-225 (1981).

[4]

Nicholson, A. J. and Bailey, V. A. The balance of animal populations, part 1. Proceedings of the Zoological Society of London 3, 551-598 (1935).

[5]

May, R. M. Host-parasitoid systems in patchy environments: A phenomonological model. Journal of Animal Ecology 47, 833-844 (1978).

[6]

Clark, C. W. Mathematical Bioeconomics : the Optimal Management of Renewable Resources. Wiley, (1990).

[7]

Charnov, E. Optimal foraging: the marginal value theorem. Theoretical Population Biology 9, 129-136 (1976).

[8]

Ludwig, D., Jones, D. D., and Holling, C. S. Qualitative analysis of insect outbreak systems: the spruce budworm and forest. Journal of Animal Ecology 47, 315-332 (1978).

[9]

Kermack, W. O. and McKendrick, A. G. Contributions to the mathematical theory of epidemics. Royal Statistical Society Journal 115, 700-721 (1927).

[10]

Anderson, R. and May, R. M. Population biology of infectious diseases, part I. Nature 280, 361-367 (1979).

[11]

Bailey, N. The elements of stochastic processes. John Wiley and Sons, New York, (1964).

[12]

Pielou, E. C. Mathematical Ecology. John Wiley and Sons, New York, (1977).

[13]

Gurney, W. S. C., Blythe, S. P., and Nisbet, R. M. Nicholson's blowflies revisited. Nature 187, 17-21 (1980).

[14]

Mackey, M. C. and Glass, L. Oscillation and chaos in physiological control systems. Science 197, 287-289 (1977).

[15]

Volterra, V. Fluctuations in the abundance of a species considered mathematically. Nature 118, 558-560 (1926).

[16]

Armstrong, R. A. and McGehee, R. Competitive exclusion. American Naturalist 115, 151-170 (1980).

[17]

Briggs, G. E. and Haldane, J. B. S. A note on the kinetics of enzyme action. Biochemistry Journal 19, 338-339 (1925).

[18]

Pauling, L. The oxygen equilibrium of hemoglobin and its structural interpretation. Proc. Nat. Acad. Sci. 21, 186-191 (1935).

[19]

Monod, J., Wyman, J., and Changeux, J.-P. On the nature of allosteric transitions: a plausible model. Journal of Molecular Biology 12, 88-118 (1965).

[20]

Fitzhugh, R. Impulses and physiological states in theoretical models of nerve membranes. Biophysical Journal 1, 445-466 (1961).